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In statistical mechanics, it is well known that finite-state classical lattice models can be recast as quantum models, with distinct classical configurations identified with orthogonal basis states. This mapping makes classical statistical…

量子物理 · 物理学 2011-09-28 Norman Margolus

Hydrodynamic reformulations of the Schr\"odinger equation suggest an interpretation of quantum mechanics in terms of a fluid flowing on configuration space. In the discrete hydrodynamic view, this fluid is not fundamental but emerges from…

量子物理 · 物理学 2026-02-25 Aric Hackebill , Bill Poirier

The theories of stochastic quantum mechanics and stochastic electrodynamics bring to light important aspects of the quantum dynamics that are concealed in the standard formalism. Here we take further previous work regarding the connection…

量子物理 · 物理学 2021-04-28 A. M. Cetto , L. de la Peña , A. Valdés-Hernández

We argue that the complex numbers are an irreducible object of quantum probability. This can be seen in the measurements of geometric phases that have no classical probabilistic analogue. Having complex phases as primitive ingredient…

广义相对论与量子宇宙学 · 物理学 2014-11-17 Charis Anastopoulos

It is possible to completely explain all aspects of quantum mechanics by expressing the relations between physical properties in terms of complex conditional probabilities (Phys. Rev. A 89, 042115(2014)). These fully deterministic…

量子物理 · 物理学 2014-05-02 Holger F. Hofmann

This paper argues that every quantum system can be understood as a sufficiently general kind of stochastic process unfolding in an old-fashioned configuration space according to ordinary notions of probability. This argument is based on an…

量子物理 · 物理学 2025-07-31 Jacob A. Barandes

Interrelations between dynamical and statistical laws in physics, on the one hand, and between the classical and quantum mechanics, on the other hand, are discussed with emphasis on the new phenomenon of dynamical chaos. The principal…

chao-dyn · 物理学 2008-02-03 Boris Chirikov

The collective production of electron-positron pairs by electrostatic waves in quantum plasmas is investigated. In particular, a semi-classical governing set of equation for a self-consistent treatment of pair creation by the Schwinger…

量子物理 · 物理学 2007-05-23 M. Marklund , B. Eliasson , P. K. Shukla , L. Stenflo , M. E. Dieckmann , M. Parviainen

In a cosmological setting, particle production is ubiquitous. It may occur as a consequence of the expansion of the background or because a field couples to other degrees of freedom that evolve with time. The process is well understood in…

高能物理 - 理论 · 物理学 2025-02-25 Evgueni Alexeev , Raphael Flauger

Classical particle mechanics on curved spaces is related to the flow of ideal fluids, by a dual interpretation of the Hamilton-Jacobi equation. As in second quantization, the procedure relates the description of a system with a finite…

流体动力学 · 物理学 2007-05-23 J. W. van Holten

Wave-particle duality and the superposition of quantum mechanical states furnish quantum mechanics with unique features which distinguishes it from classical mechanics and give it the apparently counter-intuition interpretation. The two…

量子物理 · 物理学 2020-06-15 Abanoub Mikhail

The exact solutions of the wave equation for arbitrary spin particles in the field of the soliton-like electric impulse were obtained. The differential probability of pair production of particles by electromagnetic fields has been evaluated…

高能物理 - 唯象学 · 物理学 2007-05-23 S. I. Kruglov

Until recently, wave-particle duality has been thought of as quantum principle without a counterpart in classical physics. This belief was challenged after (i) finding that average dynamics of a classical particle in strong inhomogeneous…

量子物理 · 物理学 2015-06-03 Alexander Y. Davydov

We describe a classical thermodynamic model that reproduces the main features of the solid hydrogen phase diagram. In particular, we show how the general structure types that are found by electronic structure calculations and the quantum…

无序系统与神经网络 · 物理学 2017-04-05 Ioan B Magdău , Miriam Marques , Balint Borgulya , Graeme J Ackland

Recent work on stochastic interacting particle systems with two particle species (or single-species systems with kinematic constraints) has demonstrated the existence of spontaneous symmetry breaking, long-range order and phase coexistence…

统计力学 · 物理学 2016-08-16 Gunter M. Schütz

We study the $S$-matrix interpretation of quantum theory in light of Categotical Quantum Mechanics. The $S$-matrix interpretation of quantum theory is shown to be a functorial semantics relating the algebras of quantum theory to the…

量子物理 · 物理学 2017-09-15 Xiao-Kan Guo

The existence of a classical limit describing interacting particles in a second-quantized theory of identical particles with bosonic symmetry is proved. This limit exists in addition to a previously established classical limit with a…

高能物理 - 理论 · 物理学 2010-01-15 N. Yokomizo , J. C. A. Barata

The classical and quantum evolution of a generic probability distribution is analyzed. To that end, a formalism based on the decomposition of the distribution in terms of its statistical moments is used, which makes explicit the differences…

量子物理 · 物理学 2014-11-04 David Brizuela

Identifying universal properties of non-equilibrium quantum states is a major challenge in modern physics. A fascinating prediction is that classical hydrodynamics emerges universally in the evolution of any interacting quantum system.…

量子物理 · 物理学 2024-12-03 M. K. Joshi , F. Kranzl , A. Schuckert , I. Lovas , C. Maier , R. Blatt , M. Knap , C. F. Roos

A physical theory without interpretation is mathematics. Since there are no paradoxes in science, only incorrect interpretations of phenomena or inadequate theories, it is necessary to use a consistent interpretation of quantum mechanics…

量子物理 · 物理学 2007-05-23 B. C. Sanctuary
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