Results 21 to 30 of about 169,346 (282)
Path Integrals and Parastatistics [PDF]
, 1996 The propagator and corresponding path integral for a system of identical particles obeying parastatistics are derived. It is found that the statistical weights of topological sectors of the path integral for parafermions and parabosons are simply related
Alexios P. Polychronakos +32 more
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Spin Path Integrals and Generations [PDF]
, 2010 The spin of a free electron is stable but its position is not. Recent quantum information research by G. Svetlichny, J. Tolar, and G. Chadzitaskos have shown that the Feynman \emph{position} path integral can be mathematically defined as a product of ...
A. Messiah +17 more
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Path integrals: From quantum mechanics to photonics
APL Photonics, 2021 The path integral formulation of quantum mechanics, i.e., the idea that the evolution of a quantum system is determined as a sum over all the possible trajectories that would take the system from the initial to its final state of its dynamical evolution,
Charles W. Robson +3 more
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Hilbert Spaces from Path Integrals [PDF]
, 2010 It is shown that a Hilbert space can be constructed for a quantum system starting from a framework in which histories are fundamental. The Decoherence Functional provides the inner product on this "History Hilbert space".
Belavkin V P +21 more
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Symmetric reduction of high-multiplicity one-loop integrals and maximal cuts
Journal of High Energy Physics, 2021 We derive useful reduction formulae which express one-loop Feynman integrals with a large number of external momenta in terms of lower-point integrals carrying easily derivable kinematic coefficients which are symmetric in the external momenta.
Guy R. Jehu
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User's guide to Monte Carlo methods for evaluating path integrals [PDF]
, 2018 We give an introduction to the calculation of path integrals on a lattice, with the quantum harmonic oscillator as an example. In addition to providing an explicit computational setup and corresponding pseudocode, we pay particular attention to the ...
Dürr, S +3 more
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Semiclassical Series from Path Integrals [PDF]
, 1999 We derive the semiclassical series for the partition function in Quantum Statistical Mechanics (QSM) from its path integral representation. Each term of the series is obtained explicitly from the (real) minima of the classical action. The method yields a
Cavalcanti, R. M., de Carvalho, C. A. A.
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Three dimensional Green's function for ship motion at forward speed
International Journal of Mathematics and Mathematical Sciences, 1990 The Green's function formulation for ship motion at forward speed contains double integrals with singularities in the path of integrations with respect to the wave number.
Matiur Rahman
doaj +1 more source
Damage Creep Model of Viscoelastic Rock Based on the Distributed Order Calculus
Applied Sciences, 2023 In this paper, the distributed order calculus was used to establish a creep damage theoretical model to accurately describe the creep properties of viscoelastic materials.
Ming Li +6 more
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Integrals over Products of Distributions and Coordinate Independence of Zero-Temperature Path Integrals [PDF]
, 2002 In perturbative calculations of quantum-statistical zero-temperature path integrals in curvilinear coordinates one encounters Feynman diagrams involving multiple temporal integrals over products of distributions, which are mathematically undefined.
't Hooft +13 more
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