MULTI-MODE LINEAR COMPOSITE MOMENTUM REPRESENTATION AND ITS APPLICATION
Keyword(s):
A unitary transformation matrix, n linear-composite coordinate operators and n linear-composite momentum operators are constructed for an n-particle system, and the complete and orthonormal common eigenvectors of the multi-mode linear composite momentum operators are examined by virtue of the technique of integration within an ordered product of operators. The multi-mode linear composite momentum representation is proposed, and its application to a general two-mode forced quantum harmonic oscillator system with kinetic coupling is presented for solving some dynamic problems.
2019 ◽
Vol 40
(4)
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pp. 045101
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2007 ◽
Vol 47
(6)
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pp. 1654-1662
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2008 ◽
Vol 49
(1)
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pp. 137-142
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2021 ◽
Vol 1918
(2)
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pp. 022025
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2005 ◽
Vol 26
(6)
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pp. 445-483
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1991 ◽
Vol 38
(4)
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pp. 801-812
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2014 ◽
Vol 165
(6)
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pp. 1149-1168
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