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We discuss the unitary quantum dynamics of the Dicke model (spin and oscillator coupled). A suitable quasiprobabilty representing the quantum state turns out to obey a Fokker-Planck equation, with drift terms representing the underlying…

量子物理 · 物理学 2015-06-04 Alexander Altland , Fritz Haake

We suggest a new conceptual frame where inflationary Cosmology is quantum mechanically described using the Hilbert space representation of the crossed product of the type $III$ factor associated with the algebra of local operators on the de…

高能物理 - 理论 · 物理学 2022-07-15 Cesar Gomez

In our bouncer-walker model a quantum is a nonequilibrium steady-state maintained by a permanent throughput of energy. Specifically, we consider a "particle" as a bouncer whose oscillations are phase-locked with those of the energy-momentum…

量子物理 · 物理学 2012-05-22 Herbert Schwabl , Johannes Mesa Pascasio , Siegfried Fussy , Gerhard Groessing

Instead of formulating the states of a Quantum Field Theory (QFT) as density matrices over a single large Hilbert space, it has been proposed by Kijowski [Kijowski, 1977] to construct them as consistent families of partial density matrices,…

高能物理 - 理论 · 物理学 2016-04-20 Suzanne Lanéry

Quantum theory has the intriguing feature that is inconsistent with noncontextual hidden variable models, for which the outcome of a measurement does not depend on which other compatible measurements are being performed concurrently. While…

量子物理 · 物理学 2015-08-20 Hong-Yi Su , Jing-Ling Chen , Yeong-Cherng Liang

We present a unification of mixed-space quantum representations in Condensed Matter Physics (CMP) and Quantum Field Theory (QFT). The unifying formalism is based on being able to expand any quantum operator, for bosons, fermions, and spin…

量子物理 · 物理学 2022-05-09 Felix A. Buot , Gibson T. Maglasang , Allan Roy B. Elnar

In physics, experiments ultimately inform us as to what constitutes a good theoretical model of any physical concept: physical space should be no exception. The best picture of physical space in Newtonian physics is given by the…

量子物理 · 物理学 2017-09-14 Chuan Sheng Chew , Otto C. W. Kong , Jason Payne

We study the probabilistic consequences of the choice of the basic number field in quantum formalism. We demonstrate that by choosing a number field for a linear space representation of quantum model it is possible to describe various…

量子物理 · 物理学 2007-05-23 Andrei Khrennikov

The quark mean field model, which describes the nucleon using the constituent quark model, is applied to investigate the properties of finite nuclei. The couplings of the scalar and vector mesons with quarks are made density dependent…

核理论 · 物理学 2009-11-07 Y. H. Tan , H. Shen , P. Z. Ning

Entanglement in random states has turned into a useful approach to quantum thermalization and black hole physics. In this article, we refine and extend the `random unitaries framework' to quantum field theories (QFT), and to include…

高能物理 - 理论 · 物理学 2015-09-02 Javier M. Magan , Stefan Vandoren

Quantum Information Theory, the standard formalism used to represent information contained in quantum systems, is based on complex Hilbert spaces (CQT). It was recently shown that it predicts correlations in quantum networks which cannot be…

量子物理 · 物理学 2025-03-14 Shubhayan Sarkar , David Trillo , Marc Olivier Renou , Remigiusz Augusiak

We present a very general geometrico-dynamical description of physical or more abstract entities, called the 'general tension-reduction' (GTR) model, where not only states, but also measurement-interactions can be represented, and the…

量子物理 · 物理学 2017-09-07 Diederik Aerts , Massimiliano Sassoli de Bianchi

In these notes we construct a quantization functor, associating an Hilbert space H(V) to a finite dimensional symplectic vector space V over a finite field F_q. As a result, we obtain a canonical model for the Weil representation of the…

数学物理 · 物理学 2009-04-20 Shamgar Gurevich , Ronny Hadani

Useful relations describing arbitrary parameters of given quantum systems can be derived from simple physical constraints imposed on the vectors in the corresponding Hilbert space. This is well known and it usually proceeds by partitioning…

量子物理 · 物理学 2022-10-18 Chinonso Onah

A philosophically consistent axiomatic approach to classical and quantum mechanics is given. The approach realizes a strong formal implementation of Bohr's correspondence principle. In all instances, classical and quantum concepts are fully…

量子物理 · 物理学 2009-11-10 Arnold Neumaier

Quantum mechanics describes seemingly paradoxical relations between the outcomes of measurements that cannot be performed jointly. In Hilbert space, the outcomes of such incompatible measurements are represented by non-orthogonal states. In…

量子物理 · 物理学 2023-03-06 Ming Ji , Holger F. Hofmann

In this paper, we extend the standard formalism of quantum mechanics to a quantum theory for a total system including one internal measuring apparatus. The internality of the measuring apparatus implies that different decomposition of a…

量子物理 · 物理学 2012-05-17 Wen-ge Wang

The restrictions that nature places on the distribution of correlations in a multipartite quantum system play fundamental roles in the evolution of such systems, and yield vital insights into the design of protocols for the quantum control…

量子物理 · 物理学 2007-05-23 Tracey E. Tessier

A unified scheme for treating generalized superselection sectors is proposed on the basis of the notion of selection criteria to characterize states of relevance to each specific domain in quantum physics, ranging from the relativistic…

数学物理 · 物理学 2007-05-23 Izumi Ojima

This work introduces a novel model of quantum entities as unified, physically extended wavefields, forming the basis for a testable realist, holist framework for quantum measurement and collapse. Unlike interpretations that postulate hidden…

量子物理 · 物理学 2026-05-14 Jason D. Runyan