Quantum theory of a double-well potential: Energy levels for symmetric and nonsymmetric double-well potentials in a three-dimensional system

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:75

Article

Witwit, MRM

关键词: Schrodinger equation;    double-well potential;    numerical results and discussion;   

DOI  :  10.1016/S0377-0427(96)00049-0

来源: Elsevier

【 摘 要 】

Energy eigenvalues are obtained for a double-well potential V(x, y, z; Z(x)(2), Z(y)(2), Z(z)(2), lambda) = -1/2[Z(x)(2)x(2) + Z(y)(2)y(2) + Z(z)(2)z(2)] + lambda[a(xx)x(4) + a(yy)y(4) + a(zz)z(4) + 2a(xy)x(2)y(2) + 2a(xz)x(2)z(2) + 2a(yz)y(2)z(2)], in a three-dimensional system, using matrix diagonalization, for various values of parameters Z(x)(2), Z(y)(2), Z(z)(2), lambda and several energy levels E(nx,ny,nz). Comparison is made with results obtained by other means.

【 授权许可】

Free