Results 1 to 10 of about 72,880 (178)
Stochastic Path-Integral Analysis of the Continuously Monitored Quantum Harmonic Oscillator [PDF]
PRX Quantum, 2022 We consider the evolution of a quantum simple harmonic oscillator in a general Gaussian state under simultaneous time-continuous weak position and momentum measurements.
Tathagata Karmakar +2 more
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Kajian Integral Lintasan Levy dalam Mekanika Kuantum Fraksional untuk Membentuk Persamaan Schrodinger Fraksional [PDF]
Risenologi, 2020 The implementation of Lévy path integral generated by Lévy stochastic process on fractional Schrödinger equation has been investigated in the framework of fractional quantum mechanics.
Chandra Halim, M. Farchani Rosyid
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Motion of Quantum Particles in Terms of Probabilities of Paths [PDF]
EntropyThe Feynman path integral formalism for non-relativistic quantum mechanics is revisited. A comparison is made with cases of light propagation (Huygens’ principle) and Brownian motion. The difficulties for a physical model applying Feynman’s formalism are
Emilio Santos
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New Journal of Physics, 2022 Here we present a novel stochastic Liouville equation with piecewisely correlated noises, in which the inter-piece correlation is rigorously incorporated by a convolution integral involving functional derivatives.
Yun-An Yan, Xiao Zheng, Jiushu Shao
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Classical and quantum stochastic thermodynamics [PDF]
Revista Brasileira de Ensino de Física, 2020 The stochastic thermodynamics provides a framework for the description of systems that are out of thermodynamic equilibrium. It is based on the assumption that the elementary constituents are acted by random forces that generate a stochastic dynamics ...
Mário J. de Oliveira
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Quantum stochastic integrals as belated integrals [PDF]
Glasgow Mathematical Journal, 1992 Quantum stochastic integrals have been constructed in various contexts [2, 3, 4, 5, 9] by adapting the construction of the classical L2-Itô-integral with respect to Brownian motion. Thus, the integral is first defined for simple integrands as a finite sum, then one establishes certain isometry relations or suitable bounds to allow the extension, by ...
Barnett, Chris +2 more
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Connecting Two Stochastic Theories That Lead to Quantum Mechanics
Frontiers in Physics, 2020 The connection is established between two theories that have developed independently with the aim to describe quantum mechanics as a stochastic process, namely stochastic quantum mechanics (sqm) and stochastic electrodynamics (sed).
Luis de la Peña +2 more
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Time-Slicing Path-integral in Curved Space [PDF]
Quantum, 2022 Path integrals constitute powerful representations for both quantum and stochastic dynamics. Yet despite many decades of intensive studies, there is no consensus on how to formulate them for dynamics in curved space, or how to make them covariant with ...
Mingnan Ding, Xiangjun Xing
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Time evolution with symmetric stochastic action
Physical Review Research, 2021 The time evolution of quantum fields is shown to be equivalent to a time-symmetric Fokker-Planck equation. Results are obtained using a Q-function representation, including fermion-fermion, boson-boson, and fermion-boson interactions with linear ...
Peter D. Drummond
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The weak field limit of quantum matter back-reacting on classical spacetime
Journal of High Energy Physics, 2023 Consistent coupling of quantum and classical degrees of freedom exists so long as there is both diffusion of the classical degrees of freedom and decoherence of the quantum system.
Isaac Layton +3 more
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