We reduce the sigma model with noncommutative field space to the quantum me-chanical problem of two-dimensional harmonic oscillators with noncommutating coordinates. Then, by means of the Lagrangian formulation of the noncommuta-tive quantum mechanics, we re-derive the finite-temperature partition function of the system derived earlier in the context of the Hamiltonian formulation of the model. PACS numbers: 03.65.Ca, 11.10.Nx UDC 539.1
The electron motion along a chain is described by a continuum version of the Su-Schrieffer-Heeger Ha...
For thermal equilibrium systems it is shown, how the Kubo-Martin-Schwinger boundary condition may be...
The electron motion along a chain is described by a continuum version of the Su-Schrieffer-Heeger Ha...
We use the path integral approach to a two-dimensional noncommutative harmonic oscillator to derive ...
Extension of Feynman's path integral to quantum mechanics of noncommuting spatial coordinates is con...
We begin to study a sigma-model in which both the spacetime manifold and the two-dimensional string ...
In this paper we construct a path integral formulation of quantum mechanics on noncommutative phase-...
International audienceWe present the path integral techniques in a non-commutative phase space and i...
We consider classical and quantum mechanics related to an additional noncommutativity, symmetric in ...
Harmonic oscillator in noncommutative two dimensional lattice are investigated. Using the properties...
Instead of imposing the Schr\"{o}dinger equation to obtain the configuration space propagator $\cspr...
We discuss a recent approach to quantum field theoretical path integration on noncommutative geometr...
Latex, 10 pagesWe study sigma-models on noncommutative spaces, notably on noncommutative tori. We co...
Latex, 10 pagesWe study sigma-models on noncommutative spaces, notably on noncommutative tori. We co...
We solve explicitly the two-dimensional harmonic oscillator and the harmonic oscillator in a backgro...
The electron motion along a chain is described by a continuum version of the Su-Schrieffer-Heeger Ha...
For thermal equilibrium systems it is shown, how the Kubo-Martin-Schwinger boundary condition may be...
The electron motion along a chain is described by a continuum version of the Su-Schrieffer-Heeger Ha...
We use the path integral approach to a two-dimensional noncommutative harmonic oscillator to derive ...
Extension of Feynman's path integral to quantum mechanics of noncommuting spatial coordinates is con...
We begin to study a sigma-model in which both the spacetime manifold and the two-dimensional string ...
In this paper we construct a path integral formulation of quantum mechanics on noncommutative phase-...
International audienceWe present the path integral techniques in a non-commutative phase space and i...
We consider classical and quantum mechanics related to an additional noncommutativity, symmetric in ...
Harmonic oscillator in noncommutative two dimensional lattice are investigated. Using the properties...
Instead of imposing the Schr\"{o}dinger equation to obtain the configuration space propagator $\cspr...
We discuss a recent approach to quantum field theoretical path integration on noncommutative geometr...
Latex, 10 pagesWe study sigma-models on noncommutative spaces, notably on noncommutative tori. We co...
Latex, 10 pagesWe study sigma-models on noncommutative spaces, notably on noncommutative tori. We co...
We solve explicitly the two-dimensional harmonic oscillator and the harmonic oscillator in a backgro...
The electron motion along a chain is described by a continuum version of the Su-Schrieffer-Heeger Ha...
For thermal equilibrium systems it is shown, how the Kubo-Martin-Schwinger boundary condition may be...
The electron motion along a chain is described by a continuum version of the Su-Schrieffer-Heeger Ha...