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The formalism of quantum mechanics is presented in a way that its interpretation as a classical field theory is emphasized. Two coupled real fields are defined with given equations of motion. Densities and currents associated to the fields…

量子物理 · 物理学 2007-05-23 A. C. de la Torre , A. Daleo

It is first shown that when the Schr\"{o}dinger equation for a wave function is written in the polar form, complete information about the system's {\em quantum-ness} is separated out in a single term $Q$, the so called `quantum potential'.…

量子物理 · 物理学 2018-01-09 Partha Ghose

We describe rigorous quantum measurement theory in the Heisenberg picture by applying operator deformation techniques previously used in noncommutative quantum field theory. This enables the conventional observables (represented by…

数学物理 · 物理学 2014-03-24 Andreas Andersson

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…

物理学史与哲学 · 物理学 2024-03-12 Andrea Oldofredi

We show how quantum mechanics can be understood as a space-time theory provided that its spatial continuum is modelled by a variable real number (qrumber) continuum. Such a continuum can be constructed using only standard Hilbert space…

量子物理 · 物理学 2007-05-23 J. Corbett , T. Durt

Many theoretical predictions derived from quantum mechanics have been confirmed experimentally during the last 80 years. However, interpretative aspects have long been subject to debate. Among them, the question of the existence of hidden…

物理学史与哲学 · 物理学 2010-07-06 B. Berche , C. Chatelain , C. Dufour , T. Gourieux , D. Karevski

Bohmian mechanics is a realistic interpretation of quantum theory. It shares the same ontology of classical mechanics: particles following continuous trajectories in space through time. For this ontological continuity, it seems to be a good…

量子物理 · 物理学 2016-03-11 Davide Romano

Measurement is an important scientific activity. In most of science, including classical physics, is may be understood as a way of finding out about the physical world and representing the results numerically. No-go theorems show that…

量子物理 · 物理学 2026-05-18 Richard Healey

Here I explore a novel no-collapse interpretation of quantum mechanics which combines aspects of two familiar and well-developed alternatives, Bohmian mechanics and the many-worlds interpretation. Despite reproducing the empirical…

量子物理 · 物理学 2015-04-03 Charles Sebens

The field of interpretation of quantum mechanics emerged in an attempt to solve the measurement problem. This turned on the perception that Niels Bohr avoided addressing the measurement problem by taking an instrumentalist view of quantum…

物理学史与哲学 · 物理学 2023-08-03 Govind Krishnan.

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…

量子物理 · 物理学 2011-11-09 A. S. Sanz , S. Miret-Artes

.We expound an alternative to the Copenhagen interpretation of the formalism of nonrelativistic quantum mechanics. The basic difference is that the new interpretation is formulated in the language of epistemological realism. The {\psi}…

量子物理 · 物理学 2019-07-18 Arthur Jabs

We start with a discussion of the use of mathematics to model the real world then justify the role of Hilbert space formalism for such modelling in the general context of quantum logic. Following this, the incompleteness of the…

量子物理 · 物理学 2024-03-21 Matthew F. Brown

In their Erratum [Phys. Rev. Lett. {\bf 92}, 119902 (2004), quant-ph/0208076], written in reaction to [quant-ph/0310164], Bender, Brody and Jones propose a revised definition for a physical observable in PT-symmetric quantum mechanics. We…

量子物理 · 物理学 2007-05-23 Ali Mostafazadeh

Superconductivity is macroscopic quantum phenomenon. From force of habit most physicists pay no heed to a paradoxicality of this fact. Niels Bohr considered quantum mechanics as atomic physics and the paradoxical quantum principles may be…

超导电性 · 物理学 2009-11-13 Alexey Nikulov

Quantum mechanics describes successfully numerous quantum phenomena both microscopic and macroscopic, such as superconductivity. But the controversies about quantum mechanics, in the old days and present day, reveal fundamental obscurity in…

物理学史与哲学 · 物理学 2013-11-20 Alexey Nikulov

The major conceptual difficulties of quantum mechanics are analyzed. They are: the notion "wave-particle", the probabilistic interpretation of the Schroedinger wave \psi-function and hence the probability amplitude and its phase, long-range…

量子物理 · 物理学 2007-05-23 Volodymyr Krasnoholovets

Recently foundational issues of applicability of the formalism of quantum mechanics (QM) to cognitive psychology, decision making, and psychophysics attracted a lot of interest. In particular, in \cite{DKBB} the possibility to use of the…

神经元与认知 · 定量生物学 2014-12-30 Andrei Khrennikov , Irina Basieva

The concept of intrinsic and operational observables in quantum mechanics is introduced. In any realistic description of a quantum measurement that includes a macroscopic detecting device, it is possible to construct from the statistics of…

量子物理 · 物理学 2016-09-08 B. G. Englert , K. Wodkiewicz

A characteristical property of a classical physical theory is that the observables are real functions taking an exact outcome on every (pure) state; in a quantum theory, at the contrary, a given observable on a given state can take several…

量子物理 · 物理学 2015-06-26 Antonio Cassa