有限維Hilbert空間q-相干態(tài)的量子統(tǒng)計性質.pdf

1、內(nèi)蒙古大學碩士學位論文有限維Hilbert空間q相干態(tài)的量子統(tǒng)計性質姓名：張勇申請學位級別：碩士專業(yè)：理論物理指導教師：王維璽2001.6.1Thequantumstatisticalpropertiesoftheqcoherentstatesinafinite——dimensionalHiibertspaceZhangYongDirectedbyprofessor：WangWeixiABSTRACTThisPaDerismadeoft

2、wochapters：InthefirstchaptertheenergylevelstructureanddynamicalpropertiesoftheqdeformedhamlonicoscillatorinafinitedimensionalHilbertspace(FDHSlarestudiedItiSshownthattheenergylevelstructureanddynamicactionareverydifferen

3、tfromthatofusualharmonicoscillatorduetothefinitenessofthedimensionofHilbertsrIaceanddeformationparameter’SinfluenceqCoherentstates(qCSs)inaFDHSareconstructed，andthenonclassicalpropertiesofitsareinvestigatedItisfoundthatq

4、CSsinaFDHSCanexhibithigherordersqueezingandantibanthingeffectandsubpoissondistribution，andwiththedeformationparameterqdeviatefroml_0，allthesebecomestrongerWitIlthedimensionalparameterofspaceincrease，thehigherordersqueezi

5、ngeffeCtbecomestronger，andhigher—orderantibunchingeffeCtandsubpoissondistributionallbecomeweakerInthesecondchapterevenandoddqCSsinaFDHSareconstructed。thentheirorthogonalsqueezingandhigher—orderantibunchingeffeCtareresear

6、chedTheresultsshowthattwokindofCSsallexhibitabovenonclassicaleffectsanddeformationparameterqcanaffecttheseeffects0ddqCSscanshoworthogonalsqueezingandtheintensityaggravateandhigherorderantibunchingeffectweakenwiththedefor

7、mationparameterqdeviatefrom1OEvenqCSsCanexhibittwoeffectstoo，buttheinfluenceofqiSreversetooddqCSsThedimensionalparameterofspaceengenderdifferentinfluencetothesqueezingeffectfromhigherorderantibunchingeffectofevenandoddqC

8、SsTheantibunchingeffectofevenandoddqCSsandthesqueezingeffectofoddqCSsweakenwithincreasingdimensionalparameterSTllesqueezingeffectofevenqCSsaggravatewitllincreasingSKeywords：FDHS：qCSs；squeezingeffect；higherorderantibunchi