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Published in 2019 at "Foundations of Physics"
DOI: 10.1007/s10701-020-00345-5
Abstract: The essence of the path integral method in quantum physics can be expressed in terms of two relations between unitary propagators, describing perturbations of the underlying system. They inherit the causal structure of the theory…
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Keywords:
physics path;
physics;
quantum physics;
dynamical algebras ... See more keywords
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Published in 2021 at "Foundations of Physics"
DOI: 10.1007/s10701-021-00497-y
Abstract: The proposal made 50 years ago by Schulman (1968), Laidlaw & Morette-DeWitt (1971) and Dowker (1972) to decompose the propagator according to the homotopy classes of paths was a major breakthrough: it showed how Feynman…
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Keywords:
configuration;
integrals multiply;
configuration space;
multiply connected ... See more keywords
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Published in 2021 at "Foundations of Physics"
DOI: 10.1007/s10701-021-00520-2
Abstract: Although the path-integral formalism is known to be equivalent to conventional quantum mechanics, it is not generally obvious how to implement path-based calculations for multi-qubit entangled states. Whether one takes the formal view of entangled…
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Keywords:
spacetime path;
path integrals;
entangled states;
quantum ... See more keywords
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Published in 2019 at "Mechanical Systems and Signal Processing"
DOI: 10.1016/j.ymssp.2019.04.014
Abstract: Abstract A novel approximate technique based on Wiener path integrals (WPIs) is developed for determining, in a computationally efficient manner, the non-stationary joint response probability density function (PDF) of nonlinear multi-degree-of-freedom dynamical systems. Specifically, appropriate…
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Keywords:
multi dimensional;
response;
non stationary;
global bases ... See more keywords
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Published in 2020 at "Journal of chemical theory and computation"
DOI: 10.1021/acs.jctc.9b00881
Abstract: Imaginary time path-integral (PI) simulations that account for nuclear quantum effects (NQE) beyond the harmonic approximation are increasingly employed together with modern electronic-structure calculations. Existing PI methods are applicable to molecules, liquids, and solids, however…
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Keywords:
order;
nuclear quantum;
quantum effects;
high order ... See more keywords
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2
Published in 2022 at "Physical Review B"
DOI: 10.1103/physrevb.105.024309
Abstract: It has been recently shown how the tensorial nature of real-time path integrals involving the Feynman-Vernon influence functional can be utilized using matrix product states, taking advantage of the finite length of the non-Markovian memory.…
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Keywords:
representation;
tensor;
tensor network;
path ... See more keywords
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Published in 2019 at "Physical Review E"
DOI: 10.1103/physreve.100.052122
Abstract: Fractional Levy motion has been derived from its generalized Langevin equation via path integrals in earlier works and has since proven to be a useful model for nonlocal and non-Markovian processes, especially in the context…
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Keywords:
motion;
motion path;
transport;
truncated motion ... See more keywords
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Published in 2024 at "Computer Graphics Forum"
DOI: 10.1111/cgf.15152
Abstract: Conventional rendering techniques are primarily designed and optimized for single‐frame rendering. In practical applications, such as scene editing and animation rendering, users frequently encounter scenes where only a small portion is modified between consecutive frames.…
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Keywords:
path integrals;
integrals rendering;
importance sampling;
frame ... See more keywords