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In this work the author derives the Plank law for particles with rest mass that in the limit of photons with null rest mass leads to the known Plank law for the black body radiation. The paper shows that the relation has a pure quantum…

Quantum Physics · Physics 2015-05-22 Piero Chiarelli

The blackbody radiation problem within classical physics is reviewed. It is again suggested that conformal symmetry is the crucial unrecognized aspect, and that only scattering by classical electromagnetic systems will provide equilibrium…

Classical Physics · Physics 2010-05-17 Timothy H. Boyer

Planck's law describes the radiation of black bodies. The study of its properties is of special interest, as black bodies are a good description for the behavior of many phenomena. In this work a new mathematical study of Planck's law is…

Instrumentation and Methods for Astrophysics · Physics 2012-02-10 F. J. Ballesteros

The paper is an extension of quant-ph/9912102. The new framework is tested on the 2-photon spontaneous emission and blackbody radiation. The new effects are rather subtle. The probability of the 2-photon emission is shown to consist of a…

Quantum Physics · Physics 2008-11-26 Marek Czachor

A new microcanonical equilibrium state is introduced for quantum systems with finite-dimensional state spaces. Equilibrium is characterised by a uniform distribution on a level surface of the expectation value of the Hamiltonian. The…

Quantum Physics · Physics 2007-10-25 Dorje C. Brody , Daniel W. Hook , Lane P. Hughston

Black holes are extreme manifestations of general relativity, so one might hope that exotic quantum effects would be amplified in their vicinities, perhaps providing clues to quantum gravity. The commonly accepted treatment of quantum…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Adam D. Helfer

In the current standard viewpoint small black holes are believed to emit radiation as black bodies at the Hawking temperature, at least until they reach Planck size, after which their fate is open to conjecture. A cogent argument against…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Ronald J. Adler , Pisin Chen , David I. Santiago

Magnetic insulators have proved to be fertile ground for studying new types of quantum many body states, and I survey recent experimental and theoretical examples. The insights and methods transfer also to novel superconducting and metallic…

Strongly Correlated Electrons · Physics 2008-03-09 Subir Sachdev

We give an approach for studying quantum gravity effects on black hole thermodynamics. This combines a quantum framework for gravitational collapse with quasi-local definitions of energy and surface gravity. Our arguments suggest that (i)…

General Relativity and Quantum Cosmology · Physics 2010-05-12 Viqar Husain , R. B. Mann

The Teukolsky equation describing scattering from Kerr black holes captures a few important effects in the process of binary mergers, such as tidal deformations and the decay of ringdown modes, thereby raising interest in the structure of…

High Energy Physics - Theory · Physics 2024-11-18 Uri Kol

The Planck's radiation law for the blackbody radiation spectrum was capable to explain the experimentally-measured blackbody spectrum. In order to get this result, Planck proposed his radiation law in a two-fold way: 1) by an \textit{ad…

Quantum Physics · Physics 2023-12-15 M. A. De Andrade , L. G. Ferreira Filho , C. Neves

In this work is presented the microcanonical analysis of the blackbody radiation. In our model the electromagnetic radiation is confined in an isolated container with volume V in which the radiation can not escape, conserving this way its…

Statistical Mechanics · Physics 2007-05-23 L. Velazquez , F. Guzman

Planck's law of thermal radiation depends on the temperature, $T$, and the emissivity, $\epsilon$, of a body, where emissivity is the coupling of heat to radiation that depends on both phonon-electron nonradiative interactions and…

Optics · Physics 2025-08-21 M. Kurtulik , M. Shimanovic , T. Bar Lev , R. Weill , A. Manor , M. Shustov , C. Rotschild

The physicists of the early 20th century were unaware of two ideas which are vital to understanding some aspects of modern physics within classical theory. The two ideas are: 1) the presence of classical electromagnetic zero-point…

Classical Physics · Physics 2015-11-20 Timothy H. Boyer

The concept of the Quantum Ratio was born out of the efforts to find a simple but universal criterion if the center of mass (CM) of an isolated (microscopic or macroscopic) body behaves quantum mechanically or classically, and under which…

Quantum Physics · Physics 2025-03-04 Kenichi Konishi , Hans-Thomas Elze

By numerical calculation, the Planck spectrum with zero-point radiation is shown to satisfy a natural maximum-entropy principle whereas alternative choices of spectra do not. Specifically, if we consider a set of conducting-walled boxes,…

Classical Physics · Physics 2009-11-07 Timothy H. Boyer

A quantum mechanical description of black hole states proposed recently within non-perturbative quantum gravity is used to study the emission and absorption spectra of quantum black holes. We assume that the probability distribution of…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Kirill Krasnov

For a many-body system in equilibrium, described by a thermodynamically stable Hamiltonian, quantum criticality is associated with structural changes of the many-body ground state. However, there exist physically relevant models, notably,…

Quantum Physics · Physics 2026-05-07 Mariam Ughrelidze , Vincent P. Flynn , Emilio Cobanera , Lorenza Viola

We investigate the phenomenon of quantum radiation - i.e. the conversion of (virtual) quantum fluctuations into (real) particles induced by dynamical external conditions - for an initial thermal equilibrium state. For a resonantly vibrating…

Quantum Physics · Physics 2007-05-23 Ralf Schützhold , Günter Plunien , Gerhard Soff

Atoms and the planets acquire their stability from the quantum mechanical incompatibility of the position and momentum measurements. This incompatibility is expressed by the fundamental commutator [x, p_x]=i hbar, or equivalently, via the…

Astrophysics · Physics 2008-11-26 D. V. Ahluwalia