Random walk on the homogeneous spaces of a group and generalized coherent states

G Bertotti, M Rasetti - Physica A: Statistical Mechanics and its Applications, 1984 - Elsevier
The evolution of a quantum system characterized by a dynamical group G and subjected to
random interactions can be reduced, through the use of the generalized coherent states …

On the Dynamics of Generalized Coherent States. II. Classical Equations of Motions

BA Nikolov, DA Trifonov - arXiv preprint quant-ph/0407261, 2004 - arxiv.org
Using the Klauder approach the stable evolution of generalized coherent states (GCS) for
some groups (SU (2), SU (1, 1) and SU (N)) is considered and it is shown that one and the …

On the Dynamics of Generalized Coherent States. I. Exact and Stable Evolution

BA Nikolov, DA Trifonov - arXiv preprint quant-ph/0407260, 2004 - arxiv.org
The exact and stable evolutions of generalized coherent states (GCS) for quantum systems
are considered by making use of the time-dependent integrals of motion method and of the …

Repeated quantum interactions and unitary random walks

S Attal, A Dhahri - Journal of Theoretical Probability, 2010 - Springer
Among the discrete evolution equations describing a quantum system ℋ S undergoing
repeated quantum interactions with a chain of exterior systems, we study and characterize …

Quantum statistical mechanics of systems with an infinite number of degrees of freedom

I Prigogine - Contemporary Physics: Trieste Symposium 1968. Vol. I …, 1969 - inis.iaea.org
Quantum Statistical Mechanics of Systems with an Infinite Num..|INIS IAEA NUCLEUS Sign In
Sign In Register Help 50+ years of INIS International Nuclear Information System International …

Randomized Quantum Hamiltonian Systems

JE Gough, YN Orlov, VZ Sakbaev… - arXiv preprint arXiv …, 2021 - arxiv.org
We present a procedure for averaging one-parameter random unitary groups and random
self-adjoint groups. Central to this is a generalization of the notion of weak convergence of a …

[引用][C] Quantum stochastic processes II

A Frigerio - Physics Reports, 1981 - Elsevier
The aim of this talk is to provide examples for the theory of (a class of) quantum stochastic
processes presented by JT Lewis in this issue [1]. It is not difficult to construct examples of …

Time evolution of generalized coherent states

LL Sanchez-Soto, E Bernabeu - Nuovo Cimento B;(Italy), 1987 - osti.gov
The concept of generalized coherent states for an arbitrary Lie group is revisited. Their
analiticity properties are discussed showing that they lead naturally to a phase space …

Coherent states and quantization on homogeneous spaces

ST Ali, S De Bievre - Group Theoretical Methods in Physics: Proceedings …, 2005 - Springer
A fairly general procedure is described for the construction of coherent states of the induced
representations of a general class of semi-direct product groups. The construction is much …

KMS condition in a Schrödinger picture of the dynamics

H Roos - Physica A: Statistical Mechanics and its Applications, 1980 - Elsevier
Given the C∗-algebra A of observables, the KMS condition is formulated in terms of the time
evolution α∗ t of a set S 0⊂ S (A) of “physical” states subject to certain natural conditions …