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標(biāo)題: Titlebook: Applications of the Theory of Groups in Mechanics and Physics; Petre P. Teodorescu,Nicolae-Alexandru P. Nicorovic Book 2004 Springer Scien [打印本頁(yè)]

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書目名稱Applications of the Theory of Groups in Mechanics and Physics影響因子(影響力)




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書目名稱Applications of the Theory of Groups in Mechanics and Physics被引頻次




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Applications of the Theory of Groups in Mechanics and Physics978-1-4020-2047-6Series ISSN 0168-1222 Series E-ISSN 2365-6425
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978-90-481-6581-0Springer Science+Business Media New York 2004
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S. Ukai,N. Oono,S. Ohtsuka,T. KaitoaaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn% hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr% 4rNCHbWexLMBbXgBd9gzLbvyNv2CaeHb3oNStNQ+fNoasaacH8srps% 0lbbf9q8WrFfeuY-Hhbbf9v8qqaqFr0xc9pk0xbba9q8WqFfea0-yr% 0RYxir-Jbba9q8aq0-yq-He9q8qqQ8frFve9Fve9Ff0dmeaabaqaci% GacaGaaeqabaWaaeaaeaqbaOqaaiaadge
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Xiancong Zhao,Hao Bai,Qi Shi,Zhancheng Guoinite dimensional ., denoted by .. This linear space becomes a . if we introduce a scalar product defined by the relation . where .Ω=sin. . . is the element of solid angle. The space . is complete, therefore it is also a.. To a rotation G of . there corresponds an operator T(G) acting in ., which is
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Youliang He,Mehdi Sanjari,Erik J. Hilinskimulations. Then, we analyse in detail the symmetry properties of the basic equations in both formulations, and show a demonstration of Noether’s theorem and its reciprocal. Following these preliminaries, the main part of the chapter is dedicated to the study of the one-to-one correspondence between
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R. Gültekin,A. Rückert,H. Pfeifere to model the energy levels of the electron in a hydrogen atom. Later on, in its general form, Schr?dinger’s equation reached the same central importance to quantum mechanics as Newton’s laws of motion to classical mechanics.
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0168-1222 vity, quantum mechanics, theory of elementary particles, etc. This notion has developed during a century and this development is connected with the names of great mathematicians as E. Galois, A. L. Cauchy, C. F. Gauss, W. R. Hamilton, C. Jordan, S. Lie, E. Cartan, H. Weyl, E. Wigner, and of many oth
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Xiancong Zhao,Hao Bai,Qi Shi,Zhancheng Guolement of solid angle. The space . is complete, therefore it is also a.. To a rotation G of . there corresponds an operator T(G) acting in ., which is unitary, linear, and generates a representation of SO (3), defined by the formula
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Symmetry Groups of Differential Equations,lement of solid angle. The space . is complete, therefore it is also a.. To a rotation G of . there corresponds an operator T(G) acting in ., which is unitary, linear, and generates a representation of SO (3), defined by the formula
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S. Ukai,N. Oono,S. Ohtsuka,T. Kaitox . is ., and if . = ?. then the matrix . is .. A square matrix . is called . or ., if . = . or . = ?., respectively. A square matrix . is called . if . = ., and . if . = .. Note that, a real and symmetric matrix is also Hermitian.
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Applications in Mechanics,mulations. Then, we analyse in detail the symmetry properties of the basic equations in both formulations, and show a demonstration of Noether’s theorem and its reciprocal. Following these preliminaries, the main part of the chapter is dedicated to the study of the one-to-one correspondence between
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Applications in Quantum Mechanics and Physics of Elementary Particles,e to model the energy levels of the electron in a hydrogen atom. Later on, in its general form, Schr?dinger’s equation reached the same central importance to quantum mechanics as Newton’s laws of motion to classical mechanics.
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Book 2004y, without exaggeration, that this is the most important idea that occurred in mathematics since the invention of infinitesimal calculus; indeed, the notion of group expresses, in a precise and operational form, the vague and universal ideas of regularity and symmetry. The notion of group led to a p
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