ALTERNATIVE ALGEBRAIC STRUCTURES FROM BI-HAMILTONIAN QUANTUM SYSTEMS
DOI10.1142/S0219887805000831zbMath1082.81046arXivquant-ph/0507233MaRDI QIDQ5709217
A. Simoni, Giuseppe Scolarici, Giuseppe Marmo, Franco Ventriglia
Publication date: 29 November 2005
Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/quant-ph/0507233
geometric structuresoperator algebraQuantum mechanicsalternative Hermitian structuresdeformation of associative algebras
Quantization in field theory; cohomological methods (81T70) Geometry and quantization, symplectic methods (81S10) Deformation quantization, star products (53D55) Operator algebra methods applied to problems in quantum theory (81R15)
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Cites Work
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- The inverse problem in the calculus of variations and the geometry of the tangent bundle
- Quantum systems: real spectra and nonhermitian (Hamiltonian) operators.
- Bihamiltonian quantum systems and Weyl quantization.
- Quaternion quantum mechanics: Second quantization and gauge fields
- Classical and quantum systems: alternative Hamiltonian descriptions
- A new look at relativity transformations
- Differential geometry of density states
- Alternative descriptions in quaternionic quantum mechanics
- QUANTUM SYSTEMS AND ALTERNATIVE UNITARY DESCRIPTIONS
- Cayley–Klein parameters and evolution of two- and three-level systems and squeezed states
- Quaternionic Representations of Compact Groups
- Quaternionic representations of magnetic groups
- Hyper-Hamiltonian dynamics
- Pseudoanti-Hermitian operators in quaternionic quantum mechanics
- Alternative structures and bi-Hamiltonian systems
- THE QUANTUM-CLASSICAL TRANSITION: THE FATE OF THE COMPLEX STRUCTURE
- Alternative structures and bi-Hamiltonian systems on a Hilbert space
- ALTERNATIVE HAMILTONIAN DESCRIPTIONS FOR QUANTUM SYSTEMS AND NON-HERMITIAN OPERATORS WITH REAL SPECTRUM
- Note on Wigner's Theorem on Symmetry Operations
- Remarks on positive maps of finite-dimensional simple Jordan algebras
- Quaternions and matrices of quaternions
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