Results 251 to 260 of about 13,825 (298)

Algebra of Symmetry Operators for Klein-Gordon-Fock Equation

Symmetry, 2021
All external electromagnetic fields in which the Klein-Gordon-Fock equation admits the first-order symmetry operators are found, provided that in the space-time V4 a group of motion G3 acts simply transitively on a non-null subspace of transitivity V3 ...
V V Obukhov
exaly   +2 more sources

The Branes Behind Generalized Symmetry Operators

Fortschritte Der Physik, 2023
The modern approach to $m$-form global symmetries in a $d$-dimensional quantum field theory (QFT) entails specifying dimension $d-m-1$ topological generalized symmetry operators which non-trivially link with $m$-dimensional defect operators.
Ethan Torres, Hao Y Zhang
exaly   +3 more sources

Representation of Discrete Symmetry Operators

Journal of Mathematical Physics, 1966
Representations 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 ...
K. H. Mariwalla
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Symmetry operators for Riemann’s method

Journal of Mathematical Physics, 2004
Riemann’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.
Peter J. Zeitsch
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Symmetry operators and separation of variables for spin‐wave equations in oblate spheroidal coordinates

Journal of Mathematical Physics, 1990
A family of second-order differential operators that characterize the solution of the massless spin s field equations, obtained via separation of variables in oblate spheroidal coordinates and using a null tetrad is found.
E G Kalnins, G C Williams, Kalnins E G
exaly   +2 more sources

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Symmetry operation measures

Journal of Computational Chemistry, 2007
AbstractWe introduce a new mathematical tool for quantifying the symmetry contents of molecular structures: the Symmetry Operation Measures. In this approach, we measure the minimal distance between a given structure and the structure which is obtained after applying a selected symmetry operation on it.
Mark Pinsky 0002, David Casanova, Pere Alemany, Santiago Alvarez, David Avnir, Chaim Dryzun, Ziv Kizner, Alexander Sterkin   +7 more
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Position Operators as ``Internal'' Symmetries

Journal of Mathematical Physics, 1972
Space-time variables are generated as representation labels of an underlying group, the group itself being combined with the Poincaré group in a manner reminiscent of the way in which internal symmetries are combined with the Poincaré group. After representations of the group are found, a transform is introduced which allows one to pass from spinor to ...
Warren, Russell E., Klink, William H.
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Symmetries and Symmetry Operations: A First Overview

1995
In this chapter, we cover the fundamentals and theoretical approaches which we will need for — among other things — determining the wavefunctions and the energies of the π-electrons in benzene. A second example will be the ethene molecule.
Hermann Haken, Hans Christoph Wolf
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Symmetries and Symmetry Operations. A Systematic Approach

1995
This chapter provides a systematic approach to the application of group theory for the determination of molecular wavefunctions. We treat molecular point groups, the effect of symmetry operators on wavefunctions, and then the basic concepts of the theory of group representations. The method is demonstrated using the explicit example of the H2O molecule.
Hermann Haken, Hans Christoph Wolf
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Symmetry elements and symmetry operations

1991
The idea of ‘symmetry’ has been understood for a very long time, and the relationship of the symmetry of an object to its aesthetic appeal has been appreciated from the earliest ages. Our aim here is to make the idea of symmetry quantitative, so that we can use the symmetry properties of a molecule to simplify many of the problems concerning the ...
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