Bound States in Two-dimensional Crossed or Bent Quantum Wires
1998 ◽
Vol 12
(19)
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pp. 1907-1919
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Keyword(s):
The method of conformal transformation is applied to solve the bound state problem for two-dimensional crossed wires with sharp and with smooth circular corners, for T-shaped and L-shaped wires and a number of other geometries. It is shown that in this method the wave equation with Dirichlet boundary condition on the boundaries of these wires can be transformed to a Schrödinger equation with a unique two-dimensional energy-dependent noneseparable potential. The results for various geometries indicate that sharp corners are essential in generating the bound states.
2012 ◽
Vol 27
(27)
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pp. 1250161
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Keyword(s):
Keyword(s):
2016 ◽
Vol 14
(01)
◽
pp. 1750011
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Keyword(s):
1989 ◽
Vol 233
(3-4)
◽
pp. 451-456
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1968 ◽
Vol E68
◽
pp. 80-96
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Keyword(s):