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Group Theory and Quantum Theory
2020The electron–electron interaction, electron–nucleus interaction as well as the orbit–orbit, orbit–spin, spin–spin couplings, and the other complicate interactions of electrons in free ions have been discussed in Chap. 1.
Yidong Huang, Zundu Luo
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The Theory of Proportionality as an Abstraction of Group Theory
Mathematische Annalen, 1955In this paper we present an axiomatic theory denoted by T which is an abstraction of group theory in the sense that projective geometry is an abstraction of affine geometry. Extending to group theory, F. Klein’s idea, that a geometry is determined by its group of automorphisms, we describe T as the theory whose group of automorphisms is generated by ...
J. Richard Büchi, Jesse B. Wright
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Representation Theory of Groups
2018Representation theory is an important pillar of the group theory. As we shall see soon, a word “representation” and its definition sound a bit daunting.
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2018
A group comprises mathematical elements that satisfy four simple definitions. A bunch of groups exists under these simple definitions. This makes the group theory a discriminating field of mathematics. To get familiar with various concepts of groups, we first show several tangible examples.
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A group comprises mathematical elements that satisfy four simple definitions. A bunch of groups exists under these simple definitions. This makes the group theory a discriminating field of mathematics. To get familiar with various concepts of groups, we first show several tangible examples.
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Book Reviews: Group Theory. And Its Application to the Quantum Mechanics of Atomic Spectra
, 1959E. Wigner, J. Griffin
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