Chinese phrase for a physician's "residency program"?
Google translates "residency" as "住院醫師" (doctor who live/stay in the hospital ) . I think 駐院醫師 (stationing doctor) is more accurate

住院 could mean 留醫 (hospitalized; hospitalization)


  "residency program" for physicians go through after graduation from medical school


The physicians in the program are basically 實習醫師 (intern doctors). 

I would translate "residency" as "駐院醫師" and "residency program" as "實習醫師駐院計劃" (intern doctor hospital stationing program)