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Communication Relations of Quantum Mechanics
Physical Review, 1960The mathematical and physical meaning of the commutation relations of nonrelativistic quantum mechanics is discussed in terms of the representation of translations, Galilean transformations, and rotations of the coordinate system by unitary transformations acting on the unitary vector space of quantum states.
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Quantum mechanical Fresnel relations
Optical Society of America Annual Meeting, 1991Several authors1,2 have studied the lossless beam splitter on a quantum mechanical basis. In this approach the action of the beam splitter is described by unitary transformations that act on the operators for the radiation fields present. In this paper we study quantum mechanically the general case of reflection and transmission from a boundary.
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Relational Blockworld and Quantum Mechanics
2018The main thread of chapter 4 introduces some of the major mysteries and interpretational issues of quantum mechanics (QM). These mysteries and issues include: quantum superposition, quantum nonlocality, Bell’s inequality, entanglement, delayed choice, the measurement problem, and the lack of counterfactual definiteness.
Michael Silberstein +2 more
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SUPERSYMMETRIC QUANTUM MECHANICS, COUPLED CHANNELS, SCATTERING RELATIONS
International Journal of Modern Physics A, 1990We study supersymmetric quantum mechanics with particular emphasis on scattering relations and coupled channels. We discuss channels with different masses, the threshold behavior of supersymmetric S-matrix partners, phase equivalence, and the appearance and disappearance of S-matrix poles. We also present some soluble examples.
Amado, R.D., Cannata, F., Dedonder, J.P.
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Commutation Relations of Quantum Mechanics
1987An important role in quantum theory is played by the so-called representations of commutation relations. The question is to determine (up to unitary equivalence) all the solutions of specific operator equations containing commutators (or anti-commutators {T1, T2} = T1T2 + T2T1; we do not discuss this case here).
M. S. Birman, M. Z. Solomjak
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Relational Quantum Mechanics and Intuitionistic Mathematics
Foundations of PhysicszbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Commutation relations in quantum mechanics
1967So far, commutators of the form AB − BA = − iC have occurred in which A and B are self-adjoint and C was either bounded and arbitrary or semi-definite. In this chapter the special case, important in quantum mechanics, in which C is the identity operator will be considered.
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