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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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Introduction to Quantum Mechanics [PDF]
The purpose of this contribution is to give a very brief introduction to Quantum Mechanics for an audience of mathematicians. I will follow Segal's approach to Quantum Mechanics paying special attention to algebraic issues. The usual representation of Quantum Mechanics on Hilbert spaces is also discussed.
Eduardo J. S. Villaseñor+2 more
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The Many Classical Faces of Quantum Structures
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
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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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Quantum geodesics in quantum mechanics [PDF]
We show that the standard Heisenberg algebra of quantum mechanics admits a noncommutative differential calculus Ω1 depending on the Hamiltonian p2/2m + V(x), and a flat quantum connection ∇ with torsion such that a previous quantum-geometric formulation of flow along autoparallel curves (or “geodesics”) is exactly Schrödinger’s equation. The connection
Edwin Beggs, Shahn Majid
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Quantum Mechanics and an Ontology of Intersubjectivity: Perils and Promises
Contemporary theology has realized the importance of integrating what we know from the “new physics”-quantum mechanics and relativity theory-into the metaphysical and ontological categories used by theology to consider God, the world, and the God-world ...
Pugliese Marc A.
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Emergent Quantum Mechanics: David Bohm Centennial Perspectives
Emergent quantum mechanics (EmQM) explores the possibility of an ontology for quantum mechanics. The resurgence of interest in realist approaches to quantum mechanics challenges the standard textbook view, which represents an operationalist approach. The
Jan Walleczek+3 more
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Geometric quantum mechanics [PDF]
27 pages.
Dorje C. Brody+2 more
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Can you pick a complex subject in quantum mechanics and discuss it with a minimum number of equations, in a simplified form that the general scientific public could understand?
Gabriela M. Amaral+7 more
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Framework for understanding the patterns of student difficulties in quantum mechanics
[This paper is part of the Focused Collection on Upper Division Physics Courses.] Compared with introductory physics, relatively little is known about the development of expertise in advanced physics courses, especially in the case of quantum mechanics ...
Emily Marshman, Chandralekha Singh
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