Solutions of the Klein-Gordon equation in an infinite square-well potential with a moving wall

Solutions of the Klein-Gordon equation in an infinite square-well potential with a moving wall

Introduction. – The non-relativistic system of a onedimensional infinite square well with a massive particle evolving according to the Schrödinger equation is one of the most elementary quantum mechanical systems, and it often serves as an approximation to more complex physical systems. If, however, the potential walls are allowed to move, as originally in the Fermi-Ulam model for the accelerat...

WAVELET SOLUTIONS OF THE KLEIN-GORDON EQUATION

Berry phase for a particle in an infinite spherical potential well with moving wall

In this paper we calculate the Berry phase for a wave function of a particle in an infinite spherical potential well with adiabatically varying. In order to do this, we need the solutions of the corresponding Schrödinger equation with a time dependent Hamiltonian. Here, we obtain these solutions for the first time. In addition, we calculate the Berry phase in one dimensional case for an infinit...

Analytical solutions for the fractional Klein-Gordon equation

In this paper, we solve a inhomogeneous fractional Klein-Gordon equation by the method of separating variables. We apply the method for three boundary conditions, contain Dirichlet, Neumann, and Robin boundary conditions, and solve some examples to illustrate the effectiveness of the method.

wavelet solutions of the klein-gordon equation

0