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We study the canonical and the coherent state quantization of a particle moving in a magnetic field on a non-commutative plane. Starting from the so called \theta-modified action, we perform the canonical quantization and analyze the gauge…

Quantum Physics · Physics 2009-10-06 M. C. Baldiotti , J. P. Gazeau , D. M. Gitman

We discuss the classical and quantum mechanical evolution of systems described by a Hamiltonian that is a function of a solvable one, both classically and quantum mechanically. The case in which the solvable Hamiltonian corresponds to the…

Quantum Physics · Physics 2015-05-13 J. Fernando Barbero G. , Iñaki Garay , Eduardo J. S. Villaseñor

A simple, general discussion of the problem of inertia is provided both in classical physics and in the quantum world. After briefly reviewing the classical principles of equivalence (weak (WEP), Einstein (EEP), strong (SEP)), I pass to a…

General Relativity and Quantum Cosmology · Physics 2011-09-15 H. C. Rosu

We give a rigorous description of a model of the quantized electromagnetic field interacting with quantized current fields. In the special case of classical currents our results agree with common knowledge about the problem. A toy model of…

Mathematical Physics · Physics 2009-11-10 Jan Naudts , Wojciech De Roeck

We study a family of integrable systems of nonlinearly coupled harmonic oscillators on the classical and quantum levels. We show that the integrability of these systems follows from their symmetry characterized by algebras called here…

Mathematical Physics · Physics 2016-06-22 A. Odzijewicz , E. Wawreniuk

Based on the concept of ontological states and their dynamical evolution by permutations, as assumed in the Cellular Automaton Interpretation (CAI) of quantum mechanics, we address the issue whether quantum-classical hybrids can be…

Quantum Physics · Physics 2022-03-29 Hans-Thomas Elze

We review classical properties of harmonic-oscillator coherent states. Then we discuss which of these classical properties are preserved under the group-theoretic generalization of coherent states. We prove that the generalized coherent…

Quantum Physics · Physics 2007-05-23 C. Brif , A. Mann , M. Revzen

This paper is concerned with a linear fractional representation approach to the synthesis of linear coherent quantum controllers for a given linear quantum plant. The plant and controller represent open quantum harmonic oscillators and are…

Quantum Physics · Physics 2017-03-23 Arash Kh. Sichani , Ian R. Petersen

Coherent states possess a regularized path integral and gives a natural relation between classical variables and quantum operators. Recent work by Klauder and Whiting has included extended variables, that can be thought of as gauge fields,…

Quantum Physics · Physics 2008-02-03 M. C. Ashworth

Clock synchronisation relies on time-frequency transfer procedures which involve quantum fields. We use the conformal symmetry of such fields to define as quantum operators the time and frequency exchanged in transfer procedures and to…

Quantum Physics · Physics 2009-10-30 Marc-Thierry Jaekel , Serge Reynaud

An oscillating, compact Friedmann universe with a massive conformally coupled scalar field is studied in the framework of quantum cosmology. The scalar field is treated as a perturbation and we look for solutions of the Wheeler-DeWitt…

General Relativity and Quantum Cosmology · Physics 2019-10-23 Thibault Damour , Alexander Vilenkin

The GNS representation construction is considered in a general case of topological involutive algebras of quantum systems, including quantum fields, and inequivalent state spaces of these systems are characterized. We aim to show that, from…

Mathematical Physics · Physics 2015-08-17 G. Sardanashvily

Effective field theory provides a perturbative framework to study the evolution of cosmological large-scale structure. We investigate the underpinnings of this approach, and suggest new ways to compute correlation functions of cosmological…

High Energy Physics - Theory · Physics 2014-07-16 Sean M. Carroll , Stefan Leichenauer , Jason Pollack

A quantum field theoretic formulation of the dynamics of the Contact Process on a regular graph of degree z is introduced. A perturbative calculation in powers of 1/z of the effective potential for the density of particles phi(t) and an…

Statistical Mechanics · Physics 2016-08-16 Christophe Deroulers , Rémi Monasson

An unsolved problem in relativistic quantum information research is how to model efficient, directional quantum communication between localised parties in a fully quantum field theoretical framework. We propose a tractable approach to this…

Quantum Physics · Physics 2015-06-04 T. G. Downes , T. C. Ralph , N. Walk

We introduce the entangled coherent state representation, which provides a powerful technique for efficiently and elegantly describing and analyzing quantum optics sources and detectors while respecting the photon number superselection rule…

Quantum Physics · Physics 2007-05-23 Barry C. Sanders , Stephen D. Bartlett , Terry Rudolph , Peter L. Knight

We formulate a quantum coherent state picture for topological and non-topological solitons. We recognize that the topological charge arises from the infinite occupation number of zero momentum quanta flowing in one direction. Thus, the…

High Energy Physics - Theory · Physics 2015-11-17 Gia Dvali , Cesar Gomez , Lukas Gruending , Tehseen Rug

We continue our work on the study of spherically symmetric loop quantum gravity coupled to two spherically symmetric scalar fields, one that acts as a clock. As a consequence of the presence of the latter, we can define a true Hamiltonian…

General Relativity and Quantum Cosmology · Physics 2024-02-07 Rodolfo Gambini , Jorge Pullin

In this paper, we propose a new framework for quantum field theory in terms of consistency conditions. The consistency conditions that we consider are "associativity" or "factorization" conditions on the operator product expansion (OPE) of…

High Energy Physics - Theory · Physics 2008-09-19 S. Hollands

This paper presents an alternative approach to quantum entanglement, one that effectively resolves the logical inconsistencies without leading to logical contradictions. By addressing some of the inconsistencies within quantum mechanics,…

Quantum Physics · Physics 2024-05-15 Pouria Abbasalinejad , Hamid Tebyanian