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One of the key features of quantum mechanics is the interference of probability amplitudes. The reason for the appearance of interference is mathematically very simple. It is the linear structure of the Hilbert space which is used for the…

Quantum Physics · Physics 2010-09-02 Martin Stefanak

The well known and oft-quoted Feynman's expression, entered the title, leading at a loss and even being objectionable, has not yet a clear explanation. The hidden parameters problem in quantum mechanics is considered here on the base of…

General Physics · Physics 2017-07-11 Nicolay V. Lunin

The fundamental physical theories that interpret and explain behaviour of matter in nature are dependent on several unobservables and insensibles in their construction. While a rigorous natural philosophy cannot take them for granted, there…

History and Philosophy of Physics · Physics 2020-01-29 C. S. Unnikrishnan

The indeterministic character of physical laws is generally considered to be the most important consequence of quantum physics. A deterministic point of view, however, together with the possibility of well defined Hamiltonian trajectories,…

Quantum Physics · Physics 2007-05-29 A. Orefice , R. Giovanelli , D. Ditto

Bohmian mechanics is a nonlocal hidden-variable interpretation of quantum theory which predicts that particles follow deterministic trajectories in spacetime. Historically, the study of Bohmian trajectories has mainly been restricted to…

Quantum Physics · Physics 2022-07-19 Joshua Foo , Estelle Asmodelle , Austin P. Lund , Timothy C. Ralph

Beyond the regime of distinguishable particles, many-body quantum interferences influence quantum transport in an intricate manner. However, symmetries of the single-particle transformation matrix alleviate this complexity and even allow…

Quantum Physics · Physics 2018-06-19 Christoph Dittel , Robert Keil , Gregor Weihs

The meaning of the wave function is an important unresolved issue in Bohmian mechanics. On the one hand, according to the nomological view, the wave function of the universe or the universal wave function is nomological, like a law of…

Quantum Physics · Physics 2025-01-08 Shan Gao

This article presents a novel interpretation of quantum mechanics. It extends the meaning of ``measurement'' to include all property-indicating facts. Intrinsically space is undifferentiated: there are no points on which a world of locally…

Quantum Physics · Physics 2009-10-31 Ulrich Mohrhoff

Quasi-set theory provides a mathematical background for dealing with collections of indistinguishable elementary particles. In this paper, we show how to obtain the quantum statistics into the scope of quasi-set theory and discuss the…

Quantum Physics · Physics 2009-10-31 Decio Krause , Adonai S. Sant'Anna , Analice G. Volkov

The notion of nonlocality implicitly implies there might be some kind of spooky action at a distance in nature, however, the validity of quantum mechanics has been well tested up to now. In this work it is argued that the notion of…

General Physics · Physics 2015-04-21 Dongsheng Wang

A geometrical characterization of robustly separable (that is, remaining separable under sufficiently small variiations) mixed states of a bipartite quantum system is given. It is shown that the density matrix of any such state can be…

Quantum Physics · Physics 2007-05-23 Roman R. Zapatrin

The use of Bohmian mechanics as a practical tool for modeling non-relativistic quantum phenomena of matter provides clear evidence of its success, not only as a way to interpret the foundations of quantum mechanics, but also as a…

Quantum Physics · Physics 2026-04-28 Juan José Seoane , Abdelilah Benali , Xavier Oriols

One of the greatest achievements of twentieth century physics is the discovery of a very close link between the microcosm and the macrocosm. This follows from the two basic principles of quantum mechanics and relativity, the uncertainty…

Popular Physics · Physics 2007-05-23 D. P. Roy

Bosonic and fermionic particle currents can be introduced in a more unified way, with the cost of introducing a preferred spacetime foliation. Such a unified treatment of bosons and fermions naturally emerges from an analogous superstring…

High Energy Physics - Theory · Physics 2009-10-02 H. Nikolic

Pilot wave theory endows particles with definite positions at all times governed by deterministic dynamics. However, individual particle trajectories are generically undetectable by experiment. This idea might seem to be contested in light…

Quantum Physics · Physics 2025-07-08 Johannes Fankhauser

We consider symmetry as a foundational concept in quantum mechanics and rewrite quantum mechanics and measurement axioms in this description. We argue that issues related to measurements and physical reality of states can be better…

Quantum Physics · Physics 2018-04-11 Houri Ziaeepour

The process of dynamical decoherence may cause apparent superselection rules, which are sometimes called `environmentally induced' or `soft'. A natural question is whether such dynamical processes are eventually also responsible for at…

Quantum Physics · Physics 2007-05-23 Domenico Giulini

The interaction between two parts in a compound quantum system may be reconsidered more completely than before and some new understandings and conclusions different from current quantum mechanics are obtained, including the conservation law…

General Physics · Physics 2010-11-03 Tian-Hai Zeng

The intrinsic multivaluedness of interaction process, revealed in Part I of this series of papers, is interpreted as the origin of the true dynamical (in particular, quantum) chaos. The latter is causally deduced as unceasing series of…

Quantum Physics · Physics 2008-02-03 Andrei P. Kirilyuk

We propose the idea that in Bohmian mechanics the wavefunction is related to a density of states and explore some of its consequences. Specifically, it allows a maximum-entropy interpretation of quantum probabilities, which creates a…

Quantum Physics · Physics 2007-05-23 Guy Potvin