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A calculation of the classical analogue for the quantum wave function and local denity of states, in energy representation, is presented for simple Hamiltonian systems. Sucha analogous were proposed by M. V. Berry and A. voros considering…

Chaotic Dynamics · Physics 2012-12-24 H. Hernández-Saldaña

Tim Maudlin has argued that the standard formulation of quantum mechanics fails to provide a clear ontology and dynamics and that the de Broglie--Bohm pilot-wave theory offers a better completion of the formalism, more in line with…

Quantum Physics · Physics 2026-01-13 Partha Ghose

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

Quantum mechanical wave functions of N identical fermions are usually represented as anti-symmetric functions of ordered configurations. Leinaas and Myrheim proposed how a fermionic wave function can be represented as a function of…

Quantum Physics · Physics 2014-03-18 Sheldon Goldstein , James Taylor , Roderich Tumulka , Nino Zanghi

In quantum mechanics, spatial wavefunctions describe distributions of a particle's position or momentum, but not of angular momentum $j$. In contrast, here we show that a spatial wavefunction, $j_m (\phi,\theta,\chi)=~e^{i m \phi} \delta…

Quantum Physics · Physics 2024-03-06 T. Peter Rakitzis , Michail E. Koutrakis , George E. Katsoprinakis

Functionalism is the view that being x is to play the role of x. This paper defends a functionalist account of three-dimensional entities in the context of Wave Function Realism (WFR), that can explain in detail how we can recover…

History and Philosophy of Physics · Physics 2022-11-09 Lorenzo Lorenzetti

Counterfactual quantum cryptography (CQC) is used here as a tool to assess the status of the quantum state: Is it real/ontic (an objective state of Nature) or epistemic (a state of the observer's knowledge)? In contrast to recent approaches…

Quantum Physics · Physics 2014-07-08 Akshata Shenoy H. , R. Srikanth

Semi-classical theories are approximations to quantum theory that treat some degrees of freedom classically and others quantum mechanically. In the usual approach, the quantum degrees of freedom are described by a wave function which…

Quantum Physics · Physics 2020-06-03 Ward Struyve

After the development of a self-consistent quantum formalism nearly a century ago there began a quest for how to interpret the theoretical constructs of the formalism. In fact, the pursuit of new interpretations of quantum mechanics…

History and Philosophy of Physics · Physics 2018-01-22 Stephen Boughn

There exists a paradigm in which Quantum Mechanics is an exclusively developed theory to explain phenomena on a microscopic scale. As the Planck's constant is extremely small, $h\sim10^{-34}{J.s}$, and as in the relation of de Broglie the…

General Physics · Physics 2012-02-10 N. Poveda T. , N. Vera-Villamizar

Wave-like partial differential equations occur in many engineering applications. Here the engineering setup is embedded into the Hilbert space framework of functional analysis of modern mathematical physics. The notion wave-like is a…

Mathematical Physics · Physics 2024-05-07 Reinhard Honegger , Michael Lauxmann , Barbara Priwitzer

Physical meaning and a duality of concepts of wave function, action functional, entropy, the Pointing vector, the Einstein tensor and so on can be disclosed by investigating the state of material systems such as thermodynamic and gas…

General Physics · Physics 2010-01-12 L. I. Petrova

We propose an interpretative framework for quantum mechanics corresponding to the specifications of Louis de Broglie's double-solution theory. The principle is to decompose the evolution of a quantum system into two wave functions: an…

Quantum Physics · Physics 2020-01-15 Michel Gondran , Alexandre Gondran

The old cosmological-constant (CC) problem indicates an inconsistency of the usual formulation of semiclassical gravity. The usual formulation of semiclassical gravity also seems to be inconsistent with the conventional interpretation of…

General Relativity and Quantum Cosmology · Physics 2007-05-23 H. Nikolic

An assessment is given as to the extent to which pure unitary evolution, as distinct from environmental decohering interaction, can provide the transition necessary for an observer to interpret perceived quantum dynamics as classical. This…

Quantum Physics · Physics 2021-10-05 John S. Briggs

The Hamilton-Jacobi equation of classical mechanics is approached as a model reduction of conservative particle mechanics where the velocity degrees-of-freedom are eliminated. This viewpoint allows an extension of the association of the…

Mathematical Physics · Physics 2026-04-03 Amit Acharya

The manipulation of mechanical waves is a long-standing challenge for scientists and engineers, as numerous devices require their control. The current forefront of research in the control of classical waves has emerged from a seemingly…

Classical Physics · Physics 2024-07-04 Johan Christensen , Michael R. Haberman , Ankit Srivastava , Guoliang Huang , Gal Shmuel

It is shown that neither the wave picture nor the ordinary particle picture offers a satisfactory explanation of the double-slit experiment. The Physicists who have been successful in formulating theories in the Newtonian Paradigm with its…

General Physics · Physics 2010-06-25 Nalin de Silva

We begin by discussing ``What exists?'', i.e. ontology, in Classical Physics which provided a description of physical phenomena at the macroscopic level. The microworld however necessitates a introduction of Quantum ideas for its…

Quantum Physics · Physics 2007-05-23 Virendra Singh

Wave functions live on configuration space. Schrodinger called this entanglement. The linearity of the Schrodinger equation prevents the wave function from representing reality. If the equation were non-linear (e.g., reduction models) the…

Quantum Physics · Physics 2011-05-09 Maurice Passman , Philip V. Fellman , Jonathan Vos Post
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