Quantum canonical transformations and integrability: Beyond unitary transformations
Feb, 199312 pages
Published in:
- Phys.Lett.B 319 (1993) 157-162
e-Print:
- hep-th/9302061 [hep-th]
Report number:
- IMPERIAL-TP-92-93-19
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Abstract:
Quantum canonical transformations are defined in analogy to classical canonical transformations as changes of the phase space variables which preserve the Dirac bracket structure. In themselves, they are neither unitary nor non-unitary. A definition of quantum integrability in terms of canonical transformations is proposed, and the important role of non-unitary transformations in integrability is discussed.- quantization
- Hamiltonian formalism
- transformation: phase space
- linear space: Hilbert space
- symmetry
- integrability
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