Results 1 to 10 of about 2,155,842 (379)
Berry's phase in noncommutative spaces [PDF]
, 2002 We introduce the perturbative aspects of noncommutative quantum mechanics. Then we study the Berry's phase in the framework of noncommutative quantum mechanics. The results show deviations from the usual quantum mechanics which depend on the parameter of
Alavi S A +10 more
core +2 more sources
Quantum Information Dimension and Geometric Entropy
PRX Quantum, 2022 Geometric quantum mechanics, through its differential-geometric underpinning, provides additional tools of analysis and interpretation that bring quantum mechanics closer to classical mechanics: state spaces in both are continuous and equipped with ...
Fabio Anza, James P. Crutchfield
doaj +1 more source
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
doaj +1 more source
Deep Potential Molecular Dynamics: a scalable model with the accuracy of quantum mechanics [PDF]
Physical Review Letters, 2017 We introduce a scheme for molecular simulations, the deep potential molecular dynamics (DPMD) method, based on a many-body potential and interatomic forces generated by a carefully crafted deep neural network trained with ab initio data.
Linfeng Zhang +4 more
semanticscholar +1 more source
SUSUSY Quantum Mechanics [PDF]
International Journal of Modern Physics A, 1997 The exactly solvable eigenproblems in Schrödinger quantum mechanics typically involve the differential "shift operators". In the standard supersymmetric (SUSY) case, the shift operator turns out to be of first order. In this work, I discuss a technique to generate exactly solvable eigenproblems by using second order shift operators.
openaire +2 more sources
Probability, Entropy, and Gibbs’ Paradox(es)
Entropy, 2018 Two distinct puzzles, which are both known as Gibbs’ paradox, have interested physicists since they were first identified in the 1870s. They each have significance for the foundations of statistical mechanics and have led to lively discussions with
Robert H. Swendsen
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The Many Classical Faces of Quantum Structures
Entropy, 2017 Interpretational problems with quantum mechanics can be phrased precisely by only talking about empirically accessible information. This prompts a mathematical reformulation of quantum mechanics in terms of classical mechanics.
Chris Heunen
doaj +1 more source
Results in Physics, 2020 Using a novel quasi-relativistic wave equation, which can give precise results up to energies ~mc2, exact quantum mechanical solutions are found which corresponds to a particle with mass moving through one-dimensional piecewise constant potentials.
Luis Grave de Peralta
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Foundations of the Quaternion Quantum Mechanics
Entropy, 2020 We show that quaternion quantum mechanics has well-founded mathematical roots and can be derived from the model of the elastic continuum by French mathematician Augustin Cauchy, i.e., it can be regarded as representing the physical reality of elastic ...
Marek Danielewski, L. Sapa
semanticscholar +1 more source
Physical Review Physics Education Research, 2019 We developed and validated a conceptual survey that focuses on the formalism and postulates of quantum mechanics covered in upper-level undergraduate quantum mechanics courses. The concepts included in the quantum mechanics formalism and postulate survey
Emily Marshman, Chandralekha Singh
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