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Contextuality in Classical Physics and Its Impact on the Foundations of Quantum Mechanics
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
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The Pure State Space of Quantum Mechanics as Hermitian Symmetric Space [PDF]
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
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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
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Learn Quantum Mechanics with Haskell [PDF]
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
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From Cbits to Qbits: Teaching computer scientists quantum mechanics [PDF]
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
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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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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
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Insights into teaching quantum mechanics in secondary and lower undergraduate education
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
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(Modular) Effect Algebras are Equivalent to (Frobenius) Antispecial Algebras [PDF]
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
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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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