This paper deals with the solutions of time independent Schrodinger wave equation for a two-dimensionalVT-symmetric coupled quintic potential in its most general form.Employing wavefunction ansatz method,generalanalyt...This paper deals with the solutions of time independent Schrodinger wave equation for a two-dimensionalVT-symmetric coupled quintic potential in its most general form.Employing wavefunction ansatz method,generalanalytic expressions for eigenvalues and eigenfunctions for first four states are obtained.Solutions of a particular caseare also presented.展开更多
A PT-symmetric Hamiltonian associated with a trigonometric Razhavi potential is analyzed. Along the same lines of the general quasi-exactly solvable analytic method considered in the [1] [2] [3], three necessary and s...A PT-symmetric Hamiltonian associated with a trigonometric Razhavi potential is analyzed. Along the same lines of the general quasi-exactly solvable analytic method considered in the [1] [2] [3], three necessary and sufficient algebraic conditions for this Hamiltonian to have a finite-dimensional invariant vector space are established. This PT-symmetric 2 x 2 -matrix Hamiltonian is called quasi-exactly solvable (QES).展开更多
文摘This paper deals with the solutions of time independent Schrodinger wave equation for a two-dimensionalVT-symmetric coupled quintic potential in its most general form.Employing wavefunction ansatz method,generalanalytic expressions for eigenvalues and eigenfunctions for first four states are obtained.Solutions of a particular caseare also presented.
文摘A PT-symmetric Hamiltonian associated with a trigonometric Razhavi potential is analyzed. Along the same lines of the general quasi-exactly solvable analytic method considered in the [1] [2] [3], three necessary and sufficient algebraic conditions for this Hamiltonian to have a finite-dimensional invariant vector space are established. This PT-symmetric 2 x 2 -matrix Hamiltonian is called quasi-exactly solvable (QES).