EXACT QUANTUM STATES OF AN INVERTED PENDULUM UNDER TIME-DEPENDENT GRAVITATION
2004 ◽
Vol 19
(24)
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pp. 4165-4172
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Keyword(s):
We discuss the Lewis and Riesenfeld invariant method for cases where the invariant has continuous eigenvalues and use it to find the Schrödinger wave functions of an inverted pendulum under time-dependent gravitation. As a particular case, we consider an inverted pendulum with exponentially increasing mass and constant gravitation. We also obtain the exact solutions for a generalized time-dependent inverted pendulum.
Keyword(s):
2004 ◽
Vol 18
(24)
◽
pp. 1267-1274
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2012 ◽
Vol 18
◽
pp. 13-17
Keyword(s):
1993 ◽
Vol 70
(13)
◽
pp. 1900-1903
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2016 ◽
Vol 25
(04)
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pp. 1650029
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Keyword(s):
Canonical Approach to the Time-Dependent Parametric Oscillator with and without a Singular Potential
2003 ◽
Vol 17
(15)
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pp. 2903-2912
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2004 ◽
Vol 18
(09)
◽
pp. 1379-1385
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2007 ◽
Vol 21
(10)
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pp. 585-593
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