The energy levels for a symmetric and nonsymmetric double-well potential in a two-dimensional system using the Hill determinant approach |
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Authors: | MRM Witwit |
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Institution: | (1) Department of Applied Mathematics, University of Hull, HU6 7RX, UK |
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Abstract: | Energy levels of the Schrödinger equation for a double-well potentialV(x, y; Z
x
2, Zy
2, ) = –Z
x
2
x
2 -Z
y
2
y
2 + a
xx
x
4 + 2a
xy
x
2y2 +a
yy
y
4] 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 ( , Z
x
2,Z
y
2). Some of the results calculated by the Hill determinant approach are compared with those results produced by the inner product technique. |
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Keywords: | |
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