Integrals of the motion and Green function for dual damped oscillators and coupled harmonic oscillators
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The application for the integrals of the motion of a quantum system in deriving Green function or propagator is presented. The Green function is shown to be the eigenfunction of the integrals of the motion which described initial points of the system trajectory in the phase space. The exact expressions for the Green functions of the dual damped oscillators and the coupled harmonic oscillators are evaluated in co-ordinate representations. The relation between the integrals of the motion method and other methods such as Feynman path integral and Schwinger method are also presented.
1982 ◽
Vol 383
(1785)
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pp. 313-332
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2017 ◽
Vol 32
(14)
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pp. 1750074
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2016 ◽
Vol 472
(2191)
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pp. 20160255
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1993 ◽
Vol 50
(11)
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pp. 2491-2512
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1968 ◽
Vol 49
(5)
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pp. 2002-2008
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1967 ◽
Vol 47
(8)
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pp. 2728-2735
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1969 ◽
Vol 50
(3)
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pp. 1495-1496
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