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Representation of Discrete Symmetry Operators
Journal of Mathematical Physics, 1966Representations of discrete symmetry operators (DSO's) connected with space (𝒫), time (T), and generalized charge (𝒞) are considered. It is shown that if one writes a DSO as exp (iπΩ) × a phase transformation, then (under certain conditions on Ωs) to each DSO there corresponds a set of Ωs which is closed with respect a Lie algebra, which is isomorphic ...
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Symmetry Elements and Operations
Journal of Chemical Education, 1996Symmetry Elements and Operations is a multimedia presentation that illustrates the basics of symmetry with three dimensional molecular models and simple text explanations. Three-dimensional graphics and animations are used to define and characterize the symmetry elements commonly encountered in chemical structures.
Albert W.M. Lee +3 more
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Entanglement as an operational symmetry
Rochester Conference on Coherence and Quantum Optics (CQO-11), 2019The ability to replicate operations on one subsystem using operations on distant subsystems is a quintessential feature of entanglement. We formalize this notion and classify the states for which it holds to shed light on quantum and classical entanglement. This leads to an operational method for quantifying the entanglement in a quantum state.
Aaron Z. Goldberg +2 more
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Symmetry operators for Riemann’s method
Journal of Mathematical Physics, 2004Riemann’s method is one of the definitive ways of solving Cauchy’s problem for a second order linear hyperbolic partial differential equation in 2 variables. Chaundy’s equation, with 4 parameters, is the most general self-adjoint equation for which the Riemann function is known.
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Representations of symmetry operators
Il Nuovo Cimento, 1958Explicit representations in terms of the field variables are given for the charge conjugation, space inversion, and time reversal operators, for the case of free fields. These expressions are generalized to the case of coupled fields.
Federbush, P. G., Grisaru, M. T.
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An operator approach to symmetries
Il Nuovo Cimento B Series 11, 1976By using the methods of nonlinear functional analysis a single general operator symmetry condition is derived. It supplies a simple and systematic procedure for finding symmetry conditions in particular problems. From it the Lie algebra structure associated with symmetries is easily displayed and the classical Lie theory of symmetries of differential ...
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Complex symmetry of linear combinations of composition operators on the Fock space
Archiv Der Mathematik, 2022Ze-Hua Zhou, Zicong Yang
exaly

