. cl as s - ph ] 9 M ar 1 99 9 Unified Descriptions Of All Integral Variational Principles
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چکیده
X iv :p hy si cs /9 90 30 15 v1 [ ph ys ic s. cl as sph ] 9 M ar 1 99 9 Unified Descriptions Of All Integral Variational Principles Y. C. Huang 1 A. M. Li M. X. Shao X. G. Li Department of Applied Physics, Beijing Polytechnic University, Beijing 100022, P. R. China Department of Physics, Beijing Normal University, Beijing 100082, P. R. China INFN, Sezione di Catania, Corso Italia 57, I-95129 Catania, Italy ( Email: [email protected] ) Abstract This paper shows the unified descriptions of the general, Hamilton, Voss, Hölder, Maupertuis-Lagrange variational principles of integral style, and finds the intrinsic relations among the different integral variational principles, it is proved that, under the condition of Eq.(7), f0= 0 is just the result satisfying the quantitative causal principle, the intrinsic relations among the invariant quantities and among the Noether conservation charges of the all integral and differential variational principles are found. Physical laws may be expressed by variational principle not only by differential formulas, in fact, differential formulas can be derived from variational principle, and there are the variational principles of differential and integral styles[1, 2]. The unified descriptions of the all differential variational principles are presented in Ref.[3]. Ref.[3] rigorously gives the expression of the quantitative causal principle in terms of the no-loss-no-gain principle in the Universe[4]
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X iv :p hy si cs /9 90 30 15 v2 [ ph ys ic s. cl as sph ] 2 4 A ug 1 99 9 Unified Expressions Of All Integral Variational Principles Based On The Quantitative Causal Principle Y. C. Huang 1,2 A. M. Li M. X. Shao X. G. Li Department of Applied Physics, Beijing Polytechnic University, Beijing 100022, P. R. China ( Email address: [email protected] ) Institute of Theoretical Physics, Chinese Acad...
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