Abstract
The study of L-matrices leads us naturally to the definition of the matrices
and
where Q is a “quaternion-like” object and its reciprocal R is the resolvent which can be interpreted as the propagator associated with L under “suitable” circumstances.
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References
A. Ramakrishnan, “L-matrices, quaternions, and propagators,” J. Math Anal. Appl, (in press).
Sho. Tanaka, “Theory of matter with superlight velocity,” Progr. Theor. Phys. 24: 171 (1960). E.P. Wigner, “Invariant Quantum Mechanical Equations,” Sec. VII “Case of Imaginary Rest Mass,” p. 76, Proceedings of the International Seminar on Theoretical Physics Trieste, I. A. E.A., Vienna, 1963.
O. M. P. Bilaniuk, V. K. Deshpande, and E. C. G. Sudarshan, “Meta-Rela-tivity,” Am. J. Phys. 30: 718 (1962).
M. E. Arons and E. C. G. Sudarshan, “Lorentz invariance,” “Local field theory, faster-than-light-particles,” Syracuse Preprint NYO-3399-133, Su-1206-133.
G. Feinberg, “Possibility of faster-than-light particles,” Phys. Rev. 159: 1089 (1967).
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© 1969 Plenum Press
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Ramakrishnan, A. (1969). L-Matrices and Propagators with Imaginary Parameters. In: Ramakrishnan, A. (eds) Symposia on Theoretical Physics and Mathematics 9. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-7673-6_9
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DOI: https://doi.org/10.1007/978-1-4684-7673-6_9
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