vyaapti monte kaarlo

diffusion maante kaarlo (dmc) ledhaa diffusion quantum monte kaarlo anedi quantum maante kaarlo paddhati, idhi shroadinger sameekaranaanni parishkarinchadaaniki aakupaccha functionnu upayogistundi. dmc sankhyaaparamgaa khachitamainadi, antey idhi edainaa quantum vyavasthaku icchina lopam lopala khachitamaina ground state energini kanugonagaladu. vaastavaaniki ganananu prayatninchinappudu, bosanla kosam, algorithm system parimaanamtho bahupadigaa scale chestundi, conny fermianla kosam, system parimaanamtho ghatankamga dmc scales. idhi fermiansku khachitamaina pedda-sthaayi dmc anukaranalanu asadhyamga chestundi; ayithe, fixed-node ujjaayimpu anie piluvabade telivaina ujjaayimpunu upayoginche dmc ippatikee chaalaa khachitamaina phalitaalanu istundi.
projector paddhati.
algorithamnu prerepinchadaaniki, oka konamlo kontha sambhaavyatalo unna kanaaniki shroadinger sameekaranaanni chuddam 
operator" sameekaranam paramgaa vrayadam dwara manam sangnaamaanaanni konchem ghaneebhavinchavachhu, 
appudu manaku 
ikkada suutram _ 4 oka operator anie manam gurthunchukovali, saadhaarana sankhya ledhaa function kaadu. aigen functionlu anie piluvabade pratyeka vidhulu unnaayi, dheeni kosam suutram _ 5, ikkada suutram _ 6 oka sankhya. eee vidhulu pratyekamainavi endukante taranga functionpy suutram _ 4 operator yokka charyanu manam ekkada moolyaankanam chesina, manaku ellappuduu adhe sankhya suutram _ 6 labhistundi. eee vidhulanu sthira sthithulu antaaru, endukante yea binduvu suutram _ 9 vadda samaya utpannam ellappuduu okate, kabatti taranga function yokka vyaapti eppuduu samayaniki maaradu. taranga function yokka mottam dasanu kolavalemu kabatti, vyavastha kalakramena maaradu.
manaku saadhaaranamgaa athi takkuva shakti aigen viluva, ground state thoo taranga paniteerupai aasakti untundi. manamu adhe shakti aigen viluvanu kaligi unde shroadinger sameekaranam yokka konchem bhinnamaina samskarananu vraayabotunnaamu, conny, aasiletareegaa undataaniki badulugaa, idhi convergentga untundi. ikkada adhih
manamu time derivative nundi imaginary sankhyanu teesivesi, formula _ 11 yokka sthiramaina offsetlo jodinchamu, idhi ground state energy. manaku vaastavaaniki ground state energy teliyadu, conny daanini sweeya-sthiramgaa nirnayinchadaaniki oka maargam untundi, daanini manam taruvaata parichayam chestaamu. mana savarinchina sameekaranam (kontamandi dheenini oohaatmaka-samaya scroadinger sameekaranam anie pilustaaru) konni manchi lakshanaalanu kaligi undhi. gamaninchavalasina modati vishayam emitante, ground state wave functionnu oohinchinatlayithe, suutram _ 12 mariyu time derivative sunna avutundi. ippudu manam maroka taranga function (suutram _ 13) thoo praarambhinchaamu anukundam, idhi ground state kaadu conny daaniki orthogonal kaadu. appudu manam daanini aigen functionla yokka sarala mottamgaa vraayavachuhu
idhi leanier differential equation kabatti, manam prati bhaagam yokka charyanu vidigaa chudavachu. suutram _ 15 sthiramgaa undani memu ippatike nirnayinchaamu. suutram _ _ teesukuntamani anukundam. suutram _ 15 anedi atyalpa-shakti aigen function kabatti, suutram _ 16 yokka anubandha aigen value property suutram _ _ santruptiparustundi. anduvalla suutram _ 20 yokka samaya utpannam pratikuulamgaa untundi, chivariki sunnaki velutundi, manaki ground state matrame migilipotundi. eee pariseelana suutram _ 11 nii nirnayinchadaaniki kooda oka marganni istundi. manam kalakramena vyaapti chendutunnappudu taranga function yokka vaisaalyaanni chustamu. adhi perigithe, offset shakti yokka anchanaanu tagginchandi. amplitude taggithe, offset energy anchanaanu penchandi.
yaadruchchika amalu.
ippudu manaku oka sameekaranam undhi, manam daanini samayaniki munduku pracharam chesi, suutram _ _ tagina vidhamgaa sardubaatu chestunnappudu, manaku kanugonavacchu
edainaa hamiltonian yokka ground state. idhi ippatikee shaastreeya yantrasaastram kante kashtataramaina samasya, ayithe, badulugaa 
kanaala yokka oke sthaanaalanu pracharam chestu, manam mottam vidhulanu pracharam cheyali. shaastreeya yantrasaastramlo, manam anukarinchagalamu
suutram _ _ amarchadam dwara kanaala kadalika, suutram _ 24 yokka kaala vyavadhilo shakti sthiramgaa undani manam bhaavisthe. oohaatmaka samayam shroadinger sameekaranam kosam, badulugaa, green function anie piluvabade pratyeka functiontho convolution integralnu upayoginchi samayaniki munduku pracharam chestaamu. kabatti manaku suutram _ 25 labhistundi. adevidhamgaa shaastreeya yantrasaastram, manam chinna chinna mukkala samayam kosam matrame pracharam cheyagalam; lekapothe aakupaccha yokka function sarikaadu. kanaala sankhya perige koddi, samagrata yokka parimaanam kooda perugutundi, endukante manam anni kanaala yokka anni akshaamsaalapai ekikrutam cheyali. maante kaarlo integration dwara manam eee integrallanu cheyavachu.

