• Thumbnail for Path integral formulation
    The path integral formulation is a description in quantum mechanics that generalizes the stationary action principle of classical mechanics. It replaces...
    86 KB (14,263 words) - 07:24, 11 August 2024
  • Functional integration, the integral of a functional over a space of curves Path integral formulation, Richard Feynman's formulation of quantum mechanics using...
    421 bytes (86 words) - 21:54, 20 August 2023
  • Thumbnail for Feynman diagram
    closely tied to the functional integral formulation of quantum mechanics, also invented by Feynman—see path integral formulation. The naïve application of...
    93 KB (16,023 words) - 09:51, 18 August 2024
  • derivative Functional integral Hamiltonian mechanics Lagrangian Lagrangian mechanics Measure (physics) Noether's theorem Path integral formulation Principle of...
    23 KB (2,991 words) - 09:00, 6 August 2024
  • Thumbnail for Double-slit experiment
    experiment can illustrate the path integral formulation of quantum mechanics provided by Feynman. The path integral formulation replaces the classical notion...
    76 KB (8,533 words) - 16:26, 2 August 2024
  • polarization and of the electron vertex function in QED. In the path integral formulation, the Ward–Takahashi identities are a reflection of the invariance...
    10 KB (1,658 words) - 09:14, 2 June 2024
  • Thumbnail for Quantum field theory
    define. However, through both the canonical quantization formulation and the path integral formulation, it is possible to express it through an infinite perturbation...
    106 KB (14,897 words) - 17:13, 18 August 2024
  • possible at the same time. According to the Feynman path-integral formulation of quantum mechanics, the path of the quantum object is described mathematically...
    8 KB (1,213 words) - 02:53, 25 May 2024
  • Thumbnail for Richard Feynman
    an American theoretical physicist, known for his work in the path integral formulation of quantum mechanics, the theory of quantum electrodynamics, the...
    126 KB (14,488 words) - 20:43, 14 August 2024
  • This article relates the Schrödinger equation with the path integral formulation of quantum mechanics using a simple nonrelativistic one-dimensional single-particle...
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  • Thumbnail for Gaussian integral
    the ground state of the harmonic oscillator. This integral is also used in the path integral formulation, to find the propagator of the harmonic oscillator...
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  • Thumbnail for Euler spiral
    take a gradual bend shape resembling an Euler spiral. In the path integral formulation of quantum mechanics, the probability amplitude for propagation...
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  • condensed matter computer simulation techniques that make use of the path integral formulation including Centroid Molecular Dynamics (CMD), Ring Polymer Molecular...
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  • action in Richard Feynman's path integral formulation and responsible for the theory interactions. In Julian Schwinger's formulation the source is responsible...
    41 KB (8,733 words) - 20:10, 10 June 2024
  • Thumbnail for Faddeev–Popov ghost
    gauge quantum field theories to maintain the consistency of the path integral formulation. They are named after Ludvig Faddeev and Victor Popov. A more...
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  • problems numerically within the path integral formulation. The application of Monte Carlo methods to path integral simulations of condensed matter systems...
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  • application see Relation between Schrödinger's equation and the path integral formulation of quantum mechanics) ∫ − ∞ ∞ exp ⁡ ( 1 2 i a x 2 + i J x ) d...
    29 KB (5,991 words) - 16:10, 24 April 2024
  • Thumbnail for Wiener process
    Langevin equations. It also forms the basis for the rigorous path integral formulation of quantum mechanics (by the Feynman–Kac formula, a solution to...
    35 KB (5,899 words) - 19:42, 30 July 2024
  • mathematics, a line integral is an integral where the function to be integrated is evaluated along a curve. The terms path integral, curve integral, and curvilinear...
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  • Thumbnail for Quantum mechanics
    by Erwin Schrödinger). An alternative formulation of quantum mechanics is Feynman's path integral formulation, in which a quantum-mechanical amplitude...
    98 KB (12,084 words) - 11:03, 1 August 2024
  • Thumbnail for Lagrangian mechanics
    discovered the path integral formulation extending the principle of least action to quantum mechanics for electrons and photons. In this formulation, particles...
    90 KB (14,229 words) - 15:08, 6 August 2024
  • Thumbnail for Fokker–Planck equation
    (2008). Every Fokker–Planck equation is equivalent to a path integral. The path integral formulation is an excellent starting point for the application of...
    35 KB (6,474 words) - 16:37, 5 March 2024
  • Thumbnail for Schrödinger equation
    predictions. Other formulations of quantum mechanics include matrix mechanics, introduced by Werner Heisenberg, and the path integral formulation, developed chiefly...
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  • superficially different from the path integral formulation where the action is a classical function, the modern formulation of the two formalisms are identical...
    4 KB (451 words) - 20:48, 29 December 2023
  • theories, the partition function is heavily exploited in the path integral formulation, with great success, leading to many formulas nearly identical...
    20 KB (3,399 words) - 03:50, 15 May 2024
  • be constructed from the action of the system by means of the path integral formulation. Loop quantum gravity (loop quantization) Uncertainty principle...
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  • variational principle Minimal surface Morse theory Noether's theorem Path integral formulation Plateau's problem Prime geodesic Principle of least action Soap...
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  • Public Investment Fund, Saudi Arabia's sovereign wealth fund Path integral formulation, an approach to quantum mechanics PCF Interframe Space Pingelapese...
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  • wave–particle duality and a non-technical description of the path integral formulation of quantum mechanics, the book explains the uncertainty principle...
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  • Thumbnail for Instanton
    use of path integrals allows an instanton interpretation and the same result can be obtained with this approach. In path integral formulation, the transition...
    39 KB (6,383 words) - 07:54, 6 July 2024