Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

arXiv:quant-ph/0108072

The Origin of the Planck's Constant

H Y Cui

Published Aug 15, 2001• 2 citations
arXivHTMLPDF

Abstract

In this paper, we discuss an equation which does not contain the Planck's constant, but it will turn out the Planck's constant when we apply the equation to the problems of particle diffraction.
DOI
10.48550/arxiv.quant-ph/0108072

Related papers

The real physical meaning Planck’s constant

Субхон Джомирзоев

It is shown how the operator of kinetic energy of a microparticle proposed by Schrödinger contains the real physical meaning Planck’s constant.

•Mar 28, 2025•0 citations

On a generalization in quantum theory: Is h Planck constant?

Ronald J. Adler, David Santiago

•Jan 1, 1999•0 citations

Classical behavior of a quantum particle in a refringent medium

V. E. Kuzmichev, V. V. Kuzmichev

Conditions under which a quantum particle can be described using classical quantities are studied. We investigate the wavefunction of a quantum particle submitted to a potential field for which all quantum effects vanish, even if Planck's constant is non-negligible. This problem is equivalent to the problem of the motion of a particle in a refringent medium. The indices of refraction of such media are found. In these media, quantum particles have classical momenta, while their wave properties are described by the wave-optics equation with a characteristic length equal to the de Broglie wavelength ƛ. In the 1D case, the particle cannot be found in the region near the origin, since the index of refraction tends to infinity there. For the 3D case with central symmetry, the wave properties are determined by a function that has a resonance of width about 2ƛ. Experimental verification of theoretical predictions is discussed.

American Journal of Physics•Jul 20, 2021•0 citations

100 Years of Quanta: Complex-Dynamical Origin of Planck's Constant and Causally Complete Extension of Quantum Mechanics

Andrei P. Kirilyuk

On 14 December 1900 Max Planck first formulated the idea of energy quanta related to a new universal constant now known as Planck's constant. Despite the following progress of thus initiated "quantum mechanics", the physical origin of both quantization and universality of Planck's constant remains mysterious, as well as other "peculiar" properties of quantum dynamics. In this paper we review a recent causal extension of quantum mechanics consistently explaining all its "mysteries" by irreducibly complex, "dynamically multivalued" behaviour of the underlying system of two interacting protofields (quant-ph/9902015, quant-ph/9902016). The theory contains no imposed postulates or entities except one, unavoidable assumption about the physical nature of the protofields. All the observed entities and their properties, starting from physically real space, time, and elementary particle structure, are consistently derived, in exact correspondence with their emergence in real, irreducibly complex system dynamics. The latter provides also natural (dynamic) unification of the causally extended versions of quantum mechanics, relativity, and field theory, including unification and causal understanding of particle interaction forces. Realism and wholeness of the obtained world picture are in agreement with the "absolute reality" quest of Max Planck and confirm his famous doubts about the conventional scheme of quantum mechanics (cf. quant-ph/9911107, quant-ph/0101129). We describe various applications of the obtained results providing successful solution to many fundamental and practical problems dangerously stagnating within conventional approaches.

arXiv:quant-ph/0012069•Dec 14, 2000•13 citations

The wave equations for oscillator with Planck's constant and with a quantum of force

A. N. Malimon

Physics and Chemistry of the Earth Part A Solid Earth and Geodesy•Jan 1, 1999•0 citations

Formulation of wave mechanics without the Planck constant ħ

A. O. Barut

Physics Letters A•Nov 1, 1992•15 citations
Conditions under which a quantum particle can be described using classical quantities are studied. We investigate the wavefunction of a quantum particle submitted to a potential field for which all quantum effects vanish, even if Planck's constant is non-negligible. This problem is equivalent to the problem of the motion of a particle in a refringent medium. The indices of refraction of such media are found. In these media, quantum particles have classical momenta, while their wave properties are described by the wave-optics equation with a characteristic length equal to the de Broglie wavelength ƛ. In the 1D case, the particle cannot be found in the region near the origin, since the index of refraction tends to infinity there. For the 3D case with central symmetry, the wave properties are determined by a function that has a resonance of width about 2ƛ. Experimental verification of theoretical predictions is discussed.
On 14 December 1900 Max Planck first formulated the idea of energy quanta related to a new universal constant now known as Planck's constant. Despite the following progress of thus initiated "quantum mechanics", the physical origin of both quantization and universality of Planck's constant remains mysterious, as well as other "peculiar" properties of quantum dynamics. In this paper we review a recent causal extension of quantum mechanics consistently explaining all its "mysteries" by irreducibly complex, "dynamically multivalued" behaviour of the underlying system of two interacting protofields (quant-ph/9902015, quant-ph/9902016). The theory contains no imposed postulates or entities except one, unavoidable assumption about the physical nature of the protofields. All the observed entities and their properties, starting from physically real space, time, and elementary particle structure, are consistently derived, in exact correspondence with their emergence in real, irreducibly complex system dynamics. The latter provides also natural (dynamic) unification of the causally extended versions of quantum mechanics, relativity, and field theory, including unification and causal understanding of particle interaction forces. Realism and wholeness of the obtained world picture are in agreement with the "absolute reality" quest of Max Planck and confirm his famous doubts about the conventional scheme of quantum mechanics (cf. quant-ph/9911107, quant-ph/0101129). We describe various applications of the obtained results providing successful solution to many fundamental and practical problems dangerously stagnating within conventional approaches.