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A new method for the calculation of functional and path integrals [PDF]
Scientific Reports, 2023 This paper addresses a disconnect between the pivotal role of functional (path) integrals in modern theories, such as quantum mechanics and statistical thermodynamics, and the currently limited ability to perform the actual calculation.
Amos A. Hari, Sefi Givli
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Path integrals: From quantum mechanics to photonics [PDF]
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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Introduction to path-integral Quantum Field Theory – A toolbox
Revista Brasileira de Ensino de Física, 2021 Lecture notes on path-integrals, suitable for an undergraduate course with prerequisites such as: Classical Mechanics, Electromagnetism and Quantum Mechanics.
Roland Koberle
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Entropy, 2023 A short review constructing the probability representation of quantum mechanics is given, and examples of the probability distributions describing the states of quantum oscillator at temperature T and the evolution of quantum states of a charged particle
Margarita A. Man’ko +1 more
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Natural space of the micro-object
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2011 The immutability of classical dynamical laws for the microscopic object in the space which coordinate axes are the transition matrix elements of the corresponding coordinates is proved. It is stated that measurement is a micro-object localization process
Aleksey Yu Samarin
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Nonperturbative renormalization of quantum thermodynamics from weak to strong couplings
Physical Review Research, 2022 By solving the exact master equation of open quantum systems, we formulate the quantum thermodynamics from weak to strong couplings. The open quantum systems exchange matters, energies, and information with their reservoirs through quantum particle ...
Wei-Ming Huang, Wei-Min Zhang
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Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2014 A quantum path integral was transformed into the real form using a complex representation of the time. Such procedure gives the possibility to specify measures for the sets of the virtual paths in continual integrals determining amplitudes of quantum ...
Natalia V Meleshko, Alexey Yu Samarin
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Physics Didactic, Affect and Conceptualization
Review of Science, Mathematics and ICT Education, 2011 This paper discusses the relation between affects and conceptualization in physics didactics. We present a theoretical framework that has been used in an investigation about basic Quantum Mechanics teaching in the high school.
MARIA RITA OTERO +1 more
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Unraveling looping efficiency of stochastic Cosserat polymers
Physical Review Research, 2022 Understanding looping probabilities, including the particular case of ring closure or cyclization, of fluctuating polymers (e.g., DNA) is important in many applications in molecular biology and chemistry.
Giulio Corazza, Raushan Singh
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A naturally regularized path integral formalism
European Physical Journal C: Particles and Fields, 2019 A minimal uncertainty in position measurement comes into play if, for instance, one incorporates gravitational interaction of photon and electron in the Heisenberg’s Electron Microscope Gedanken Experiment.
Kourosh Nozari +3 more
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