منابع مشابه
Supersymmetric quantum mechanical generalized MIC-Kepler system
We construct supersymmetric(SUSY) generalized MIC-Kepler system and show that the systems with half integral Dirac quantization condition μ = ± 1 2 ,± 3 2 ,± 5 2 , ..... belong to a SUSY family (hierarchy of Hamiltonian) with same spectrum between the respective partner Hamiltonians except for the ground state. Similarly, the systems with integral Dirac quantization condition μ = ±1,±2,±3, .......
متن کاملSelf-Adjointness of Generalized MIC-Kepler System
We have studied the self-adjointness of generalized MIC-Kepler Hamiltonian, obtained from the formally self-adjoint generalized MIC-Kepler Hamiltonian. We have shown that for l̃ = 0, the system admits an 1-parameter family of self-adjoint extension and for l̃ 6= 0 but l̃ < 1 2 , it has also an 1parameter family of self-adjoint extension.
متن کاملNon-Commutative Corrections to the MIC-Kepler Hamiltonian
Non-commutative corrections to the MIC-Kepler System (i.e. hydrogen atom in the presence of a magnetic monopole) are computed in Cartesian and parabolic coordinates. Despite the fact that there is no simple analytic expression for non-commutative perturbative corrections to the MICKepler spectrum, there is a term that gives rise to the linear Stark effect which didn’t exist in the standard hydr...
متن کاملGeneralized Kepler Problems
A generalization of the Kepler problem, one that encompasses all previously known generalizations in the last six decades, is given here. Introduction. The Kepler problem, owing to its significant role in the major developments of physics in the last three centuries, is probably the most wellknown scientific problem in the western civilization. It has been known for quite a while that the Keple...
متن کاملOn a Generalized Kepler-Coulomb System: Interbasis Expansions
This paper deals with a dynamical system that generalizes the Kepler-Coulomb system and the Hartmann system. It is shown that the Schrödinger equation for this generalized KeplerCoulomb system can be separated in prolate spheroidal coordinates. The coefficients of the interbasis expansions between three bases (spherical, parabolic and spheroidal) are studied in detail. It is found that the coef...
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ژورنال
عنوان ژورنال: Journal of Mathematical Physics
سال: 2003
ISSN: 0022-2488,1089-7658
DOI: 10.1063/1.1619205