
quantum sambhaavyata

quantum potential ledhaa quantum potential anedi quantum mechanics yokka dii brogley-boam suutreekarana yokka kendra bhavana, dheenini 1952loe david boam pravesapettaaru.
praarambhamlo "quantum-mechanical potential" anae paerutoe, taruvaata "quantum potential" anae paerutoe pradarsinchabadindi, taruvaata dheenini boam mariyu tulasi hilly quantum kanampai panichese samachara potentialga daani vyaakhyaanamlo vivarinchaaru. dheenini "quantum potential energy", "boam potential", "quantum boam potential" ledhaa "boam quantum potential" anie kooda pilustaaru.
dii brogley-boam siddhaantam yokka chatramlo, quantum sambhaavyata anedi scroadinger sameekaranamlo oka padam, idhi quantum kanaala kadalikaku maarganirdesam chestundi. boam pravesapettina quantum potential vidhanam luis dii brogley samarpinchina aalochanaku bhouthikamgaa takkuva praathamika vivarananu andistundihi dii brogley 1925loe antarikshakaalamlo nirvachinchina saapeksha taranga function oka quantum kanaaniki maarganirdesam chese oka prayogaatmaka taramgaanni suuchistumdani pratipaadinchaaru, idhi taranga kshetramlo dolanam chese sikharamgaa suuchimchabadutumdi, conny athanu taruvaata thana vidhananni vidichipettadu endukante athanu rekhaatmaka-kaani taranga sameekaranam nundi kanaaniki maargadarsaka sameekaranaanni pondalekapoyadu. 1952loe boam yokka praathamika vyasalu quantum sambhaavyatanu pravesapettaayi mariyu prayogaatmaka taranga siddhaantaaniki vyatiraekamgaa levanettina abhyantaraalaku samaadhaanaalanu cherchaayi.
boam quantum sambhaavyata itara vidhaanaala phalitaalato daggari sambandham kaligi undhi, mukhyamgaa 1927 naati erwin madelung mariyu 1935 naati carle friedrich vaan veejsakar chesina paniki sambandhinchinadi.
1952loe boam pravesapettina quantum siddhaantam yokka vivarana aadhaaramgaa, 1975loe david boam mariyu tulasi hilly "quantum sambhaavyata" anae bhavana "mottam viswam yokka vichchinnam kaani sampuurnata" anae bhavanaku elaa daariteestundo pradarsinchaaru, quantum bhouthika shaastram pravesapettina praathamika kotta naanhyata sthaanarahitam anie pratipaadinchaaru.
shroadinger sameekaranamlo bhaagamgaa quantum sambhaavyata.
shroadinger sameekaranam
vaastava-viluva function suutram _ 3 mariyu suutram _ 4 thoo taranga function suutram _ 2 kosam dhruva roopaanni upayoginchi tirigi vraayabadutundi, ikkada suutram _ 3 anedi taranga function suutram _ 6 yokka vyaapti (sampoorna viluva), mariyu suutram _ 7 daani dasha. idhi rendu sameekaranaalanu istundih shroadinger sameekaranam yokka oohaatmaka mariyu vaastava bhaagam nundi varusaga konasagimpu sameekaranam mariyu quantum hamilton-jacobi sameekaranaanni anusarinchandi.
konasagimpu sameekaranam.
dhruva roopamlo shroadinger sameekaranam yokka oohaatmaka bhaagam digubadi istundi
idhi, suutram _ 9 andinchina, sambhaavyata saandrata suutram _ 11 mariyu vegam kshetra suutram _ 12 kosam konasagimpu sameekarana suutram _ 10 gaa ardham chesukovacchu.
quantum hamilton-jacobi sameekaranam.
dhruva roopamlo shroadinger sameekaranam yokka nijamaina bhaagam savarinchina hamilton-jacobi sameekaranaanni istundi.
dheenini "quantum hamilton-jacobi sameekaranam" anie kooda pilustaaru. idhi saampradaaya hamilton-jacobi sameekaranaaniki eee padam dwara matrame bhinnamgaa untundi.
quantum potential" anie piluvabade eee padam formula _ 14, kabatti taranga function yokka vyaapti yokka vakratapai aadharapadi untundi.
parimiti suutram _ 15loe, function suutram _ 4 anedi (shaastreeya) hamilton-jacobi sameekaranam yokka parishkaram; anduvalla, function suutram _ 4nii hamilton-jacobi function ledhaa charya anie kooda pilustaaru, idhi quantum bhouthika saastraaniki vistarinchabadindi.
aastulu.
quantum kanaala yokka quantum sambhaavyatanu parigananaloki teesukune aneka amsaalanu hayley nokki chepparu
1979loe, hilly mariyu athani sahodyogulu philippidis mariyu dudney quantum sambhaavyata prabhaavamtho kadulutunna prati kanaaniki utpannamayye bohmian pathaala paramgaa rendu-slit prayogam yokka vivaranapai puurti ganananu samarpinchaaru, phalitamgaa baga telisina jokyam namuunaalu erpaddaayi.
aharonov-boam prabhaavamlo ayaskanta kshetram samakshamlo sambhavinche jokyam namuunaa yokka maarpunu kooda quantum sambhaavyata nundi utpannamavutundani vivarinchavacchu.
kolata prakriyaku sambandhinchinadi.
quantum siddhaantam yokka copenhagen vivarana yokka taranga paniteeru yokka patanam quantum sambhaavya vidhaanamlo oka kolata tarvaata, "kolata yokka vaastava phalitaaniki anugunamgaa laeni bahula-dimensional taranga paniteeru yokka anni pyaaketlu kanampai etuvanti prabhavam chuupavu" anie pradarsinchadam dwara vivarinchabadindi. boam mariyu hayley etthi chuupaaru
kolatalo "oka bhaagaswaamya parivartana untundi, dheenilo pariseelanaloo unna vyavastha mariyu pariseelana upakaranam rendoo paraspara bhaagaswaamyaaniki lonavutaayi, tadwara pathaalu paraspara sambandham unna paddhatiloo pravartistaayi, paraspara sambandham kaligi untaayi mariyu vibhina, ativyaapti chendani setlugaa vibhajinchabadataayi (veetini manam 'chhaanals' anie pilustaamu)".
oka n-kana vyavastha yokka quantum sambhaavyata.
aneka kanaala quantum vyavastha yokka shroadinger taranga paniteerunu saadhaarana trimiteeya pradaesamloe suchinchalemu. badulugaa, idhi prati kanaaniki moodu kolatalato aakruteekarana sthalamlo suuchimchabadutumdi. aakruteekarana sthalamlo oka binduvu mottam n-kana vyavastha yokka aakruteekarananu suuchistumdi.
dravyarashi suutram _ 22 yokka okelanti kanaala yokka rendu-kanaala taranga function suutram _ 21 quantum sambhaavyatanu kaligi untundi.
ikkada suutram _ 24 mariyu suutram _ 25 varusaga kana 1 mariyu kana 2 nuu suuchistaayi. eee vyakteekarana suutram _ 26 kanaalaku suutigaa saadhaaraneekaristundih
rendu ledhaa anthakante ekkuva kanaala taranga function vaeru cheyagaligithe, appudu vyavastha yokka mottam quantum sambhaavyata rendu kanaala quantum sambhaavyata yokka mottam avutundi. khachitamaina vibhajana anedi chaalaa anoohyamainadi, endukante vyavastha mariyu daani paryaavaranam madhya paraspara charyalu kaarakatvaanni naasanam chestaayi; ayithe, sumaruga vidadeeyabadina maddatu yokka aneka taranga vidhula yokka superposition ayina taranga function sumaruga karakamga untundi.
vaeru cheyagala quantum vyavastha kosam utpannam.
taranga function vaeru cheyadaginadi antey suutram _ 6 suutram _ 29 loe kaarakamavutundi. appudu adhi suutram _ 3 karakamga kooda untundi, mariyu vyavastha yokka mottam quantum sambhaavyata rendu kanaala quantum sambhaavyata yokka mottam avutundi.
okavela taranga function vaeru cheyadaginadi ayithe, antey, suutram _ 6 suutram _ 29 roopamlo karakamga unte, rendu oka-kanam vyavasthalu swatantramgaa pravartistaayi. marinta saadhaaranamgaa, vaeru cheyagala taranga function thoo kuudina suutram _ 26-kana vyavastha yokka quantum sambhaavyata suutram _ 26 quantum sambhaavyata yokka mottam, idhi vyavasthanu suutram _ 26 swatantra oka-kana vyavasthalugaa vaeru chestundi.
sambhaavyata saandrata paramgaa suutreekarana.
sambhaavyata saandrata function paramgaa quantum sambhaavyata.
boam, alaage athani taruvaata itara bhouthika saastravettalu, suutram _ 3nii sambhaavyata saandrata panitiirutoe anusandhaaninche puttukatho vacchina niyamam anedaaniki aadhaaraalanu andinchadaaniki prayatninchaaru.
oka prayogaatmaka taranga suutreekaranaloo, praathamika niyamanni suuchimchadani ardham chesukovacchu, conny oka "siddhaantam" (quantum samathoulya parikalpana anie pilustaaru), idhi shroadinger sameekaranam kinda abhivruddhi samayamlo "quantum samathoulyam" cherukunnappudu vartistundi. puttukatho niyamaalu, mariyu golusu mariyu utpatti niyamaala suutigaa vartimpajeyadam
sambhaavyata saandrata function paramgaa vyakteekarinchabadina quantum sambhaavyata ilaa avtundi
quantum shakti.
sambhaavyata pampinhee paramgaa vyakteekarinchabadina quantum shakti suutram _ 41, eee krindi vidhamgaa untundih
projectionla phalitamgaa, configuration space mariyu momentum space loe suutreekarana.
emm. aarr. godhuma mariyu bii. daani suutreekarana padaala aakruteekarana sthalam (suutram _ 43-sthalam) kuu pratyamnaayamgaa, quantum sambhaavyatanu momentum space (suutram _ 44-sthalam) paramgaa kooda roopondinchavacchani hayley choopinchaadu.
david boam yokka vidhaanaaniki anugunamgaa, tulasi hilly mariyu ganita shaastravetta mauris dii gosan quantum sambhaavyatanu oka antarleena nirmaanam yokka projection phalitamgaa chudavachani chuupimchaaru, marinta pratyaekamgaa oka naan-commutative beejaganita nirmaanam, saadhaarana sthalam (formula _ 43-space) vanti upa pradaesampai. beejaganita paramgaa, quantum potentialnu implicate mariyu explicate arderla madhya sambandham nundi utpannamavutunnatlu chudavachuhu quantum formalism yokka naan-commutative structurenu vivarinchadaaniki naan-commutative beejaganitaanni upayoginchinatlayithe, antarleena sthalaanni nirvachinchadam asadhyam, conny "shahdo spaces" (homomorphic spacelu) nuu nirminchavacchu mariyu alaa cheyadam dwara quantum potential kanipistundi. quantum potential vidhananni needa pradaesaalanu nirminchadaaniki oka maargamgaa chudavachu. quantum sambhaavyata anedi antarleena sthalaanni formula _ 43-space loki projection cheyadam valla vakreekaranaku daariteestundi, oka mercator projection maadirigaane anivaryamgaa bhougolika patamlo vakreekaranaku daariteestundi. suutram _ 43-praatinidhyam madhya puurti samaruupata undhi, mariyu aakruteekarana sthalamlo kanipinche quantum sambhaavyata momentum suutram _ 44-praatinidhyam yokka vyaapti nundi utpannamavutunnatlu chudavachu.
duffin-kemmer-petiyu beejaganitam vidhanam paramgaa kooda eee vidhanam vistarinchina dasha sthalaaniki vartinchabadindi.
itara parimaanaalu mariyu siddhaantaalaku sambandhinchinadi.
matsyakaarula samaachaaraaniki sambandhinchinadi.
quantum potential formula _ 49 yokka sagatu viluva gamaninchadagina formula _ 50 gurinchi sambhaavyata saandrata yokka matsyakaara samaachaaraaniki anulomaanupaatamlo untundani chuupavachchu.
matsyakaarula samacharam kosam eee nirvachananni upayoginchi, manam ilaa vraayavachuhu
madelang pressure tensorku sambandham.
1927loe erwin madelung samarpinchina madelung sameekaranaalalo, naan-lokal quantum pressure tensor quantum potential maadirigaane ganita roopaanni kaligi untundi. antarleena siddhaantam bhinnamgaa untundi, boam vidhanam kana pathaalanu vivaristundi, ayithe madelung quantum hydrodynamics sameekaranaalu daani sagatu ganaanka lakshanaalanu vivarinche dravam yokka euler sameekaranaalu.
vaan veejsakar diddubaatuku sambandhinchinadi.
1935loe, carle friedrich vaan veejsakar anuvula thamus-fermi (tf) siddhaantam yokka gathi saktiki oka ekaruupata padam (konnisaarlu "vaan veejsakar diddubaatu" gaa suuchistaaru) nuu jodinchaalani pratipaadinchaaru.
vaan veejsakar diddubaatu padam
diddubaatu padam hartree-phaak siddhaantaaniki pakshika-shaastreeya diddubaatulo tf kinetic energyki modati-arder diddubaatugaa kooda udbhavinchindi.
takkuva saandrata vadda vaan veejsakar diddubaatu padam quantum potential maadirigaane adhe roopaanni teesukuntundani etthi choopabadindi.
spin thoo anubandhinchabadina antargata kadalika saktigaa quantum sambhaavyata.
geovanni saelsi, erasmo rikami mariyu sahodyogulu 1998loe conig siddhaantaaniki anugunamgaa, quantum sambhaavyatanu antargata kadalika ("jitterbevegang") yokka gathi saktitoe gurtinchavacchani chuupimchaaru, idhi spin-1⁄2 kanam yokka spin thoo sambandham kaligi untundi, idhi dravyarashi frame madhyalo gamaninchabadutundi. marinta pratyaekamgaa, vaaru oka spinning kosam antargata "jitterbevegang" vegaanni chuupimchaaru, etuvanti mundadugu lekunda sthiramaina spin yokka saapekshata laeni kanam, mariyu bahya kshetram lenappudu, squared viluvanu kaligi untundih
dheeni nundi rendava padam athi takkuva parimaanamlo unnatlu choopabadindi; appudu suutram _ 55 thoo adhi anusaristundi
2009loe saelsi eee paniki sambandhinchina marinni vivaraalanu icchaaru.
1999loe, salvatore esposito spin-1⁄2 kanaala nundi ekapaksha spin kanaalaku vaati phalitaanni saadhaaraneekarinchindi, quantum sambhaavyatanu antargata kadalikaku gathi saktigaa vyakhyaaninchadaanni dhruveekarinchindi. quantum potentialnu (sangnaamaana suutram _ 57 = 1 upayoginchi) ilaa vraayavacchani esposito choopinchindih
mariyu quantum mechanics yokka kaarana vivarananu kana vegam paramgaa punarnirminchavachhu
drift valacity" ekkada undhi
mariyu "saapeksha vegam" suutram _ 61,
mariyu suutram _ 63 kanamu yokka tirige disanu suuchistumdi. eee suutreekaranaloo, esposito prakaram, quantum mechanicsnu tappanisarigaa sambhaavya padaalaloo ardham chesukovali, endukante oka vyavastha yokka prarambha chalana paristhitini khachitamgaa nirnayinchalemu. esposito vivaristuu, "scroadinger sameekaranamlo unde quantum prabhavalu kanamtho anubandhinchabadina oka vichitramaina praadaesika dhisha undatam valla, sthalam yokka isotropyni oohinchi, kanapu spin thoo gurtinchavacchu". esposito daanini padaartha kanaala nundi kanaalanu koliche varaku, pratyekinchi photanla varaku saadhaaraneekarinchaadu, dheeni kosam, suutram _ 64 gaa roopondinchinatlayithe, sambhaavyata function suutram _ 65 thoo, vaatini quantum sambhaavya vidhaanamlo ardham chesukovacchu.
james aarr. bogan, 2002loe, shaastreeya yantrasaastram yokka hamilton-jacobi sameekaranam nundi quantum mechanics yokka samaya-aadhaarita shroadinger sameekaranaaniki paraspara parivartana yokka utpannaanni prachurinchaadu, idhi sambhaavyata parirakshana yokka saadhaarana avasaramlo, spin nuu soochinche gaze parivartana nundi utpannamavutundi. eee spin-aadhaarita parivartana anedi quantum sambhaavyata yokka vidhi.
quantum potential thoo ii. pii. quantum mechanics anedi schwarzian utpannam.
vaerae vidhaanamlo, equivalence principle (ipi) aadhaaramgaa roopondinchina ipi quantum mechanics, quantum potential ilaa vraayabadutundihi
ikkada suutram _ 67 anedi schwarzian utpannam, antey suutram _ 68. ayithe, idhi samanamga unde sandarbhaallo kooda
idhi ii dwara nokki cheppabadindi. faraagi mariyu emm. idhi saadhaarana quantum potential kii anugunamgaa ledani, vaari vidhana suutramloe _ 70 anedi shroadinger sameekaranaaniki parishkaram, conny taranga functionku anugunamgaa undadu. dheenini marintagaa parisoedhimchaaru.aarr. shaastreeya parimiti suutram _ 15 kosam floyd, alaage robbert caroll dwara.
clifford algibras paramgaa punahvyakhyanamu.
bii. hayley mariyu aarr. ii. kalighan clifford beejaganitam yokka chatramlo boam namuunaa yokka paatranu mariyu quantum sambhaavyata yokka daani bhavananu tirigi ardham chesukunnadu, antariksha kaala beejaganitampai david hestenla panini kaligi unna iteevali purogatini parigananaloki teesukunnadu. clifford algibras formula _ 72 yokka samuuha sopanakramamlo, prati clifford beejaganitaaniki kaneesa edama aadarsha suutram _ 73 yokka moolakam mariyu daani clifford samyoga suutram _ 74 nuu soochinche kudi aadarsam yokka muulakaanni elaa nirminchavachho avi chuuputaayi, mariyu daani nundi "clifford saandrata moolakam" (cde) suutram _ 75, clifford beejaganitamloni oka moolakam, idhi praamaanika saandrata maatrikaku isomorphic conny edainaa nirdishta praatinidhyaaniki swatantramgaa untundi. eee praatipadikana, vyavastha yokka lakshanaalanu soochinche dvimukha asthiratalanu yerparuchukovacchu. hilly mariyu kallaghan modati rakaniki chendina dwiparshwa asthiratalanu vaeru chestaayi, veetilo prati okkati beejaganitamloni moolakam suutram _ 76 yokka anchanaa viluvanu suuchistumdi, idhi suutram _ 77 gaa yerpadavachhu, mariyu rendava rakaniki chendina dwiparshwa asthiraalu utpannaalato nirminchabadi, momentum mariyu saktini suuchistaayi. eee padaalanu upayoginchi, avi taranga function paramgaa oka nirdishta praatinidhyampai aadharapadakunda ledhaa bahya hilbert sthalaaniki suuchana avasaram lekunda quantum mechanics phalitaalanu punarnirmistaayi. munupati phalitaalaku anugunamgaa, spin (pauli kanamu) thoo sambandham laeni kanamu yokka quantum sambhaavyata adanapu spin-aadhaarita padaanni kaligi unnatlu choopabadindi, mariyu spin (diarock kanamu) thoo saapeksha kanamu yokka momentum oka sarala kadalika mariyu bhramana bhaagamlo unnatlu choopabadindi. samaya parinaamaanni niyantrinche rendu dynamic sameekaranaalu parirakshana sameekaranalugaa tirigi ardham chesukobadatayi. vaatilo okati shakti parirakshananu suuchistumdi; marokati sambhaavyata mariyu spin parirakshananu suuchistumdi. quantum sambhaavyata anedi mottam saktini parirakshinche antargata shakti paatranu poeshistumdi.
saapeksha mariyu kshetra-siddhaanta podigimpulu.
quantum sambhaavyata mariyu saapekshata.
kriyaaseela samacharam" yokka prasaram kaanti vegam kante ekkuvagaa undataaniki anumatinchabadithe, mariyu eee parimiti kesu quantum siddhaantam mariyu saapekshata rendintikee ujjaayimpulanu istundi, ayithe, quantum siddhaantam yokka sthaanarahitatanu puurtigaa sthaanika siddhaantam yokka parimiti kesugaa ardham chesukogalamani boam mariyu hilly pradarsinchaaru.
quantum potential vidhananni hilly mariyu sahodyogulu minkovsky antariksha kaalamlooni quantum feeled siddhaantam mariyu vakra antariksha kaalaaniki vistarinchaaru.
kaarlo castro mariyu georg mahecha hamilton-jacobi sameekaranam nundi konasagimpu sameekaranamtho kalipi shroadinger sameekaranaanni pondaaru, mariyu samishti saandrata paramgaa saapeksha boam quantum sambhaavyata yokka lakshanaalanu sthalam yokka wheel lakshanaala dwara vivarinchavacchani chuupimchaaru. reeman chadunaina pradaesamloe, boam sambhaavyata wheel vakrataku samanamga choopabadindi. castro mariyu mahecha prakaram, saapeksha sandarbhamlo, quantum sambhaavyata (dii 'alembert operator suutram _ 78 mariyu sangnaamaana suutram _ 79 nuu upayoginchi) eee roopaanni teesukuntundi.
mariyu saapeksha quantum sambhaavyata dwara prayoginchabade quantum shakti wheel gaze sambhaavyata mariyu daani utpannaalapai aadharapadi untundani choopabadindi. inca, boam yokka sambhaavyata mariyu chadunaina antariksha samayamlo wheel vakrata madhya sambandham sanklishtamaina vegaanni pravesapettina taruvaata matsyakaarula samacharam mariyu wheel jyaamiti madhya idhe vidhamaina sambandhaaniki anugunamgaa untundi.
diago ell. marovaipu, rapoport saapeksha quantum sambhaavyatanu metrik scalar vakrata (reeman vakrata) thoo anubandhistundi.
dravyarashi mariyu charge kaligina kanaaniki clain-garden sameekaranaaniki sambandhinchi, peater r. halland thana 1993 pustakamlo 'quantum potential lanty padam' gurinchi anulomaanupaata suutram _ 81 gurinchi matladadu. ayithe clain-garden siddhaantaaniki pathaala paramgaa oke-kanam vivarananu ivvadam, saapekshata laeni scroadinger quantum mechanics kosam cheyagaliginatlugaa, aamodayogyam kaani asthiratalaku daariteestundani ayana nokki chepparu. udaaharanaku, clain-garden ledhaa diarock sameekaranaaniki parishkaaraalaina taranga vidhula suutram _ 82 nuu quantum mechanics yokka saadhaarana suutraalaku anugunamgaa icchina valume suutram _ 83 vadda icchina valume suutram _ 84 loe kanugonabadataaniki sambhaavyata vyaptiga ardham chesukolemu, adevidhamgaa kaarana vivaranalo aaa samayamlo kanamu aaa valuemlo undataaniki sambhaavyatagaa ardham chesukolemu. configuration space quantum feeled siddhaantam yokka vivarananu anumatinche hermician position operatornu nirnayinchadaaniki prayatnaalu jarugutunnappatiki, mukhyamgaa neuton-wigner localization vidhananni upayoginchi, saapeksha kolata siddhaantam paramgaa ledhaa patham vivarana paramgaa sthaanam yokka anubhavika nirdhaaranaku avakaasaalatoe etuvanti sambandham ippativaraku sthaapinchabadaledani halland etthi chuupaaru. ayinappatikee halland prakaram, dheeni ardham, saapeksha quantum mechanics yokka parigananala nundi patham bhavananu vismarinchaalani kaadu.
quantum potential vyakteekaranagaa suutram _ 85 nuu hravoje nicolic udbhavinchaadu, mariyu athanu aneka-kana taranga vidhula yokka bohmian vivarana yokka lorentz-covarient suutreekarananu pratipaadinchaadu. athanu quantum siddhaantam yokka saadhaaraneekarinchina saapeksha-asthira sambhaavyata vivarananu kooda abhivruddhi chesaadu, dheenilo suutram _ 86 ikapai antarikshamlo sambhaavyata saandrata kaadu, conny antariksha-samayamlo sambhaavyata saandrata.
quantum feeled siddhaantamlo quantum sambhaavyata.
kshetra samanvayamu yokka antariksha praatinidhyam nundi praarambhinchi, saapeksha quantum siddhaantam yokka shroadinger chitram yokka kaarana vivarana nirminchabadindi. tatastha, spin 0, maas less feeled formula _ 87 kosam shroadinger chitraanni, formula _ 88 real-valued functionals thoo, dheeniki daariteestundani chuupavachchu
dheenini boam mariyu athani sahodyogulu suupar quantum potential anie pilicharu.
bome namuunaalooni shakti-momentum-sambandhaalanu quantum feeled siddhaantam yokka shakti-momentum tensor nundi neerugaa pondavachani mariyu quantum potential anedi sthaanika shakti-momentum parirakshanaku avasaramaina shakti padam anie tulasi hilly choopinchindi. janta srushti parimitiki samanamga ledhaa anthakante ekkuva saktulu unna kanaalaku, boam yokka namuunaa aneka kanaala siddhaantaanni kaligi undani, idhi janta srushti mariyu vinaasanam prakriyalanu kooda vivaristundani ayana suuchimchaaru.
quantum sambhaavyata yokka vivarana mariyu paeru pettadam.
quantum mechanics yokka pratyaamnaaya vivarananu andinche 1952 naati thana vyaasamlo, boam appatike "quantum-mechanical" sambhaavyata gurinchi matladadu.
boam mariyu tulasi hilly quantum potentialnu "information potential" anie kooda pilustaaru, endukante idhi prakriyala roopaanni prabhaavitam chestundi mariyu paryaavaranam dwara aakaaramlo untundi. boam suuchimchinatlugaa "ooda ledhaa vimanam (daani automatic pailattho) oka" sweeya-kriyaaseela "vyavastha, antey.ii. daaniki daani swantha shakti undhi. conny daani karyakalapala roopam radar taramgaala dwara teesukuvellabade daani paryaavaranaaniki sambandhinchina "samachara vishayam" dwara nirnayinchabadutundi. idhi alala teevrata nundi swatantramgaa untundi. adevidhamgaa quantum potential "kriyaaseela samacharam" kaligi unnatlu manam pariganinchavacchu. idhi pratichota churukuga untundi, conny vaastavaaniki oka kanamu unna chota mariyu unnappudu matrame churukuga untundi."(asalu loe italic).
hayley quantum potentialnu antargata saktigaa mariyu "quantum prakriyalalo matrame paatra poeshinchae kotta naanhyata gala shakti" gaa suuchistumdi. quantum potential anedi prasiddha kinetic energy mariyu (shaastreeya) potential energy pakkana pedithe marinta shakti padam anie, idhi shakti parirakshana avasaranni drushtilo unchukuni tappanisarigaa talette naan lokal energy padam anie ayana vivarinchaaru; quantum potential bhavanaku vyatiraekamgaa bhouthika shaastra samajam yokka pratighatanalo ekkuva bhaagam shakti sthaanikamgaa undaalani saastravettala anchanaala kaaranamgaa undavacchani ayana annaru.
boam kosam quantum sambhaavyata "quantum formalisanku aadharam kaavacchu anae daanipai antardrushtulanu pondadamlo oka keelaka amsam anie hayley nokki chepparu. eee siddhaantam yaantrikamgaa undadani vidhanam yokka eee amsaanni lothugaa vislaeshimchadam dwara boam oppinchaadu. badulugaa, idhi white head anae ardhamlo sendreeyamainadi. antey, vyaktigata kanaala lakshanaalanu mariyu vaati sambandhaanni nirnayinchedi mottam, maroe vidhamgaa kaadu."
peater aarr. halland, thana samagra paatyapustakamlo, dheenini "quantum potential energy" gaa kooda paerkonnaadu. quantum sambhaavyatanu boam paerutoe kalisi "boam sambhaavyata", "quantum boam sambhaavyata" ledhaa "boam quantum sambhaavyata" anie kooda suuchistaaru.
applications.
scroadinger sameekaranaanni spashtamgaa parishkarinchaalsina avasaram lekunda quantum prabhavalanu namuunaa cheyadaaniki quantum sambhaavya vidhananni upayoginchavacchu mariyu dheenini hydrodynamic mariyu drift diffusion sameekaranaalanu upayoginchi maante kaarlo anukaranalu vanti anukaranalalo ekikrutam cheyavachu. idhi pathaala yokka "hydrodynamic" ganana roopamlo jarugutundihi prati "dravam moolakam" vadda saandrata nundi praarambhinchi, prati "dravam moolakam" yokka tvaranam suutram _ 90 mariyu suutram _ 14 yokka pravanata nundi lekkinchabadutundi, mariyu vegam kshetram yokka phalitamgaa vachhe vichalanam saandrataku maarpunu nirnayistundi.
bohmian pathaalu mariyu quantum potentialnu upayoginche vidhanam quantum vyavasthala lakshanaalanu lekkinchadaaniki upayoginchabadutundi, veetini khachitamgaa parishkarinchalemu, ivi tarachugaa pakshika-shaastreeya vidhaanaalanu upayoginchi anchanaa vaeyabadataayi. sagatu taranga functionla nundi vachhe shaastreeya kadalika phalitaala sambhaavyatanu sagatu kshetram sameepistundagaa, eee vidhaanaaniki taranga functionla samagra ganana avasaram ledhu.
shaastreeya mariyu quantum saktula prabhaavamtho utpannamayye pathaala samuuhaalanu ganinchadaaniki quantum shakti yokka vyakteekarana, biasian ganaanka vislaeshanha mariyu nireekshana-garishteekarana paddhathulatho kalisi upayoginchabadindi.

