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Potentials for the Klein-Gordon and Dirac equations. (English) Zbl 1236.35129

Summary: A few solvable potentials for the Klein-Gordon equation are evaluated by using various standard second order differential equations. Some solvable potentials for the Dirac equation are also discussed.

MSC:

35Q40 PDEs in connection with quantum mechanics
35Q41 Time-dependent Schrödinger equations and Dirac equations
81Q05 Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics