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On higher symmetries in quantum mechanics
Physics Letters, 1965Pavel Winternitz
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Covariant Quantum Mechanics and Quantum Symmetries
2002We sketch the basic ideas and results on the covariant formulation of quantum mechanics on a curved spacetime with absolute time equipped with given gravitational and electromagnetic fields. Moreover, we analyse the classical and quantum symmetries and show their relations.
J. Janyska, MODUGNO, MARCO, D. Saller
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Symmetry, Quantum Mechanics, and Beyond
Foundations of Science, 2002zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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2021
Abstract“Symmetry in quantum mechanics” shows how symmetry properties are helpful in taming problems in quantum mechanics. When two operators commute, wavefunctions may be prefabricated as eigenstates of the simpler operator. There is detailed application to spin–orbit interaction and to helium.
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Abstract“Symmetry in quantum mechanics” shows how symmetry properties are helpful in taming problems in quantum mechanics. When two operators commute, wavefunctions may be prefabricated as eigenstates of the simpler operator. There is detailed application to spin–orbit interaction and to helium.
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Quantum mechanics and symmetries
Annalen der Physik, 2000Abstract Symmetries have always played an important role in physics. With quantum mechanics, however, the interplay between physics and symmetries has reached a new dimension. The very structure of quantum mechanics invites the application of group theoretical methods to an extent that physicists would have been led to invent various ...
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A THEOREM OF SOLÉR, THE THEORY OF SYMMETRY AND QUANTUM MECHANICS
International Journal of Geometric Methods in Modern Physics, 2012A classical problem in axiomatic quantum mechanics is deducing a Hilbert space realization for a quantum logic that admits a vector space coordinatization of the Piron–McLaren type. Our aim is to show how a theorem of M. Solér [Characterization of Hilbert spaces by orthomodular spaces, Comm.
CASSINELLI, GIOVANNI, P. Lahti
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Symmetries in Quantum Mechanics
1996Abstract Group theory is a branch of mathematics appropriate for studying symmetries of physical systems. A symmetry is a natural attribute of the physical world and therefore is the starting point of any physical law. The foundation of dynamics is in Lagrangian theory or equivalently in Hamiltonian theory.
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Time symmetry and interpretation of quantum mechanics
Foundations of Physics, 1976There is something truly paradoxial in quantum mechanics. Physicists know well how to use it for explaining or predicting an ever-increasing harvest of phenomena, some of which are striking, even to the expert. Nevertheless, and norwithstanding the appearance, even recently, of some sedative writings by both physicsts ([1]–[6]) and philosophers ofg ...
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Algebras and Symmetries — Quantum Mechanical Symmetry Breaking
1991The modelling of physical systems and their quantization methods are intimately related with algebras and symmetries. We discuss this relation in the following example:
H. D. Doebner, J. Tolar
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