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Hyperbolic Lagrangian functions. (English) Zbl 0944.70015

The equation of motion for a free particle on Minkowski space is dicussed in Lagrangian, Hamiltonian, and Hamilton-Jacobi form, using a representation with an imaginary time coordinate. Unfortunately, the English translation of this Chinese paper is difficult to understand since it is not in agreement with standard English terminology.
Reviewer: V.Perlick (Berlin)

MSC:

70H40 Relativistic dynamics for problems in Hamiltonian and Lagrangian mechanics
70H03 Lagrange’s equations
83A05 Special relativity
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References:

[1] Xong Xijin, Wide complex analysis,Journal of Wuhan University,1 (1980), 26–29. (in Chinese)
[2] Yu Xuegang and Cui Jingmao, Hyperbolic quantum mechanics,Journal of Songliao,4 (1995), 1–6. (in Chinese)
[3] Yu Xuegang and Ma Longjun, The summary of the hyperbolic complex functional analysis,Journal of Tonghua Teachers’ College,4 (1993), 30–34. (in Chinese)
[4] Yu Xuegang and Yu Xueqian, Hyperbolic complex analysis and the theory of relativity,Journal of Mathematics Physics,15, 4 (1995), 435–441. (in Chinese) · Zbl 0900.51005
[5] Yu Xuegang and Gao Junli, Hyperbolic tensor analysis,Proceedings of the 2nd International Conference on Nonlinear Mechanics, Peking University Press (1993), 883–884.
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