# FK-DLR properties of a quantum multi-type Bose-gas with a repulsive interaction

@article{Suhov2013FKDLRPO, title={FK-DLR properties of a quantum multi-type Bose-gas with a repulsive interaction}, author={Yuri M. Suhov and Izabella Stuhl}, journal={Journal of Mathematical Physics}, year={2013}, volume={55}, pages={083306} }

The paper extends earlier results from Suhov and Kelbert [“FK-DLR states of a quantum Bose-gas with a hardcore interaction,” arXiv:1304.0782] and Suhov et al. [“Shift-invariance for FK-DLR states of a 2D quantum Bose-gas,” arXiv:1304.4177] about infinite-volume quantum bosonic states (FK-DLR states) to the case of multi-type particles with non-negative interactions. (An example is a quantum Widom–Rowlinson model.) Following the strategy from Suhov and Kelbert and Suhov et al., we establish that…

## 3 Citations

### The Feynman–Kac Representation and Dobrushin–Lanford–Ruelle States of a Quantum Bose-Gas

- PhysicsMathematics
- 2020

This paper focuses on infinite-volume bosonic states for a quantum particle system (a quantum gas) in Rd. The kinetic energy part of the Hamiltonian is the standard Laplacian (with a boundary…

### A Complete Bibliography of Publications in the Journal of Mathematical Physics: 2005{2009

- Mathematics
- 2015

(2 < p < 4) [200]. (Uq(∫u(1, 1)), oq1/2(2n)) [92]. 1 [273, 79, 304, 119]. 1 + 1 [252]. 2 [352, 318, 226, 40, 233, 157, 299, 60]. 2× 2 [185]. 3 [456, 363, 58, 18, 351]. ∗ [238]. 2 [277]. 3 [350]. p…

### FK-DLR states of a quantum bose-gas with a card-core interaction

- Physics
- 2013

The paper focuses on infinite-volume bosonic states for a quantum particle system (a quantum gas) in a Euclidean space. The kinetic energy part of the Hamiltonian is the standard Laplacian (with a…

## References

SHOWING 1-10 OF 26 REFERENCES

### Shift-invariance for FK-DLR states of a 2D quantum bose-gas

- Physics
- 2013

This paper continues the work Y. Suhov, M. Kelbert. FK-DLR states of a quantum bose-gas, arXiv:1304.0782 [math-ph], and focuses on infinite-volume bosonic states for a quantum system (a quantum gas)…

### A Quantum Mermin-Wagner Theorem for a Generalized Hubbard Model

- Physics
- 2013

This paper is the second in a series of papers considering symmetry properties of bosonic quantum systems over 2D graphs, with continuous spins, in the spirit of the Mermin-Wagner theorem. In the…

### A quantum Mermin-Wagner theorem for quantum rotators on two-dimensional graphs

- Mathematics
- 2013

This is the first of a series of papers considering symmetry properties of quantum systems over 2D graphs or manifolds, with continuous spins, in the spirit of the Mermin–Wagner theorem [N. D. Mermin…

### The Statistical Mechanics of Quantum Lattice Systems: A Path Integral Approach

- Physics
- 2009

Quantum statistical mechanics plays a major role in many fields such as, for instance, thermodynamics, plasma physics, solid-state physics, and the study of stellar structure. While the theory of…

### Equilibrium states of a Bose gas with repulsive interactions

- Mathematics, PhysicsThe Journal of the Australian Mathematical Society. Series B. Applied Mathematics
- 1980

Abstract We consider infinite volume limit Gibbs states of a nonrelativistic quantum Bose gas consisting of one species of spinless particles with positive interaction potentials. The finite volume…

### Reduced Density Matrices of Quantum Gases. III. Hard‐Core Potentials

- Mathematics
- 1965

In two previous papers, the reduced density matrices of quantum gases, in the grand canonical formalism and for suitably restricted interaction potentials, have been shown to be analytic…

### Limit Gibbs state for some classes of one-dimensional systems of quantum statistical mechanics

- Physics, Mathematics
- 1978

We prove the existence of the limit Gibbs state for one-dimensional continuous quantum fermion systems with non-hard-core, non-negative, rapidly decreasing pair interaction potentials. Existence of…

### A Classical WR Model with $$q$$q Particle Types

- Mathematics
- 2013

A version of the Widom–Rowlinson model is considered, where particles of $$q$$q types coexist, subject to pairwise hard-core exclusions. For $$q\le 4$$q≤4, in the case of large equal fugacities, we…

### A Mermin–Wagner theorem on Lorentzian triangulations with quantum spins

- Physics, Mathematics
- 2014

We consider infinite random casual Lorentzian triangulations emerging in quantum gravity for critical values of parameters. With each vertex of the triangulation we associate a Hilbert space…

### Reduced Density Matrices of Quantum Gases. I. Limit of Infinite Volume

- Mathematics
- 1965

The reduced density matrices for quantum gases are studied by Banach space techniques. For suitably restricted interactions, they are shown to be analytic functions of the activity. As the volume of…