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Introduction to quantum mechanics, 3rd edition
, 2020There are different approaches to the study of quantum mechanics (QM). For instance, the teacher can decide to stress more on the mathematical foundations or the philosophical aspects of the quantu...
S. Scali
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Journal of Computational Chemistry, 2003
Molecular mechanics models have been applied extensively to study the dynamics of proteins and nucleic acids. Here we report the development of a third‐generation point‐charge all‐atom force field for proteins.
Y. Duan +12 more
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Molecular mechanics models have been applied extensively to study the dynamics of proteins and nucleic acids. Here we report the development of a third‐generation point‐charge all‐atom force field for proteins.
Y. Duan +12 more
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QUANTUM DEFORMATIONS OF QUANTUM MECHANICS
Modern Physics Letters A, 1993Based on a deformation of the quantum mechanical phase space we study q-deformations of quantum mechanics for qk=1 and 0<q<1. After defining a q-analog of the scalar product on the function space we discuss and compare the time evolution of operators in both cases.
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The Logic of Quantum Mechanics
The Annals of Mathematics, 1936\glqq Experimentelle Aussagen\grqq{} über den Zustand eines quantenmechanischen Systems haben die Form: \(n\) gegebene gleichzeitig meßbare Größen haben Werte, die mit Sicherheit einer gegebenen Menge \(S\) von Wertsystemen angehören. Im Hilbertschen Raum der Zustandsfunktionen \(\psi\) entspricht jeder experimentellen Aussage ein abgeschlossener ...
Garrett Birkhoff, John von Neumann
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Fractals and quantum mechanics
Chaos: An Interdisciplinary Journal of Nonlinear Science, 2000A new application of a fractal concept to quantum physics has been developed. The fractional path integrals over the paths of the Lévy flights are defined. It is shown that if fractality of the Brownian trajectories leads to standard quantum mechanics, then the fractality of the Lévy paths leads to fractional quantum mechanics.
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Quantum Mechanics Fundamentals
Quantum Information Processing, Quantum Computing, and Quantum Error Correction, 2021I. Djordjevic
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Journal of Mathematical Physics, 1986
A discrete model for quantum mechanics is presented. First a discrete phase space S is formed by coupling vertices and edges of a graph. The dynamics is developed by introducing paths or discrete trajectories in S. An amplitude function is used to compute probabilities of quantum events and a discrete Feynman path integral is presented.
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A discrete model for quantum mechanics is presented. First a discrete phase space S is formed by coupling vertices and edges of a graph. The dynamics is developed by introducing paths or discrete trajectories in S. An amplitude function is used to compute probabilities of quantum events and a discrete Feynman path integral is presented.
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