# Quantization of noncommutative completely integrable Hamiltonian systems

@article{Giachetta2007QuantizationON, title={Quantization of noncommutative completely integrable Hamiltonian systems}, author={Giovanni Giachetta and Luigi Mangiarotti and Gennadi A Sardanashvily}, journal={Physics Letters A}, year={2007}, volume={362}, pages={138-142} }

## 5 Citations

### Lectures on integrable Hamiltonian systems

- Mathematics, Physics
- 2013

We consider integrable Hamiltonian systems in a general setting of invariant submanifolds which need not be compact. For instance, this is the case a global Kepler system, non-autonomous integrable…

### Global action-angle coordinates for completely integrable systems with noncompact invariant submanifolds

- Mathematics
- 2007

The obstruction to the existence of global action-angle coordinates of Abelian and noncommutative (non-Abelian) completely integrable systems with compact invariant submanifolds has been studied. We…

### GEOMETRIC FORMULATION OF NON-AUTONOMOUS MECHANICS

- Mathematics
- 2013

We address classical and quantum mechanics in a general setting of arbitrary timedependent transformations. Classical non-relativistic mechanics is formulated as a particular field theory on smooth…

### Geometric Formulation of Classical and Quantum Mechanics

- Physics, Mathematics
- 2010

Dynamic Equations Lagrangian Mechanics Hamiltonian Mechanics Algebraic Quantization Geometric Quantization Constrained Systems Integrable Hamiltonian Systems Jacobi Fields Systems with Parameters:…

### Lectures on integrable Hamiltonian systems

- Mathematics, Physics
- 2013

We consider integrable Hamiltonian systems in a general setting of invariant submanifolds which need not be compact. For instance, this is the case a global Kepler system, non-autonomous integrable…

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Abstract
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