The energy levels for a symmetric and nonsymmetric double-well potential in a two-dimensional system using the Hill determinant approach

摘要

Energy levels of the Schrödinger equation for a double-well potentialV(x, y; Zx2, Zy2,λ) = −Zx2x2-Zy2y2+λaxxx4+ 2axyx2y2 +ayyy4 in a two-dimensional system are calculated using the Hill determinant approach for several eigenstates and over a wide range of values of the perturbation parameters (λ, Zx2,Zy2). Some of the results calculated by the Hill determinant approach are compared with those results produced by the inner product tech