Quantization of the electromagnetic field, entropy of an ideal monoatomic gas, and the birth of Bose-Einstein statistics

• URL: http://arxiv.org/abs/2504.03689v1
• Date: Sun, 23 Mar 2025 08:50:53 GMT
• Title: Quantization of the electromagnetic field, entropy of an ideal monoatomic gas, and the birth of Bose-Einstein statistics
• Authors: Masud Mansuripur,
• Abstract summary: In 1924, Einstein received a short manuscript in the mail from the Indian physicist S.N. Bose.<n>He quickly translated Bose's manuscript to German and submitted it to Zeitschrift f"ur Physik.<n>This paper describes some of the fascinating issues that Einstein struggled with as he attempted to unify the quantum-statistical properties of matter with those of the electromagnetic field.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: In 1924, Einstein received a short manuscript in the mail from the Indian physicist S.N. Bose. He quickly translated Bose's manuscript to German and submitted it to Zeitschrift f\"ur Physik. Within a few weeks, Einstein presented his own findings (using a generalization of Bose's counting method) to a session of the Prussian Academy of Sciences. Whereas Bose had suggested a new counting method for the quanta of the electromagnetic field -- one that yielded Planck's blackbody radiation formula -- Einstein applied Bose's method to an ideal monoatomic gas. Shortly afterward, Einstein presented to the Academy a follow-up paper in which he described the Bose-Einstein condensation for the first time. The present paper describes some of the fascinating issues that Einstein struggled with as he attempted to unify the quantum-statistical properties of matter with those of the electromagnetic field.

Related papers

• Einstein's 1927 gedanken experiment: how to complete it and measure the collapse time of a spatially spread photon [55.2480439325792]
  Einstein discussed a gedanken experiment involving a single photon diffracted at an aperture and impinging on a screen.<n>He devised the example to support De Broglie's hypothesis of the pilot wave, and his own ideas on the incompleteness of the description of physical reality provided by Quantum Mechanics.<n> Partial realizations of Einstein's example have been performed, but the complete experiment has not been attempted (for good practical reasons) yet.
  arXiv  Detail & Related papers  (2025-03-11T18:10:12Z)
• Visualizing quantum entanglement in Bose-Einstein condensates without state vectors [0.0]
  Ring polymer self-consistent field theory is used to calculate the critical temperatures and heat capacities of an ideal Bose gas.<n>A transition indicative of Bose-Einstein condensation is observed as expected.<n>It is shown that quantum phenomena, such as Bose-Einstein condensation, boson exchange, entanglement and contextuality, can be visualized in terms of merging and separating ring polymer threads in thermal-space.
  arXiv  Detail & Related papers  (2025-01-06T18:27:46Z)
• A Theory of Quantum Jumps [44.99833362998488]
  We study fluorescence and the phenomenon of quantum jumps'' in idealized models of atoms coupled to the quantized electromagnetic field. Our results amount to a derivation of the fundamental randomness in the quantum-mechanical description of microscopic systems.
  arXiv  Detail & Related papers  (2024-04-16T11:00:46Z)
• The Story of Bose, Photon Spin and Indistinguishability [0.0]
  As we approach the centenary of the discovery of quantum statistics in 1924, it is important to revisit Bose's original derivation of Planck's law. It introduced not only the novel concept of the indistinguishability of photons but also of their intrinsic spin, a fact unknown to most physicists.
  arXiv  Detail & Related papers  (2023-06-14T07:35:50Z)
• Satyendra Nath Bose: Quantum statistics to Bose-Einstein condensation [0.0]
  Satyendra Nath Bose is one of the great Indian scientists. His work on the black body radiation or derivation of Planck's law led to quantum statistics. Albert Einstein applied Bose's idea to a gas made of atoms and predicted a new state of matter now called Bose-Einstein condensate.
  arXiv  Detail & Related papers  (2022-10-17T09:28:37Z)
• Photon-mediated Stroboscopic Quantum Simulation of a $\mathbb{Z}_{2}$ Lattice Gauge Theory [58.720142291102135]
  Quantum simulation of lattice gauge theories (LGTs) aims at tackling non-perturbative particle and condensed matter physics. One of the current challenges is to go beyond 1+1 dimensions, where four-body (plaquette) interactions, not contained naturally in quantum simulating devices, appear. We show how to prepare the ground state and measure Wilson loops using state-of-the-art techniques in atomic physics.
  arXiv  Detail & Related papers  (2021-07-27T18:10:08Z)
• Bipartite and tripartite entanglement in a Bose-Einstein acoustic black hole [0.0]
  We investigate quantum entanglement in an analogue black hole realized in the flow of a Bose-Einstein condensate. We study associated bipartite and tripartite entanglement measures and discuss their experimental observation.
  arXiv  Detail & Related papers  (2021-02-11T18:39:45Z)
• The Time-Evolution of States in Quantum Mechanics [77.34726150561087]
  It is argued that the Schr"odinger equation does not yield a correct description of the quantum-mechanical time evolution of states of isolated (open) systems featuring events. A precise general law for the time evolution of states replacing the Schr"odinger equation is formulated within the so-called ETH-Approach to Quantum Mechanics.
  arXiv  Detail & Related papers  (2021-01-04T16:09:10Z)
• Quantum dark solitons in ultracold one-dimensional Bose and Fermi gases [0.0]
  Solitons are ubiquitous phenomena that appear, among others, in the description of tsunami waves. This tutorial provides a general overview of the ultracold contact interacting Bose and Fermi systems.
  arXiv  Detail & Related papers  (2020-09-26T09:53:17Z)
• Shape of a sound wave in a weakly-perturbed Bose gas [23.87373187143897]
  We study acoustic emission generated in a uniform Bose gas by a static impurity. The impurity excites a sound-wave packet, which propagates through the gas. We calculate the shape of this wave packet in the limit of long wave lengths.
  arXiv  Detail & Related papers  (2020-04-17T06:19:29Z)
• Quantum Hall phase emerging in an array of atoms interacting with photons [101.18253437732933]
  Topological quantum phases underpin many concepts of modern physics. Here, we reveal that the quantum Hall phase with topological edge states, spectral Landau levels and Hofstadter butterfly can emerge in a simple quantum system. Such systems, arrays of two-level atoms (qubits) coupled to light being described by the classical Dicke model, have recently been realized in experiments with cold atoms and superconducting qubits.
  arXiv  Detail & Related papers  (2020-03-18T14:56:39Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.