• 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 (14,277 words) - 08:57, 19 May 2025
  • particular the path integral formulation of quantum mechanics makes use of the concept—where a physical system explores all possible paths, with the phase...
    23 KB (3,005 words) - 21:43, 9 May 2025
  • Functional integration, the integral of a functional over a space of curves Path integral formulation, Richard Feynman's formulation of quantum mechanics using...
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  • polarization and of the electron vertex function in QED. In the path integral formulation, the Ward–Takahashi identities are a reflection of the invariance...
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  • 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...
    78 KB (8,690 words) - 08:48, 18 June 2025
  • Thumbnail for Richard Feynman
    American theoretical physicist. He is best known for his work in the path integral formulation of quantum mechanics, the theory of quantum electrodynamics, the...
    130 KB (14,786 words) - 17:58, 11 June 2025
  • 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...
    107 KB (14,903 words) - 01:36, 27 May 2025
  • 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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  • 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 (15,967 words) - 18:03, 26 May 2025
  • 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 (5,874 words) - 23:58, 7 June 2025
  • possible at the same time. According to the Feynman path-integral formulation of quantum mechanics, the path of the quantum object is described mathematically...
    10 KB (1,275 words) - 02:31, 27 May 2025
  • 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 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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  • 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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  • This article relates the Schrödinger equation with the path integral formulation of quantum mechanics using a simple nonrelativistic one-dimensional single-particle...
    11 KB (2,154 words) - 14:45, 16 September 2024
  • 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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  • 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...
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  • S_{\text{source}}=J\phi .} This term appears in the action in Richard Feynman's path integral formulation and responsible for the theory interactions. In a collision reaction...
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  • quantum computer on a classical computer. It is based on the Path integral formulation of quantum mechanics, which was formulated by Richard Feynman...
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  • predictions. Other formulations of quantum mechanics include matrix mechanics, introduced by Werner Heisenberg, and the path integral formulation, developed chiefly...
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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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  • sovereign wealth fund Parity Inner Failure, a type of error on a DVD Path integral formulation, an approach to quantum mechanics PCF Interframe Space Pingelapese...
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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...
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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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  • Thumbnail for Many-worlds interpretation
    state formulation or the Everett interpretation, after physicist Hugh Everett, who first proposed it in 1957. Bryce DeWitt popularized the formulation and...
    70 KB (8,374 words) - 19:02, 16 June 2025
  • Thumbnail for Relativistic wave equations
    operator Ĥ describing the quantum system. Alternatively, Feynman's path integral formulation uses a Lagrangian rather than a Hamiltonian operator. More generally...
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  • theories, the partition function is heavily exploited in the path integral formulation, with great success, leading to many formulas nearly identical...
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  • Thumbnail for Ghost (physics)
    fields which are introduced to maintain the consistency of the path integral formulation in non-abelian gauge theories, such as the ones describing strong...
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  • sophisticated formulations of quantum mechanics, of which the ones presented here are simple special cases. Path integral formulation Phase-space formulation of...
    57 KB (7,911 words) - 18:07, 2 June 2025
  • is finite. The following formulas for Gaussian integrals are used often in the path integral formulation of quantum field theory: ∫ exp ⁡ [ − θ T A η ]...
    13 KB (2,519 words) - 15:09, 16 April 2025