Solution of Schr(o)dinger Equation for Two-Dimensional Complex Quartic Potentials

• 来源期刊: 理论物理通讯（英文版）
• 年，卷（期）: 2009,（3）
• 页码范围: 397-406
• 页数: 10页
• 语种: 英文

摘要

We investigate the quasi-exact solutions of the Schrodinger wave equation for two-dimensional non-hermitian complex Hamiltonian systems within the frame work of an extended complex phase space characterized by x = x1 + ip3, y = x2 +iP4, px=p1+ix3, py = p2 +ix4. Explicit expressions of the energy eigenvalues and the eigenfunctions for ground and first excited states for a complex quartic potential are obtained. Eigenvalue spectra of some variants of the complex quartic potential, including PT-symmunetric one, axe also worked out.