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Bohmian mechanics is a theory that provides a consistent explanation of quantum phenomena in terms of point particles whose motion is guided by the wave function. In this theory, the state of a system of particles is defined by the actual…

Quantum Physics · Physics 2016-10-05 Albert Solé , Xavier Oriols , Damiano Marian , Nino Zanghì

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

We formulate Bohmian mechanics (BM) such that the main objects of concern are macroscopic phenomena, while microscopic particle trajectories only play an auxiliary role. Such a formulation makes it easy to understand why BM always makes the…

Quantum Physics · Physics 2020-03-12 H. Nikolic

The proposal that the interaction between a macroscopic body and its environment plays a crucial role in producing the correct classical limit in the Bohm interpretation of quantum mechanics is investigated, in the context of a model of…

Quantum Physics · Physics 2007-05-23 D. M. Appleby

Bohmian mechanics is the most naively obvious embedding imaginable of Schr\"odinger's equation into a completely coherent physical theory. It describes a world in which particles move in a highly non-Newtonian sort of way, one which may at…

Quantum Physics · Physics 2008-11-26 K. Berndl , M. Daumer , D. Dürr , S. Goldstein , N. Zanghi

We consider the problem of whether there are deterministic theories describing the evolution of an individual physical system in terms of the definite trajectories of its constituent particles and which stay in the same relation to Quantum…

Quantum Physics · Physics 2022-10-12 E. Deotto , G. C. Ghirardi

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

Bohmian mechanics can be generalized to a relativistic theory without preferred foliation, with a price of introducing a puzzling concept of spacetime probability conserved in a scalar time. We explain how analogous concept appears…

Quantum Physics · Physics 2013-10-01 H. Nikolic

We argue that it is logically possible to have a sort of both reality and locality in quantum mechanics. To demonstrate this, we construct a new quantitative model of hidden variables (HV's), dubbed solipsistic HV's, that interpolates…

Quantum Physics · Physics 2013-03-18 H. Nikolic

Beyond their use as numerical tools, quantum trajectories can be ascribed a degree of reality in terms of quantum measurement theory. In fact, they arise naturally from considering continuous observation of a damped quantum system. A…

Quantum Physics · Physics 2009-11-10 H. M. Wiseman

We develop a general formulation of quantum statistical mechanics in terms of probability currents that satisfy continuity equations in the multi-particle position space, for closed and open systems with a fixed number of particles. The…

Quantum Physics · Physics 2024-04-19 Hrvoje Nikolic

We analyze the dynamics of a quantum particle in a one-dimensional bistable potential within the framework of Bohm's quantum mechanics. We give arguments that evidence the fallacy of certain claims found in the literature dealing with the…

Quantum Physics · Physics 2026-04-29 O. F. de Alcantara Bonfim

Bohmian mechanics offers a deterministic alternative to conventional quantum theory through well-defined particle trajectories. While successful in nonrelativistic contexts, its extension to curved spacetime-and hence quantum…

General Relativity and Quantum Cosmology · Physics 2025-02-13 Mohamed Hatifi

We show that in the framework of one-dimensional Bohmian Quantum Mechanics[1], for a particle subject to a potential undergoing a weak adiabatic change, the time averages of the particle's positions typically differ markedly from the…

Quantum Physics · Physics 2009-11-10 Yakir Aharonov , Noam Erez , Marlan O. Scully

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

de Broglie-Bohm theory (dBBT), treating quantum particles as point objects moving along well defined (Bohmian) trajectories, offers an appealing solution of the measurement problem in quantum mechanics; it has, however, problems relating to…

Quantum Physics · Physics 2025-12-09 Tulsi Dass

A type of mechanics will be presented that possesses some distinctive properties. On the one hand, its physical description & rules of operation are readily comprehensible & intuitively clear. On the other, it fully satisfies all observable…

Quantum Physics · Physics 2026-02-05 Eric Tesse

We present our model of an Emergent Quantum Mechanics which can be characterized by "realism without pre-determination". This is illustrated by our analytic description and corresponding computer simulations of Bohmian-like "surreal"…

Quantum Physics · Physics 2016-04-01 Johannes Mesa Pascasio , Siegfried Fussy , Herbert Schwabl , Gerhard Groessing

A source of much difficulty and confusion in the interpretation of quantum mechanics is a ``naive realism about operators.'' By this we refer to various ways of taking too seriously the notion of operator-as-observable, and in particular to…

Quantum Physics · Physics 2007-05-23 Martin Daumer , Detlef Dürr , Sheldon Goldstein , Nino Zangh\`ı

Weak values, obtained from weak measurements, attempt to describe the properties of a quantum system as it evolves from an initial to a final state, without practically altering this evolution. Trajectories can be defined from weak…

Quantum Physics · Physics 2015-07-09 Alex Matzkin