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Contextuality in Classical Physics and Its Impact on the Foundations of Quantum Mechanics

open access: yesEntropy, 2021
It is shown that the hallmark quantum phenomenon of contextuality is present in classical statistical mechanics (CSM). It is first shown that the occurrence of contextuality is equivalent to there being observables that can differentiate between pure and
Fritiof Wallentin
doaj   +1 more source

The Pure State Space of Quantum Mechanics as Hermitian Symmetric Space [PDF]

open access: yes, 2002
The pure state space of Quantum Mechanics is investigated as Hermitian Symmetric Kaehler manifold. The classical principles of Quantum Mechanics (Quantum Superposition Principle, Heisenberg Uncertainty Principle, Quantum Probability Principle) and ...
A. Manià   +16 more
core   +2 more sources

DIRAC AND HAMILTON

open access: yesActa Polytechnica, 2014
Dirac devised his theory of Quantum Mechanics and recognised that his operators resembled the canonical coordinates of Hamiltonian Mechanics. This gave the latter a new lease of life.
P. G. L. Leach
doaj   +1 more source

Learn Quantum Mechanics with Haskell [PDF]

open access: yesElectronic Proceedings in Theoretical Computer Science, 2016
To learn quantum mechanics, one must become adept in the use of various mathematical structures that make up the theory; one must also become familiar with some basic laboratory experiments that the theory is designed to explain.
Scott N. Walck
doaj   +1 more source

From Cbits to Qbits: Teaching computer scientists quantum mechanics [PDF]

open access: yes, 2002
A strategy is suggested for teaching mathematically literate students, with no background in physics, just enough quantum mechanics for them to understand and develop algorithms in quantum computation and quantum information theory.
Mermin, N. David
core   +2 more sources

Supersymmetric Wigner–Dunkl quantum mechanics

open access: yesResults in Physics, 2022
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
doaj   +1 more source

Generalization of Classical Statistical Mechanics to Quantum Mechanics and Stable Property of Condensed Matter

open access: yes, 2005
Classical statistical average values are generally generalized to average values of quantum mechanics, it is discovered that quantum mechanics is direct generalization of classical statistical mechanics, and we generally deduce both a new general ...
Anandan J.   +18 more
core   +1 more source

Insights into teaching quantum mechanics in secondary and lower undergraduate education

open access: yesPhysical Review Physics Education Research, 2017
This study presents a review of the current state of research on teaching quantum mechanics in secondary and lower undergraduate education. A conceptual approach to quantum mechanics is being implemented in more and more introductory physics courses ...
K. Krijtenburg-Lewerissa   +3 more
doaj   +1 more source

(Modular) Effect Algebras are Equivalent to (Frobenius) Antispecial Algebras [PDF]

open access: yesElectronic Proceedings in Theoretical Computer Science, 2017
Effect algebras are one of the generalizations of Boolean algebras proposed in the quest for a quantum logic. Frobenius algebras are a tool of categorical quantum mechanics, used to present various families of observables in abstract, often nonstandard ...
Dusko Pavlovic, Peter-Michael Seidel
doaj   +1 more source

Student ability to distinguish between superposition states and mixed states in quantum mechanics

open access: yesPhysical Review Special Topics. Physics Education Research, 2015
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
doaj   +1 more source

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