Mathematical theory of Feynman path integrals/ by 172252 Albeverio, Sergio

Feynman path integrals for discrete-variable systems: Walks on Hamiltonian graphs by Amir Kalev, Itay Hen

“…We propose a natural, parameter-free, discrete-variable formulation of Feynman path integrals. We show that for discrete-variable quantum systems, Feynman path integrals take the form of walks on the graph whose weighted adjacency matrix is the Hamiltonian. …”
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Feynman path integrals : proceedings of the internaional colloquim held in Marseille, May 1978 by Albeverio, G. Rideau

Motivation to Run in One-Day Cricket by Paramahansa Pramanik, Alan M. Polansky

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Continuous-Discrete Path Integral Filtering by Bhashyam Balaji

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Euclidean Quantum Mechanics and Universal Nonlinear Filtering by Bhashyam Balaji

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The Geometry of Black Hole Singularities by Ovidiu Cristinel Stoica

“…Since black hole singularities are accompanied by dimensional reduction, this should affect Feynman's path integrals. Therefore, it is expected that singularities induce dimensional reduction effects in Quantum Gravity. …”
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A graph theoretic approach to matrix functions and quantum dynamics by Giscard, P

“…Walk-sum describes the dynamics of a quantum system as resulting from the coherent superposition of its histories, a discrete analogue to the Feynman path-integrals. Using walk-sum we simulate the dynamics of quantum random walks and of Rydberg-excited Mott insulators. …”

Penyelesaian kamiran nyata bagi persamaan resapan kompleks berpotensi kuadratik teritlak kompleks by Mohamad Zain, Shaharir, Abdul Aziz, Zainal

“…The real integral solution conforms to the idea of the Feynman path integral…”
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Glimpse on the relationship between Feynman integral and integrable system by Abdul Aziz, Zainal

“…This constitutes an endeavour on our part in making the Feynman path integral into a mathematically meaningful entity.…”
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Mathematical Fundamentals of Modern Linear Optics by Andrey V. Gitin

“…All known quantum-mechanical approaches to wave and statistical optics are united into a single theory, using Feynman's path integral as a fundamental principle. In short-wave approximations, this principle, the Fourier transformations, and concepts of the theory reproduce Fermat's principle, the Legendre transformations, and concepts of Hamilton's optics and radiometry in a one-to-one fashion.…”
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A Quantum-Type Approach to Non-Life Insurance Risk Modelling by Claude Lefèvre, Stéphane Loisel, Muhsin Tamturk, Sergey Utev

“…The following methodology relies on the Dirac matrix formalism and the Feynman path-integral method.…”
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Measuring the deviation from the superposition principle in interference experiments by G Rengaraj, U Prathwiraj, Surya Narayan Sahoo, R Somashekhar, Urbasi Sinha

“…The Feynman path integral formalism has long been used for calculations of probability amplitudes. …”
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Interaction between Everett Worlds and Fundamental Decoherence in Non-Unitary Newtonian Gravity by Filippo Maimone, Adele Naddeo, Giovanni Scelza

“…It is shown that the non-unitary Newtonian gravity (NNG) model admits a simple interpretation in terms of the Feynman path integral, in which the sum over all possible histories is replaced by a summation over pairs of paths. …”
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Quantum Oscillator at Temperature <i>T</i> and the Evolution of a Charged-Particle State in the Electric Field in the Probability Representation of Quantum Mechanics by Margarita A. Man’ko, Vladimir I. Man’ko

“…The relation of the Feynman path integral to the probability representation of quantum mechanics is established.…”
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Symplectic quantization: A new deterministic approach to the dynamics of quantum fields inspired by statistical mechanics* by Giachello Martina, Gradenigo Giacomo

“…From the pseudo-Hamiltonian dynamics one is then able, assuming ergodicity, to retrieve the Feynman path integral as the Fourier transform of a pseudo-microcanonical partition function.…”
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The exact connection between the feynman integral and a completely integrable system by Abdul Aziz, Zainal

“…This constitutes an endeavour on our part in making the Feynman path integral into a mathematically meaningful entity. …”
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‘Classical’ coherent state generated by curved surface by Weifeng Ding, Zhaoying Wang

“…By generalizing the method of Feynman path integral, an equivalent coherent states solution is demonstrated to describe the beam propagation. …”
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Towards Large-scale Functional Verification of Universal Quantum Circuits by Matthew Amy

“…We introduce a framework for the formal specification and verification of quantum circuits based on the Feynman path integral. Our formalism, built around exponential sums of polynomial functions, provides a structured and natural way of specifying quantum operations, particularly for quantum implementations of classical functions. …”
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Dynamics of nonabelian Dirac monopoles by Faridani, J, Jacqueline Faridani

“…For the case of quantum monopoles the Feynman path-integral approach is used.</p>…”