The Maximal "Kinematical" Invariance Group for an Arbitrary Potential Revised

Author:

Nikitin A.G,

Publisher

National Academy of Sciences of Ukraine (Co. LTD Ukrinformnauka)

Subject

Geometry and Topology,Mathematical Physics,Analysis

Reference22 articles.

1. [1] R.L. Anderson, S. Kumei, and C.E. Wulfman, Invariants of the equations of wavemechanics. I, Rev. Mexicana Fı́s. 21 (1972), 1–33.

2. [2] P. Basarab-Horwath, L. Lahno, and R. Zhdanov, The structure of the Lie algebrasand the classification problem of partial differential equations, Acta Appl. Math. 69(2001), 43–94. CrossRef

3. [3] C.P. Boyer, The maximal 'kinematical' invariance group for an arbitrary potential,Helv. Phys. Acta 47 (1974), 450–605.

4. [4] V. Boyko, J. Patera, and R. Popovych, Computation of invariants of Lie algebrasby means of moving frames, J. Phys. A 39 (2006), 5749–5762. CrossRef

5. [5] W.I. Fushchich, L.F. Barannyk, and A.F. Barannyk, Subgroup Analysis of Galileiand Poincare Groups and Reduction of Nonlinear Equations (Russian), NaukovaDumka, Kiev, 1991.

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