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Dirac and Klein–Gordon particles in complex Coulombic fields: a similarity transformation

Omar Mustafa

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The observation that the existence of the amazing reality and discreteness of the spectrum need not necessarily be attributed to the Hermiticity of the Hamiltonian is re-emphasized in the context of the non-Hermitian Dirac and Klein–Gordon Hamiltonians. Complex Coulombic potentials are considered.


PACS

03.65.Pm Relativistic wave equations

03.65.Ge Solutions of wave equations: bound states

MSC

81Q05 Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other quantum-mechanical equations

Subjects

Quantum information and quantum mechanics

Dates

Issue 18 (9 May 2003)

Received 13 January 2003

Published 23 April 2003



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