Shift operators for a Dirac oscillator - Concepedia

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Shift operators for a Dirac oscillator

31

Citations

7

References

1991

Year

Journal of Mathematical Physics

Spectral TheoryLinear OperatorEnergy EigenvaluesEngineeringSpectral AnalysisDirac OscillatorDirac OperatorFunctional AnalysisShift OperatorsIntegral Transform

Abstract

Shift operators are obtained for a Dirac oscillator. These operators and other algebraic methods are used to determine energy eigenvalues and eigenkets, expectation values, matrix elements, and coordinate-space wave functions.

References

	Year	Citations
Forces in Molecules Richard P. Feynman Physical Review EngineeringMolecular SystemComputational ChemistryChemistryMolecular Dynamics	1939	3.7K
The Dirac oscillator M. Moshińsky, Adam P. Szczepaniak Journal of Physics A Mathematical and General Spectral TheoryQuantum ScienceEngineeringPhysicsSymmetry (Physics)	1989	699
Solution and hidden supersymmetry of a Dirac oscillator J. Ben�tez, R. P. Martnez y Romero, H. N. Núez-Yépez, Physical Review Letters Spectral TheoryEngineeringSupergravityPhysicsTopological Soliton	1990	201
Covariance, CPT and the Foldy-Wouthuysen transformation for the Dirac oscillator M. Moreno, Arturo Zentella Journal of Physics A Mathematical and General Spectral TheoryEngineeringPhysicsTwistor TheoryNatural Sciences	1989	152
Some Applications of Hypervirial Theorems to the Calculation of Average Values Jean H. Epstein, Saul T. Epstein American Journal of Physics Mathematical ProgrammingNonrelativistic Hydrogenic AtomEngineeringPhysicsIsotropic Harmonic Oscillator	1962	84
Hellmann-Feynman Theorems in Classical and Quantum Mechanics William A. McKinley American Journal of Physics Spectral TheoryQuantum ScienceHamiltonian TheoryEngineeringQuantum Derivative Relations	1971	21
An operator analysis for the Schrödinger, Klein–Gordon, and Dirac equations with a Coulomb potential O. L. de Lange Journal of Mathematical Physics Spectral TheoryCoulomb PotentialEngineeringResolvent KernelPotential Theory	1989	13

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