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Supersymmetric Wigner–Dunkl quantum mechanics
Wigner–Dunkl quantum mechanics can be viewed as deformed quantum mechanics, where the commutator between canonical momentum and position operators contains in addition a reflection operator.
Shi-Hai Dong +3 more
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Student ability to distinguish between superposition states and mixed states in quantum mechanics
Superposition gives rise to the probabilistic nature of quantum mechanics and is therefore one of the concepts at the heart of quantum mechanics. Although we have found that many students can successfully use the idea of superposition to calculate the ...
Gina Passante +2 more
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The Possibility of Reconciling Quantum Mechanics with Classical Probability Theory
We describe a scheme for constructing quantum mechanics in which a quantum system is considered as a collection of open classical subsystems. This allows using the formal classical logic and classical probability theory in quantum mechanics. Our approach
A. N. Kolmogorov +14 more
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Voltage-gated channels are crucial in action potential initiation and propagation and there are many diseases and disorders related to them. Additionally, the classical mechanics are the main mechanics used to describe the function of the voltage-gated ...
Abdallah Barjas Qaswal +5 more
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Geometry, stochastic calculus and quantum fields in a non-commutative space-time
The algebras of non-relativistic and of classical mechanics are unstable algebraic structures. Their deformation towards stable structures leads, respectively, to relativity and to quantum mechanics.
Accardi L. +16 more
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Review of student difficulties in upper-level quantum mechanics
[This paper is part of the Focused Collection on Upper Division Physics Courses.] Learning advanced physics, in general, is challenging not only due to the increased mathematical sophistication but also because one must continue to build on all of the ...
Chandralekha Singh, Emily Marshman
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On the Stochastic Mechanics Foundation of Quantum Mechanics
Among the famous formulations of quantum mechanics, the stochastic picture developed since the middle of the last century remains one of the less known ones.
Michael Beyer, Wolfgang Paul
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The Conditional Probability Interpretation of Quantum Mechanics replaces the abstract notion of time used in standard Quantum Mechanics by the time that can be read off from a physical clock.
A. Messiah +8 more
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A Process Model of Quantum Mechanics
A process model of quantum mechanics utilizes a combinatorial game to generate a discrete and finite causal space upon which can be defined a self-consistent quantum mechanics.
Sulis, William
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From Classical to Quantum Mechanics: "How to translate physical ideas into mathematical language"
In this paper, we investigate the connection between Classical and Quantum Mechanics by dividing Quantum Theory in two parts: - General Quantum Axiomatics (a system is described by a state in a Hilbert space, observables are self-adjoint operators and so
Bayen F. +7 more
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