Space-Time Approach to Non-Relativistic Quantum Mechanics

By R. Feynman. 2005

3,266 citations recorded by the source corpus.

Subfields: Atomic and Molecular Physics, and Optics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/8a0a777742559d8a1d512e4e7e97a579147d2597

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In Atomic and Molecular Physics, and Optics

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Citations in the corpus

Feynman–Kac formulas for regime-switching jump diffusions and their applications (2015, methodology): “Since the early work of Feynman [13] and Kac [19], the Feynman-Kac formulas have been extended and generalized in different directions.”
Dynamics of non-Markovian open quantum systems (2015, background): “The path integral representation, first derived by Feynman and Vernon Jr. (1963) and Feynman (1948), constitutes a very convenient framework for performing numerical simulations of quantum dynamics and equilibrium quantum statistical mechanics, considering real and imaginary time evolution…”
Non-Abelian Anyons and Interferometry (2007, background): “This fact is laid bare in the path integral formalism [14] of quantum mechanics, where the physical interpretation as a “sum over paths” makes it clear that the propagator (evolution kernel) splits into contributions from homotopically inequivalent path sectors labeled by elements of π1 (CN).”
Do We Really Understand Quantum Mechanics? (2012, methodology): “A point of comparison might be the theory of path integrals introduced by Feynman [51, 52], which is usually considered as a branch of standard quantum mechanics (§ 1.”
Ramsey-type phase control of free-electron beams (2016, background): “ulting final state is composed of a superposition of momentum sidebands associated with energy changes by ±N photon energies,25,26 populated with amplitudes A N according to 𝐴𝑁= ( 𝑔 |𝑔| ) 𝑁 𝐽𝑁(2|𝑔|), (1) where J N are the Nth-order Bessel functions. The dimensionless coupling parameter g des”
Keldysh field theory for driven open quantum systems (2015, methodology): “In the first case, a real time path integral can be constructed along the lines of Feynman’s original path integral formulation of quantum mechanics [179].”
Brownian motions on metric graphs (2011, methodology): “A complete description of the history is beyond the scope of this introduction, but in keywords we want to mention the following: The construction of Wiener space [89] and Wiener’s approach of statistical mechanics and chaos [90], Itô’s theory of stochastic integration [39] and stochastic differenti”
A Survey of Results Involving Transforms and Convolutions in Function Space (2004, background): “Feynman [25] obtained such functionals by formally integrating out the oscillator coordinates in a system involving a harmonic oscillator interacting with a particle moving in a potential.”
Geometrical Structure of Laplacian Eigenfunctions (2012, methodology): “This relation is also known as a semiclassical approximation in quantum mechanics and a ray approximation of wave propagation in optics, while the correspondence between classical and quantum systems can be shown using the WKB method, Eikonal equation, or Feynman path integrals [179, 180, 362].”
Light Hadron Masses from Lattice QCD (2012, methodology): “We start by writing the partition function of a Euclidean quantum field theory using the path integral formalism (Dirac, 1933; Feynman, 1948a,b, 1949; Feynman 3 and Hibbs, 1965) as Z = ∫ DΦe−S(Φ) (1) with the action S(Φ) and Φ generically denoting all fields of the theory.”