AN IMPLICIT SPECTRAL FORMULA FOR GENERALIZED LINEAR SCHRÖDINGER EQUATIONS
2009 ◽
Vol 18
(09)
◽
pp. 1831-1844
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Keyword(s):
We generalize the semiclassical Bohr–Sommerfeld quantization rule to an exact, implicit spectral formula for linear, generalized Schrödinger equations admitting a discrete spectrum. Special cases include the position-dependent mass Schrödinger equation or the Schrödinger equation for weighted energy. Requiring knowledge of the potential and the solution associated with the lowest spectral value, our formula predicts the complete spectrum in its exact form.
2003 ◽
Vol 18
(39)
◽
pp. 2829-2835
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2017 ◽
Vol 792
◽
pp. 012037
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Keyword(s):
2006 ◽
Vol 47
(10)
◽
pp. 102101
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Keyword(s):
2012 ◽
Vol 09
(04)
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pp. 613-639
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2021 ◽
Vol 2090
(1)
◽
pp. 012165
2008 ◽
Vol 17
(07)
◽
pp. 1327-1334
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