Alternative commutation relations and quantum bi-Hamiltonian systems

Acta Applicandae Mathematicae

Volumn 70, Issue 1-3, 2002, Pages 161-181

  Marmo, G ^a  

^a UNIVERSITY OF NAPLES FEDERICO II   (Italy)

Author keywords

Alternative Hamiltonian descriptions; Commutations relations; Weyl Wigner quantum mechanics

Indexed keywords

CONTINUUM MECHANICS; EQUATIONS OF MOTION; MAPPING; MATHEMATICAL TRANSFORMATIONS; QUANTUM THEORY; STATISTICAL MECHANICS; VECTORS;

BI-HAMILTONIAN SYSTEMS;

HAMILTONIANS;

EID: 0036119742     PISSN: 01678019     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1013978316022     Document Type: Article

References (25)

1. An algebraic characterization of complete integrability for Hamiltonian systems
2. Some geometry and topology
3. A new characterization of completely integrable systems
4. 1-forms with the exterior derivative of maximal rank
5. Tensor fields defining a tangent bundle structure
6. The inverse problem in the Hamiltonian formalism: Integrability of linear Hamiltonian fields
7. From equations of motion to canonical commutation relations: Classical and quantum systems
8. Symplectic structures and quantum mechanics
9. Alternative Hamiltonian description for quantum systems
10. Die eindentikeit der Schrödingerschen operatoren
11. A theorem of Stone and von Neumann
12. A simple model of the integrable Hamiltonian equation
13. Ambiguities in the Lagrangian and Hamiltonian formalism: Transformation properties
14. Do the equations of motion determine the quantum mechanical commutation relations?
15. Wigner's problem and alternative commutation for quantum mechanics
16. BiHamiltonian quantum systems and Weyl quantization
17. Geometrical evaluation of star products
18. Quantum biHamiltonian systems
19. A generalization of the Jordan-Schwinger map: The classical version and its q deformation