WKB method for the Dirac equation with vector and scalar potentials
نویسندگان
چکیده
منابع مشابه
The Dirac and Klein-Gordon equations with equal scalar and vector potentials
We study the three-dimensional Dirac and Klein-Gordon equations with scalar and vector potentials of equal amplitudes as an attempt to present a critique for the interpretation of this class of problems which has recently been accumulating interest. We consider a large class of these problems in which the potentials are noncentral (angulardependent) such that the equations separate completely i...
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Higher order symmetry operators for the wave equation with scalar and vector potentials are investigated. All scalar potentials which admit second order symmetry operators are found explicitly. Symmetries of partial differential equations are used for separation of variables [1], description of conservation laws [2], construction of exact solutions [3], etc. Before can be applied, symmetries ha...
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The Dirac equation plays a key role in microscopic descriptions of many-fermion systems, employing covariant density functional theory and the relativistic mean-field approach. In application to nuclei and hadrons, the required Dirac mean-field Hamiltonian involves a mixture of Lorentz vector and scalar potentials. Recently, symmetries of Dirac Hamiltonians with such Lorentz structure were show...
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The potential concept that is successful in classical electrodynamics should also be applicable to the nonlinear electromagnetic forces acting on matter. The obvious method of determining these potentials should be provided by Helmholtz’s theorem. It is found, however, that the theorem fails in most practical instances. Other methods to find the potentials – as pursued in plasma physics – are e...
متن کاملDirac operators coupled to vector potentials.
Characteristic classes for the index of the Dirac family [unk](A) are computed in terms of differential forms on the orbit space of vector potentials under gauge transformations. They represent obstructions to the existence of a covariant Dirac propagator. The first obstruction is related to a chiral anomaly.
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ژورنال
عنوان ژورنال: Journal of Physical Studies
سال: 2005
ISSN: 1027-4642,2310-0052
DOI: 10.30970/jps.09.1