摘要: Symmetry groups and their applications Willard Miller, Jr. (Pure and applied mathematics, v. 50) Academic Press, 1972关键词: n64310* --physics (high energy)--particle invariance principles & symmetry--general symmetry groups-- lectures group theory lie groups quantum mechanics 被引量: ...
The symmetry groups of solid and soft-matter quasicrystals observed so far are summarized and the symmetry breakings of quasicrystals are systematically discussed. The present review connects several branches of mathematics and physics and related applications in science and technology are also discussed....
Integrable probability and stochastic processes Quantum algebras, quantum groups and their representations Symplectic, Poisson and noncommutative geometry Algebraic geometry and its applications Quantum field theories and string/gauge theories Statistical physics and condensed matter physics Quantum gravity and ...
Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) is a leading international mathematics journal published by the International Center for Interdisciplinary Research (ICM). The journal fosters advancements in the study of symmetry, integrability, and geometry, promoting their methods and...
Our results were obtained independently of their work; in fact, they reference some of our early results in their paper. Our paper is organized as follows: The second section describes how symmetry groups act on Kripke models. The third section gives the syntax and semantics of the logic CTL...
Finally, we shall introduce the concept of the isomorphism of groups. Two groups A and B of the same order are said to be isomorphous if we can establish a one-to-one correspondence between their elements, such that, if the element B corresponds to the element A, and B′ to A′, the...
Point groups used with molecules. Point group representations, matrices and basis sets. Reducible and irreducible representations. Applications in vibrational spectroscopy. Symmetry in chemical bonding. Molecular Symmetry is designed to introduce the subject by combining symmetry with spectroscopy in a clear...
The q in Hq*(M) is a real parameter which can be taken to zero and, when this is done, one recovers the standard cohomology ring H* (M); thus q→ 0 represents the classical limit, one also recognises similarities with the deformations of Lie algebras known as quantum groups. For some...
Integrable probabilityandstochastic processes Quantum algebras,quantum groupsand their representations Symplectic, Poisson and noncommutative geometry Algebraic geometry and its applications Quantum field theories and string/gauge theories Statistical physics and condensed matter physics ...
Among the elements that have the form described by (b) of Theorem 4.7 only[YEn+12,n+12En+12,n+12Y] commutes with t and s. Thus the preceding Summary of the symmetry group and associated subgroups Figure 1 illustrates a summary of our groups which are all subgroups of S2n with a ...