Non-relativistic Coulomb problem in a one-dimensional quantum mechanics
V Lutsenko; L G Mardoyan; G S Pogosyan; A N Sissakian; V M Ter-Antonyan; V Lutsenko; Lab. of Theor. Phys., JINR, Moscow, USSR; L G Mardoyan; Lab. of Theor. Phys., JINR, Moscow, USSR; G S Pogosyan; Lab. of Theor. Phys., JINR, Moscow, USSR; A N Sissakian; Lab. of Theor. Phys., JINR, Moscow, USSR; V M Ter-Antonyan; Lab. of Theor. Phys., JINR, Moscow, USSR
Журнал:
Journal of Physics A: Mathematical and General
Дата:
1989-07-21
Аннотация:
It is shown that, unlike the model based only on the potential singularity U(x)=- mod x mod <sup>-1</sup>, the group of hidden symmetry explains not only the double degeneration of the energy spectrum but also the explicit form of the spectrum, wavefunctions and an extra constant of motion analogous to the Runge-Lenz vector.
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