A centennial reappraisal of Heisenberg's Quantum Mechanics with a perspective on Einstein's Quantum Riddle

• URL: http://arxiv.org/abs/2308.04199v1
• Date: Tue, 8 Aug 2023 11:59:47 GMT
• Title: A centennial reappraisal of Heisenberg's Quantum Mechanics with a perspective on Einstein's Quantum Riddle
• Authors: Tuck C. Choy
• Abstract summary: 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.
• Score: 0.0
• License: http://creativecommons.org/licenses/by-nc-nd/4.0/
• Abstract: Heisenberg's breakthrough in his July 1925 paper that set in motion the development of Quantum Mechanics through subsequent papers by Born, Jordan, Heisenberg and also Dirac (from 1925 to 1927) is reexamined through a modern lens. In this paper, we shall discuss some new perspectives on (i) what could be the guiding intuitions for his discoveries and (ii) the origin of the Born-Jordan-Heisenberg canonical quantization rule. From this vantage point we may get an insight into Einstein's Quantum Riddle (Lande1974,Sommerfeld1918,Born1926) and a possible glimpse of what might come next after the last 100 years of Heisenberg's quantum mechanics.

Related papers

• Tensorial Quantum Mechanics: Back to Heisenberg and Beyond [0.0]
  We will argue that while Heisenberg's approach was consistently developed, Dirac's axiomatic re-formulation was, instead, developed. We will present a new tensorial proposal which -- taking as a standpoint Heisenberg's original approach -- will prove capable.
  arXiv  Detail & Related papers  (2024-10-12T13:52:26Z)
• Quantumness and quantum to classical transition in the generalized Rabi model [17.03191662568079]
  We define the quantumness of a Hamiltonian by the free energy difference between its quantum and classical descriptions. We show that the Jaynes-Cummings and anti Jaynes-Cummings models exhibit greater quantumness than the Rabi model.
  arXiv  Detail & Related papers  (2023-11-12T18:24:36Z)
• Relational Quantum Mechanics is Still Incompatible with Quantum Mechanics [0.0]
  We show that a central concept in Quantum Mechanics, are inconsistent with Quantum Mechanics. Our work has been criticized by Cavalcanti, Di Biagio, Rovelli (CDR)
  arXiv  Detail & Related papers  (2023-10-27T09:34:17Z)
• Unraveling the Mystery of Quantum Measurement with A New Space-Time Approach to Relativistic Quantum Mechanics [9.116661570248171]
  Quantum measurement is a fundamental concept in the field of quantum mechanics. Despite its significance, four fundamental issues continue to pose significant challenges to the broader application of quantum measurement. We employ a new space-time approach to relativistic quantum mechanics to address these issues systematically.
  arXiv  Detail & Related papers  (2023-06-01T13:25:08Z)
• Quantum Computing by Quantum Walk on Quantum Slide [9.087383504015682]
  Continuous-time quantum walk is one of the alternative approaches to quantum computation. We show how quantum slide can be further applied to realize universal quantum computation.
  arXiv  Detail & Related papers  (2022-11-16T04:19:13Z)
• 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)
• Give quantum mechanics a chance: use relativistic quantum mechanics to analyze measurement! [0.0]
  We show that with the more modern quantum theory, quantum measurement could have been analyzed along more conventional lines in a one-world cosmology. Bell criticized the Everett-DeWitt theory quite sharply in 1987 but this seems not to have affected the acceptance of the old quantum mechanics as the framework for analysis of measurement.
  arXiv  Detail & Related papers  (2021-06-14T16:04:35Z)
• 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)
• 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)
• Quantum time dilation: A new test of relativistic quantum theory [91.3755431537592]
  A novel quantum time dilation effect is shown to arise when a clock moves in a quantum superposition of two relativistic velocities. This effect is argued to be measurable using existing atomic interferometry techniques, potentially offering a new test of relativistic quantum theory.
  arXiv  Detail & Related papers  (2020-04-22T19:26:53Z)
• Quantization Conditions, 1900-1927 [0.0]
  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.
  arXiv  Detail & Related papers  (2020-03-10T00:03:26Z)

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.