This is a preview of subscription content, log in via an institution to check access.
Literature cited
U. Niederer, “The maximal kinematical invariance group of the free Schroedinger equation,” Helv. Phys. Acta,45, No. 5, 802–810 (1972).
R. L. Andersson, S. Kumei, and C. E. Wulfman, “Invariants of the equations of wave mechanics,” Rev. Mex. Phys.,21, No. 1, 1–35 (1972).
C. P. Boyer, E. G. Kalnins, and W. Miller, Jr., “Lie theory and separation of variables,” J. Math. Phys.,16, No. 3, 499–511 (1975).
J. J. Aghassi, P. Roman, and R. M. Santilli, “New dynamical group for relativistic quantum mechanics”, Phys. Rev. D,1, No. 10, 2753–2765 (1970).
V. I. Fushchich, “Representations of the complete inhomogeneous de Sitter group and equations in the five-dimensional approach,” Teor. Mat. Fiz.,4, No. 3, 361–382 (1970).
V. I. Fushchich, “On the additional invariance of the Dirac and Maxwell equations,” Lett. Nuovo Cim.,11, No. 10, 508–512 (1974).
V. I. Fushchich, “On an additional invariance of relativistic equations of motion,” Teor. Mat. Fiz.,7, No. 1, 3–12 (1971).
V. I. Fushchich, “On the additional invariance of the relativistic equations of motion,” Preprint ITP-70-32, Kiev (1970).
A. Chakrabarti, “Canonical form of the covariant free-particle equation,” J. Math. Phys.,4, No. 10, 1215–1222 (1963).
J. Johnson and K. K. Chang, “Exact diagonalization of the Dirac Hamiltonian in an external field,” Phys. Rev. D,10, No. 8, 2421–2430 (1974).
Author information
Authors and Affiliations
Additional information
Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 28, No. 6, pp. 844–849, November–December, 1976.
Rights and permissions
About this article
Cite this article
Fushchich, V.I., Segeda, Y.N. Invariance groups of certain equations of relativistic quantum mechanics. Ukr Math J 28, 650–654 (1976). https://doi.org/10.1007/BF01094137
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01094137