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A defining quantity of a physical system is its energy which is represented by the Hamiltonian. In closed quantum mechanical or/and coherent wave-based systems the Hamiltonian is introduced as a Hermitian operator which ensures real energy…

Mesoscale and Nanoscale Physics · Physics 2026-01-05 Jamal Berakdar , Xi-guang Wang

The quantum formalism is a ``measurement'' formalism--a phenomenological formalism describing certain macroscopic regularities. We argue that it can be regarded, and best be understood, as arising from Bohmian mechanics, which is what…

Quantum Physics · Physics 2015-06-26 Detlef Dürr , Sheldon Goldstein , Nino Zanghí

Recent philosophical discussions about metaphysical indeterminacy have been substantiated with the idea that quantum mechanics, one of the most successful physical theories in the history of science, provides explicit instances of worldly…

History and Philosophy of Physics · Physics 2024-03-12 Andrea Oldofredi

If one takes seriously the postulate of quantum mechanics in which physical states are rays in the standard Hilbert space of the theory, one is naturally lead to a geometric formulation of the theory. Within this formulation of quantum…

Quantum Physics · Physics 2007-05-23 Alejandro Corichi

Quantum mechanical scattering theory is a subject with a long and winding history. We shall pick out some of the most important concepts and ideas of scattering theory and look at them from the perspective of Bohmian mechanics: Bohmian…

Quantum Physics · Physics 2007-05-23 M. Daumer

Bohmian mechanics represents the universe as a set of paths with a probability measure defined on it. The way in which a mathematical model of this kind can explain the observed phenomena of the universe is examined in general. It is shown…

Quantum Physics · Physics 2007-11-20 Bruno Galvan

The hydrodynamic formulation of quantum mechanics is used to elucidate the mechanism for decoherence, the suppression of interference effects in a system evolving from an initial coherent superposition. Analysis of time-dependent trajectory…

Quantum Physics · Physics 2007-05-23 Kyungsun Na , Robert E. Wyatt

We present the quantum measurement problem as a serious physics problem. Serious because without a resolution, quantum theory is not complete, as it does not tell how one should - in principle - perform measurements. It is physical in the…

Quantum Physics · Physics 2018-07-23 Nicolas Gisin

We develop a generalized Aufbau principle for non-Hermitian systems that allows for building up the configurations of indistinguishable particles. The Aufbau rule of non-Hermitian systems is unexpectedly shown to be identical to that…

Quantum Physics · Physics 2023-07-24 Gaoyong Sun , Su-Peng Kou

The compatibility of standard and Bohmian quantum mechanics has recently been challenged in the context of two-particle interference, both from a theoretical and an experimental point of view. We analyze different setups proposed and derive…

Quantum Physics · Physics 2016-09-08 E. Guay , L. Marchildon

Nonlocality is a property of paramount importance both conceptually and computationally exhibited by quantum systems, which has no classical counterpart. Conceptually, it is important because it implies that the evolving system has…

Quantum Physics · Physics 2011-11-09 A. S. Sanz , S. Miret-Artes

A consistent physical theory of quantum mechanics can be built on a complex Hamiltonian that is not Hermitian but instead satisfies the physical condition of space-time reflection symmetry (PT symmetry). Thus, there are infinitely many new…

High Energy Physics - Theory · Physics 2009-11-10 Carl M. Bender , Dorje C. Brody , Hugh F. Jones

The paper sets out a primitive ontology of the natural world in terms of primitive stuff, that is, stuff that has as such no physical properties at all, but that is not a bare substratum either, being individuated by metrical relations. We…

History and Philosophy of Physics · Physics 2014-12-01 Michael Esfeld , Dustin Lazarovici , Vincent Lam , Mario Hubert

Supersymmetry is one of the most important and indispensable ingredients of modern theoretical physics. However, the absence, at least at the time of publishing this review, of experimental verification of supersymmetry in elementary…

High Energy Physics - Theory · Physics 2025-07-04 V. P. Berezovoj , A. J. Nurmagambetov

Quantum coherence, the physical property underlying fundamental phenomena such as multi-particle interference and entanglement, has emerged as a valuable resource upon which exotic modern technologies are founded. In general, the most…

In a series of recent papers, Simon Saunders, Fred Muller and Michael Seevinck have collectively argued, against the philosophy of quantum mechanics folklore, that some non-trivial version of Leibniz's principle of the identity of…

Quantum Physics · Physics 2014-09-02 Adam Caulton

This chapter provides a comprehensive overview of the Bohmian formulation of quantum mechanics. It starts with a historical review of the difficulties found by Louis de Broglie, David Bohm, and John S. Bell to convince the scientific…

Quantum Physics · Physics 2019-05-06 Xavier Oriols , Jordi Mompart

This work is about Bohmian mechanics, a non-relativistic quantum theory about the motion of particles and their trajectories, named after its inventor David Bohm (Bohm,1952). This mechanics resolves all paradoxes associated with the…

Quantum Physics · Physics 2017-10-03 David Navia

The de Broglie-Bohm interpretation of quantum mechanics aims to give a realist description of quantum phenomena in terms of the motion of point-like particles following well-defined trajectories. This work is concerned by the de…

Quantum Physics · Physics 2008-02-04 A. Matzkin , V. Nurock

Bohmian mechanics is an interpretation of quantum mechanics that describes the motion of quantum particles with an ensemble of deterministic trajectories. Several attempts have been made to utilize Bohmian trajectories as a computational…

Quantum Physics · Physics 2018-08-24 Tarek A. Elsayed , Klaus Mølmer , Lars Bojer Madsen