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The Planck constant ($\hbar$) plays a pivotal role in quantum physics. Historically, it has been proposed as postulate, part of a genius empirical relationship $E=\hbar \omega$ in order to explain the intensity spectrum of the blackbody…

Optics · Physics 2015-05-04 Real Tremblay , Nicolas Doyon , Claudine Ni Allen

Precision measurements of quantum systems often seek to probe or must account for the interaction with blackbody radiation. Over the past several decades, much attention has been given to AC Stark shifts and stimulated state transfer. For a…

Atomic Physics · Physics 2021-04-14 Eric B Norrgard , Stephen P Eckel , Christopher L Holloway , Eric L Shirley

We discuss carefully the blackbody approximation, stressing what it is (a limit case of radiative transfer), and what it is not (the assumption that the body is perfectly absorbing, i.e. black). Furthermore, we derive the Planck spectrum…

Classical Physics · Physics 2011-12-01 Matteo Smerlak

We derive Planck's radiation law in a uniformly accelerated frame expressed in Rindler coordinates. The black-body spectrum is time-dependent by its temperature and Planckian at each instantaneous time, but it is scaled by an emissivity…

General Relativity and Quantum Cosmology · Physics 2024-09-27 Seramika Ariwahjoedi , Apriadi Salim Adam , Hadyan Luthfan Prihadi , Freddy Permana Zen

We analyze the blackbody radiation problem in the presence of quantum gravity effects encoded in modified dispersion relations. The spectral radiance and the generalized Stefan-Boltzmann law are studied in this context. Furthermore, the…

General Relativity and Quantum Cosmology · Physics 2024-11-06 R. Turcati , I. Soares , S. B. Duarte

The problem of black-body radiation is considered in the Born-Infeld theory of electrodynamics. In particular, at 2-loop order the deviation from the Planck expression due to the self-interaction of photons is calculated. It is seen that…

High Energy Physics - Theory · Physics 2011-12-12 Maryam Hajirahimi , Amir H. Fatollahi

Planck's law for black-body radiation marks the origin of quantum theory and is discussed in all introductory (or advanced) courses on this subject. However, the question whether Planck really implied quantisation is debated among…

History and Philosophy of Physics · Physics 2017-03-17 Oliver Passon , Johannes Grebe-Ellis

Hawking radiation is the proposed thermal black-body radiation of quantum nature emitted from a black hole. One common way to give an account of Hawking radiation is to consider a detector that follows a static trajectory in the vicinity of…

General Relativity and Quantum Cosmology · Physics 2024-04-08 Jerzy Paczos , Luis C. Barbado

We analyze the problem of black body radiation in the presence of quantum gravity effects encoded in modified dispersion relations and in a model universe with large extra dimensions. In this context, modified form of Planck distribution,…

High Energy Physics - Theory · Physics 2018-01-09 Kourosh Nozari , S. F. Anvari , A. S. Sefiedgar

The thermodynamical properties of the photon-plasma system had been studied using statistical physics approach. Photons develop an effective mass in the medium thus -- as a result of the finite chemical potential -- a photon Bose-Einstein…

Statistical Mechanics · Physics 2020-04-22 Peter Mati

It is shown how the study of blackbody radiation in the early twentieth century by the German physicist Max Planck gave rise to the quantum theory.

History and Philosophy of Physics · Physics 2013-08-08 Tiago Carvalho Martins

Physical research looks for clues to quantum properties of the gravitational field. On the basis of the common Schr\"odinger theory, a simple model of the quantization of a Friedmann universe comprising dust and radiation is investigated.…

General Relativity and Quantum Cosmology · Physics 2014-09-17 Rainer Collier

We develop the idea that, in quantum gravity where the horizon fluctuates, a black hole should have a discrete mass spectrum with concomitant line emission. Simple arguments fix the spacing of the lines, which should be broad but unblended.…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Jacob D. Bekenstein , V. F. Mukhanov

We discuss a mechanical model which mimics the main features of the radiation matter interaction in the black body problem. The pure classical dynamical evolution, with a simple discretization of the action variables, leads to the Stefan-…

Quantum Physics · Physics 2007-05-23 Giulio Casati

A quantum critical point develops when matter undergoes a continuous transformation between distinct ground states at absolute zero. It hosts pronounced quantum fluctuations, which render the system highly susceptible to external…

Strongly Correlated Electrons · Physics 2025-10-01 Shouvik Sur , Yiming Wang , Mounica Mahankali , Silke Paschen , Qimiao Si

The non-equilibrium-steady state (NEST) for photons in a cavity is investigated theoretically. The NEST is caused by different parts of the cavity being at distinct temperatures or by temperature gradients. By using a rate equation based on…

Optics · Physics 2014-05-29 Felix Rüting , Christoph Weiss

Classical thermodynamics is built with the concept of equilibrium states. However, it is less clear how equilibrium thermodynamics emerges through the dynamics that follows the principle of quantum mechanics. In this paper, we develop a…

Quantum Physics · Physics 2018-12-18 Md. Manirul Ali , Wei-Ming Huang , Wei-Min Zhang

Radiating black holes pose a number of puzzles for semiclassical and quantum gravity. These include the transplanckian problem -- the nearly infinite energies of Hawking particles created near the horizon, and the final state of…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Viqar Husain , Oliver Winkler

The problem of black body radiation, when measured by a moving observer, has a pivotal role in relativistic thermodynamics. Mutually, it depends on the thermodynamical definition of the thermal equilibrium and temperature of moving bodies,…

General Relativity and Quantum Cosmology · Physics 2019-09-26 Kamran Derakhshani

The quantum phase transition of the Dicke-model has been observed recently in a system formed by motional excitations of a laser-driven Bose--Einstein condensate coupled to an optical cavity [1]. The cavity-based system is intrinsically…

Quantum Physics · Physics 2011-10-26 D. Nagy , G. Szirmai , P. Domokos
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