Algebraic approach to non-separable two-dimensional Schrodinger equation: Ground states for polynomial and Morse-like potentials

作者：Tichy Vladimir^*; Skala Lubomir; Hudec Rene

来源：Central European Journal of Physics, 2014, 12(10): 730-736.

DOI：10.2478/s11534-014-0484-5

• algebraic methods
• analytical methods
• quantum mechanics

This paper presents a direct algebraic method of searching for analytic solutions of the two-dimensional time-independent Schrodinger equation that is impossible to separate into two one-dimensional ones. As examples, two-dimensional polynomial and Morse-like potentials are discussed. Analytic formulas for the ground state wave functions and the corresponding energies are presented. These results cannot be obtained by another known method.

• 出版日期2014-10