Shape invariance approach to exact solutions of the Klein-Gordon equation
arXiv:quant-ph/0609115 · doi:10.1016/j.physleta.2006.09.032
Abstract
Using the shape invariance property we obtain exact solutions of the (1+1)dimensional Klein-Gordon equation for certain types of scalar and vector potentials. We also discuss the possibility of obtaining real energy spectrum with non-Hermitian interaction within this framework.
References in corpus (6)
- Real Spectra in Non-Hermitian Hamiltonians Having PT Symmetry
- Dirac and Klein-Gordon equations with equal scalar and vector potentials
- PT -symmetric harmonic oscillators
- Pseudo-Hermiticity of Hamiltonians under imaginary shift of the co-ordinate : real spectrum of complex potentials
- Klein-Gordon particles in mixed vector-scalar inversely linear potentials
- Pseudo-Hermitian approach to energy-dependent Klein-Gordon models
Cited by in corpus (5)
- Exact solution of the Klein Gordon equation in the presence of a minimal length
- Quadratic Algebra Approach to Relativistic Quantum Smorodinsky-Winternitz Systems
- Algebraic approach for shape invariant potentials in Klein-Gordon equation
- Klein-Gordon equation for a charged particle in space varying electromagnetic fields-A systematic study via Laplace transform
- Dynamics of Majorana fermions in two-dimensions