A POSSIBLE CONNECTION BETWEEN CLASSICAL INTEGRABILITY AND QUANTUM SOLVABILITY FOR DYNAMICAL SYSTEMS IN TWO DIMENSIONS
1991 ◽
Vol 06
(31)
◽
pp. 2887-2891
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Keyword(s):
Within the framework of a simple ansatz for the eigenfunction we try to understand the relationship between the classical integrability and the quantum solvability (i.e., the existence of a normalizable solution to the Schrödinger wave equation with nonzero eigenvalues) of a dynamical system in two dimensions. As an example, the case of an inverse harmonic oscillator potential, which is found to be classically integrable and also quantum solvable, is discussed.
2021 ◽
Vol 1869
(1)
◽
pp. 012188
1990 ◽
Vol 16
(8)
◽
pp. L135-L136
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Keyword(s):
1983 ◽
Vol 16
(1)
◽
pp. 43-48
◽
1996 ◽
Vol 11
(19)
◽
pp. 1563-1567
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2013 ◽
Vol 39
(1)
◽
pp. 1-33
◽