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Semiclassical aspects and supersymmetry of bound Dirac states for central pseudo-scalar potentials
| Authors: |
Thylwe, K.-E.,
Linnaeus, S.,
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| Type: |
Article |
| Pubstate: |
Published |
| Journal: |
Physica Scripta |
| Volume: |
84
025006 |
| Year: |
2011 |
Abstract
Relativistic bound states for a linear, radial pseudo-scalar potential model are discussed. The two radial Dirac components are known to have a close connection to partner states in super-symmetric quantum mechanical theory. The pseudo-scalar potential plays the role of the ‘super potential’. Hence, the Dirac components satisfy decoupled Schro?dinger-type equations with isospectral, so-called, ‘partner potentials’ except possibly for a single state; the ground state corresponding to one of the partner potentials. The energy spectrum of a confining linear radial potential is discussed in some detail. Accurate amplitude-phase computations and a novel semiclassical (phase-integral) approach are presented.
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