Did Louis de Broglie miss the discovery of the Schrödinger equation?

• URL: http://arxiv.org/abs/2404.06366v1
• Date: Tue, 9 Apr 2024 15:03:10 GMT
• Title: Did Louis de Broglie miss the discovery of the Schrödinger equation?
• Authors: Aurélien Drezet,
• Abstract summary: We discuss a historical point regarding Schr"odinger's discovery of the famous quantum wave equation in 1926 following de Broglie's fundamental works published in 1923-1925 regarding the introduction of matter waves.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: In this note, we discuss a historical point regarding Schr\"odinger's discovery of the famous quantum wave equation in 1926 following de Broglie's fundamental works published in 1923-1925 regarding the introduction of matter waves. Drawing on the work of historians and personal analysis, we show that de Broglie was very close to the discovery of the Schr\"odinger equation (at least for the stationary one-electron problem).

Related papers

• Derivations of Bloch (Majorana--Bloch) equation, von Neumann equation, and Schrödinger--Pauli equation [2.1030878979833467]
  We derive the space-independent von Neumann equation for electron spin mathematically from the classical Bloch or Majorana--Bloch equation. The Schr"odinger--Pauli equation is derived in both the quantum mechanical and recently developed co-quantum dynamic frameworks.
  arXiv  Detail & Related papers  (2024-07-10T20:06:37Z)
• Analysis on the Derivation of the Schr\"odinger Equation with Analogy to Electromagnetic Wave Equation [0.4532517021515834]
  The Schr"odinger equation is universally accepted due to its excellent predictions. It does not seem to possess the simplicity of fundamental laws, such as Newton's laws of motion.
  arXiv  Detail & Related papers  (2023-10-16T01:44:36Z)
• Double-scale theory [77.34726150561087]
  We present a new interpretation of quantum mechanics, called the double-scale theory. It is based on the simultaneous existence of two wave functions in the laboratory reference frame. The external wave function corresponds to a field that pilots the center-of-mass of the quantum system. The internal wave function corresponds to the interpretation proposed by Edwin Schr"odinger.
  arXiv  Detail & Related papers  (2023-05-29T14:28:31Z)
• Quantum Turing bifurcation: Transition from quantum amplitude death to quantum oscillation death [11.353329565587574]
  We show that a homogeneous steady state is transformed into an inhomogeneous steady state through the Turing bifurcation. Our study explores the paradigmatic Turing bifurcation at the quantum-classical interface and opens up the door towards its broader understanding.
  arXiv  Detail & Related papers  (2021-06-15T05:02:54Z)
• 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)
• Discovery of the Relativistic Schr\"odinger Equation [0.0]
  We discuss the discovery of the relativistic wave equation for a spin-zero charged particle in the Coulomb field by Erwin Schr"odinger (and elaborate on why he didn't publish it).
  arXiv  Detail & Related papers  (2020-12-23T03:11:20Z)
• Observations of on-demand quantum correlation using Poisson-distributed photon pairs [12.507208769851653]
  We experimentally demonstrate the secrete of quantumness using the wave nature of single photons. No clear answer exists for what quantum entanglement should be and how to generate it.
  arXiv  Detail & Related papers  (2020-12-16T02:13:06Z)
• How do I introduce Schr\"odinger equation during the quantum mechanics course? [0.0]
  The Schr"odinger equation belongs to a special case of wave equations. The Schr"odinger equation is derived with the help of the two quantum concepts introduced by Max Planck, Einstein, and de Broglie.
  arXiv  Detail & Related papers  (2020-10-29T13:52:38Z)
• The guidance theorem of de Broglie [0.0]
  We analyze and rederive the so called guidance theorem which is a key element of the full theory. We explain why de Broglie rejected the pilot wave interpretation and advocated the double solution.
  arXiv  Detail & Related papers  (2020-06-02T19:49:41Z)
• 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)
• External and internal wave functions: de Broglie's double-solution theory? [77.34726150561087]
  We propose an interpretative framework for quantum mechanics corresponding to the specifications of Louis de Broglie's double-solution theory. The principle is to decompose the evolution of a quantum system into two wave functions. For Schr"odinger, the particles are extended and the square of the module of the (internal) wave function of an electron corresponds to the density of its charge in space.
  arXiv  Detail & Related papers  (2020-01-13T13:41:24Z)

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.