Dirac and Klein-Gordon particles in complex Coulombic fields; a similarity transformation

Abstract

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

REVTEX file, 12 pages, 2 ps figures

References in corpus (7)

• Pseudo-Hermiticity versus PT Symmetry: The necessary condition for the reality of the spectrum of a non-Hermitian Hamiltonian
• Spectral equivalences, Bethe Ansatz equations, and reality properties in PT-symmetric quantum mechanics
• Supersymmetry and the spontaneous breakdown of PT symmetry
• Space of State Vectors in PT Symmetrical Quantum Mechanics
• Generating Converging Bounds to the (Complex) Discrete States of the $P^2+i{X}^3+i\alpha X$ Hamiltonian
• PT symmetric pseudo-perturbation recipe; an imaginary cubic oscillator with spikes
• Asymptotic solvability of an imaginary cubic oscillator with spikes

Cited by in corpus (12)

• Bound states of the Dirac equation for the PT-symmetric generalized Hulthen potential by the Nikiforov-Uvarov method
• (1+1)-Dirac particle with position-dependent mass in complexified Lorentz scalar interactions: effectively PT-symmetric
• Non-Hermitian d-dimensional Hamiltonians with position dependent mass and their $\eta$-pseudo-Hermiticity generators
• $\eta$-weak-Pseudo-Hermiticity generators and exact solvability
• Analytical solutions of the Klein-Fock-Gordon equation with the Manning-Rosen potential plus a Ring-Shaped like potential
• Real spectra for non-Hermitian Dirac equation in 1+1 dimensions with a most general coupling
• Energy-levels crossing and radial Dirac equation: Supersymmetry and quasi-parity spectral signatures
• Asymptotically vanishing PT-symmetric potentials and negative-mass Schroedinger equations
• Perturbed Coulombic potentials in Dirac and Klein-Gordon equations
• Deconstructing non-dissipative non-Dirac-hermitian relativistic quantum systems
• Non-Hermitian Hamiltonian versus E=0 localized states
• $\eta$-weak-pseudo-Hermiticity generators and radially symmetric Hamiltonians