q-Canonical transformations for many q-bosons and new q–k symmetry
Keyword(s):
The Many
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A new symmetry is identified for the many particle q-Bose system, which permits carrying out a linear q-canonical transformation, i.e., one which preserves the q-deformed commutation rules. The symmetry is exhibited when the set of q-modes is partitioned into "positive" and "negative," each subset having its own type of deformation. For plane-wave modes, labelled by wave vector k, this means separate positive and negative wave vectors. Then, identifying the new symmetry: (q → q−1, k → −k) the transformation can be implemented. The new aspect is the simultaneous transformation of wave vector k and parameter q.
Philosophical Transactions of the Royal Society of London Series A Physical and Engineering Sciences
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1993 ◽
Vol 345
(1677)
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pp. 577-598
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2007 ◽
Vol 61
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pp. 273-277
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Keyword(s):
2004 ◽
Vol 07
(04)
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pp. 547-571
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2009 ◽
Vol 24
(25n26)
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pp. 4769-4788
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2009 ◽
Vol 24
(24)
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pp. 4573-4587
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