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Whereas the entropy of any deterministic classical system described by a principle of least action is zero, one can assign a "quantum information" to quantum mechanical degree of freedom equal to Hausdorff area of the deviation from a…

Quantum Physics · Physics 2009-11-10 A. Granik , G. Chapline

Classical mechanics is a singular theory in that real-energy classical particles can never enter classically forbidden regions. However, if one regulates classical mechanics by allowing the energy E of a particle to be complex, the particle…

High Energy Physics - Theory · Physics 2014-08-28 Carl M. Bender , Daniel W. Hook

Core quantum postulates including the superposition principle and the unitarity of evolutions are natural and strikingly simple. I show that -- when supplemented with a limited version of predictability (captured in the textbook accounts by…

Quantum Physics · Physics 2022-11-09 Wojciech Hubert Zurek

The classical limit problem of quantum mechanics is revisited on the basis of a scheme that enables a quantitative study of the way the quantum-classical agreement emerges while going through the intermediate mass range between the…

Quantum Physics · Physics 2015-05-13 Dipankar Home , Alok Kumar Pan , Arka Banerjee

We examine the logical structure of the emergence of classical stochasticity for a quantum system governed by a Pauli-type master equation. It is well-known that while such equations describe the evolution of probabilities, they do not…

Quantum Physics · Physics 2026-02-05 Xuan Du Trinh , Ismaël Septembre , Hai-Chau Nguyen

We study scalar particle decay during the radiation and matter dominated epochs of a standard cosmological model. An adiabatic approximation is introduced that is valid for degrees of freedom with typical wavelengths much smaller than the…

High Energy Physics - Phenomenology · Physics 2018-10-03 Nathan Herring , Brian Pardo , Daniel Boyanovsky , Andrew R. Zentner

Quantum escapes of two particles with Coulomb interactions from a confined one-dimensional region to a semi-infinite lead are discussed by the probability of particles remaining in the confined region, i.e. the survival probability, in…

Statistical Mechanics · Physics 2013-05-29 Tooru Taniguchi , Shin-ichi Sawada

In this letter, we prove that the classical capacity of quantum channel for $M$ symmetric states is achieved by an uniform distribution on a priori probabilities. We also investigate non-symmetric cases such as a ternary amplitude shift…

Quantum Physics · Physics 2009-10-31 Kentaro Kato , Masao Osaki , Osamu Hirota

The problem of emergence in physical theories makes necessary to build a general theory of the relationships between the observed system and the observing system. It can be shown that there exists a correspondence between classical systems…

General Physics · Physics 2016-11-23 Ignazio Licata

We study the change of multiparticle entanglement if one particle becomes classical, in the sense that this particle is destructed by a measurement, but the gained information is encoded into a new register. We present an estimation of this…

Quantum Physics · Physics 2023-04-10 Zhen-Peng Xu , Satoya Imai , Otfried Gühne

The environment surrounding a quantum system can, in effect, monitor some of the systems observables. As a result, the eigenstates of these observables continuously decohere and can behave like classical states.

Quantum Physics · Physics 2007-05-23 Wojciech H. Zurek

The coherent process of particle deflection by aligned atomic strings and planes of oriented crystals is accompanied by incoherent scattering by atomic cores. While the coherent particle deflection, described by the axial or planar averaged…

Accelerator Physics · Physics 2020-04-14 Victor V. Tikhomirov

A study is reported of the quantum scattering resonances of dissociating molecules using a semiclassical approach based on periodic-orbit theory. The dynamics takes place on a potential energy surface with an energy barrier separating two…

Chemical Physics · Physics 2016-04-12 Pierre Gaspard

Process of quantum tunneling of particles in various physical systems can be effectively controlled even by a weak and slow varying in time electromagnetic signal if to adapt specially its shape to a particular system. During an…

Quantum Physics · Physics 2009-02-05 B. I. Ivlev

The decay of quasi-stable quantum system involves primarily an outgoing probability current density. However, during the transition from exponential to inverse-power-law decay there are time intervals during which this current, although…

Quantum Physics · Physics 2019-11-07 Wytse van Dijk , F. Masafumi Toyama

Classicalization is a phenomenon of redistribution of energy - initially stored in few hard quanta - into the high occupation numbers of the soft modes, described by a final state that is approximately classical. Using an effective…

High Energy Physics - Theory · Physics 2018-04-18 Gia Dvali

This paper examines the complex trajectories of a classical particle in the potential V(x)=-cos(x). Almost all the trajectories describe a particle that hops from one well to another in an erratic fashion. However, it is shown analytically…

High Energy Physics - Theory · Physics 2015-06-05 Alexander G. Anderson , Carl M. Bender

A unified conceptual foundation of classical and quantum physics is given, free of undefined terms. Ensembles are defined by extending the `probability via expectation' approach of Whittle to noncommuting quantities. This approach carries…

Quantum Physics · Physics 2007-05-23 Arnold Neumaier

An emissivity formula is derived using the generalised Fermi-Weizacker-Williams method of virtual photons which accounts for the recoil the charged particle experiences as it emits radiation. It is found that through this derivation the…

Plasma Physics · Physics 2015-12-09 J. L. Martins , M. Vranic , T. Grismayer , J. Vieira , R. A. Fonseca , L. O. Silva

The correspondence principle suggests that a quantum description for the microworld should be naturally transited to a classical description within the classical limit. However, it seems that there is a large gap between quantum no-cloning…

Quantum Physics · Physics 2018-03-16 Ming-hao Wang , Qing-yu Cai