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OALib Journal期刊
ISSN: 2333-9721
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反常玻色产生算符的本征右矢
, PP. 135-140
Keywords: 围道积分
Abstract:
鉴于反常玻色系统在相对论协变的零质量的矢量场中的重要地位和作用,利用Dirac函数的围道积分形式及其性质,并借助反常玻色系统粒子数表象的完备性特点,重点推导出了反常玻色产生算符的本征右矢具体的广义解形式,并在此基础上,寻找到与之对应的两组由非共轭反常玻色量子态矢构成的正交完备性关系,进一步发现此正交完备性关系并不与反常玻色系统中常出现的度规算符相关.最后,作为上述结论的应用,还推导出了量子力学和量子光学中经常出现的两个多项式（即Hermite多项式和Laguerre多项式）的围道积分下的表示式,该表示形式具有普适性,可能对于解决有关以上两个多项式的量子光学问题提供帮助.
| [1] | Klauder J R.Phys[J].Rve,1963,131(6):2766-2788
|
| [2] | van Enk S J ,Hirota O.Phys[J].Rev. A,2001,64(2):022313-
|
| [3] | Cheong Y W, Kim H, Lee H W.Phys[J].Rev. A,2004,70(3):032327-
|
| [4] | Sanders B C.[J].Bartlett S D. Phys. Rev. A,2003,:-
|
| [5] | Gerrits T, Glancy S, Clement T S et al.. Phys[J].Rev. A,2010,82(3):031802-
|
| [6] | Loock P V, Lütkenhaus N, Munro W J, et al.. Phys[J].Rev. A,2008,78(6):062319-
|
| [7] | Viola L , Ramanathan C.Phys[J].Rev. A,2011,83(3):032304-
|
| [8] | Heid M, Lütkenhaus N.Phys[J].Rev. A,2007,76(2):022313-
|
| [9] | Davydov A S. Quantum Mechanics(2nd ed). Oxford:Pergamon Press, 197
|
| [10] | Heitler W. The Quantum Theory of Radiation(3rd ed). London:Oxford Claredon Press,195
|
| [11] | Fan H Y, Xiao M.Phys[J].Rev. A,1996,54(6):5295-5298
|
| [12] | Xu Y J, Jun S, Fan H Y, et al... J[J].Math. Phys,2010,51(9):092107-
|
| [13] | Fan H Y, Wünsche A.Eur[J].Phys. J. D,2001,15(3):405-412
|
| [14] | Fan H Y, Yu G C.J. Phys[J].A: Math. Gen,2001,34(31):6217-
|
| [15] | Fan H Y, Xiao M.Phy[J].Lett. A,1996,219(3–4):175-179
|
| [16] | Xu X F.Chin[J].J. Quan. Electuro,2006,23(6):06080605-
|
| [17] | Bie H D, Hermite F S.J. Phys[J].A: Math. Theor,2007,40(34):10441-
|
| [18] | Odakea S, Sasakib R.Phys[J].Lett. B,2008,663(1–2):141-145
|
| [19] | Meng X G, Wang J S, Li Y L.Chin[J].Phys,2007,16(8):2415-
|
| [20] | Thirulogasanthar K, Honnouvo G, Krzy?ak A.J. Phys[J].A: Math. Theor,2010,43(38):385205-
|
| [21] | Cotfas N, Gazeau J P, Katarzyna Górska.J. Phys[J].A: Math.Theor,2010,43(30):305304-
|
| [22] | Kasraoui A, Stanton D, Zenga J.Adv[J].Appl. Math,2011,47(2):216-239
|
| [23] | Ho C L.Ann[J].Phys,2011,326(4):797-807
|
| [24] | David G U, Kamranb N, Milsonc R.J. Math[J].Anal. Appl,2012,387(1):410-418
|
| [25] | Sasaki R, Tsujimoto S , Zhedanov A.J. Phys[J].A: Math. Theor,2010,43(31):315204-
|
| [26] | Odake S, Sasaki R.J. Math[J].Phys,2010,51(05):053513-
|
| [27] | Odakea S, Sasakib R.Phy[J].Lett. B,2010,684(2–3):173-176
|
| [28] | Klauder J R.[J].Skagerstam B S. Singapore:Word Scientific Publish-ing Co,1985,:-
|
| [29] | Klauder J R.[J].PhysRve,1963,130(6):2529-2539
|
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