Quantization Conditions, 1900-1927

• URL: http://arxiv.org/abs/2003.04466v1
• Date: Tue, 10 Mar 2020 00:03:26 GMT
• Title: Quantization Conditions, 1900-1927
• Authors: Anthony Duncan, Michel Janssen
• Abstract summary: We trace the evolution of quantization conditions from Planck's introduction of a new fundamental constant (h) in 1900 to Heisenberg's interpretation of the commutation relations of modern quantum mechanics in 1927.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We trace the evolution of quantization conditions from Planck's introduction of a new fundamental constant (h) in his treatment of blackbody radiation in 1900 to Heisenberg's interpretation of the commutation relations of modern quantum mechanics in terms of his uncertainty principle in 1927.

Related papers

• From Uncertainty Relations to Quantum Acceleration Limits [0.0]
  We provide a comparative analysis of two alternative derivations for quantum systems specified by an arbitrary finite-dimensional projective Hilbert space. We find the most general conditions needed to attain the maximal upper bounds on the acceleration of the quantum evolution.
  arXiv  Detail & Related papers  (2024-10-14T19:30:01Z)
• Relaxation of first-class constraints and the quantization of gauge theories: from "matter without matter" to the reappearance of time in quantum gravity [72.27323884094953]
  We make a conceptual overview of an approach to the initial-value problem in canonical gauge theories. We stress how the first-class phase-space constraints may be relaxed if we interpret them as fixing the values of new degrees of freedom.
  arXiv  Detail & Related papers  (2024-02-19T19:00:02Z)
• A centennial reappraisal of Heisenberg's Quantum Mechanics with a perspective on Einstein's Quantum Riddle [0.0]
  Heisenberg's breakthrough in his July 1925 paper that set in motion the development of Quantum Mechanics is reexamined through a modern lens. We shall discuss some new perspectives on what could be the guiding intuitions for his discoveries and the origin of the Born-Jordan-Heisenberg canonical quantization rule.
  arXiv  Detail & Related papers  (2023-08-08T11:59:47Z)
• Matrix Mechanics Mis-Prized: Max Born's Belated Nobelization [0.0]
  We examine contributions of Matrix Mechanics and Max Born to the formulation of quantum mechanics from Heisenberg's Helgoland paper of 1925 to Born's Nobel Prize of 1954. We point out that the process of evaluation is continuing in the light of recent interpretations of the theory that deemphasize the importance of the wave function.
  arXiv  Detail & Related papers  (2023-05-21T16:33:49Z)
• Heisenberg's uncertainty principle and particle trajectories [0.0]
  We critically analyse Heisenberg's arguments against the ontology of point particles following trajectories in quantum theory. We will clarify the meaning of Heisenberg's uncertainty relation and help resolve some confusions related to it.
  arXiv  Detail & Related papers  (2022-08-20T15:25:23Z)
• Time and Evolution in Quantum and Classical Cosmology [68.8204255655161]
  We show that it is neither necessary nor sufficient for the Poisson bracket between the time variable and the super-Hamiltonian to be equal to unity in all of the phase space. We also discuss the question of switching between different internal times as well as the Montevideo interpretation of quantum theory.
  arXiv  Detail & Related papers  (2021-07-02T09:17:55Z)
• Non-equilibrium stationary states of quantum non-Hermitian lattice models [68.8204255655161]
  We show how generic non-Hermitian tight-binding lattice models can be realized in an unconditional, quantum-mechanically consistent manner. We focus on the quantum steady states of such models for both fermionic and bosonic systems.
  arXiv  Detail & Related papers  (2021-03-02T18:56:44Z)
• Phase space trajectories in quantum mechanics [0.0]
  An adapted representation of quantum mechanics sheds new light on the relationship between quantum states and classical states. In this approach the space of quantum states splits into a product of the state space of classical mechanics and a Hilbert space.
  arXiv  Detail & Related papers  (2020-08-27T06:26:21Z)
• Unraveling the topology of dissipative quantum systems [58.720142291102135]
  We discuss topology in dissipative quantum systems from the perspective of quantum trajectories. We show for a broad family of translation-invariant collapse models that the set of dark state-inducing Hamiltonians imposes a nontrivial topological structure on the space of Hamiltonians.
  arXiv  Detail & Related papers  (2020-07-12T11:26:02Z)
• Lagrangian description of Heisenberg and Landau-von Neumann equations of motion [55.41644538483948]
  An explicit Lagrangian description is given for the Heisenberg equation on the algebra of operators of a quantum system, and for the Landau-von Neumann equation on the manifold of quantum states which are isospectral with respect to a fixed reference quantum state.
  arXiv  Detail & Related papers  (2020-05-04T22:46:37Z)
• From a quantum theory to a classical one [117.44028458220427]
  We present and discuss a formal approach for describing the quantum to classical crossover. The method was originally introduced by L. Yaffe in 1982 for tackling large-$N$ quantum field theories.
  arXiv  Detail & Related papers  (2020-04-01T09:16:38Z)

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.