Effective potential for spin-boson systems and quasi-exactly solvable problems

作者: O.B. Zaslavskii

DOI: 10.1016/0375-9601(90)90894-T

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摘要: Abstract The correspondence between quasi-exactly solvable problems and the Dicke Heisenberg type models has been established. It is shown that isotropic model with two interacting spins can be described by Poschl-Teller potential.

参考文章(9)
O. B. Zaslavskii, V. V. Ul'yanov, Periodic effective potentials for spin systems and new exact solutions of the one-dimensional Schrödinger equation for the energy bands Theoretical and Mathematical Physics. ,vol. 71, pp. 520- 528 ,(1987) , 10.1007/BF01028652
M. Razavy, A potential model for torsional vibrations of molecules Physics Letters A. ,vol. 82, pp. 7- 9 ,(1981) , 10.1016/0375-9601(81)90386-8
W. Heitler, F. London, Wechselwirkung neutraler Atome und homöopolare Bindung nach der Quantenmechanik European Physical Journal. ,vol. 44, pp. 455- 472 ,(1927) , 10.1007/BF01397394
M. Razavy, An exactly soluble Schrödinger equation with a bistable potential American Journal of Physics. ,vol. 48, pp. 285- 288 ,(1980) , 10.1119/1.12141
A.V. Turbiner, A.G. Ushveridze, Spectral singularities and quasi-exactly solvable quantal problem Physics Letters A. ,vol. 126, pp. 181- 183 ,(1987) , 10.1016/0375-9601(87)90456-7
R. H. Dicke, Coherence in Spontaneous Radiation Processes Physical Review. ,vol. 93, pp. 99- 110 ,(1954) , 10.1103/PHYSREV.93.99
A. V. Turbiner, Quasi-exactly-solvable problems and sl(2) algebra Communications in Mathematical Physics. ,vol. 118, pp. 467- 474 ,(1988) , 10.1007/BF01466727
O.B. Zaslavskii, Spin tunneling and the effective potential method Physics Letters A. ,vol. 145, pp. 471- 475 ,(1990) , 10.1016/0375-9601(90)90317-H
G Scharf, Time evolution of a quantum mechanical maser model Annals of Physics. ,vol. 83, pp. 71- 102 ,(1974) , 10.1016/0003-4916(74)90378-9