Abstract
In a recent paper,1 a hierarchy of matrices L m, which contains the Dirac Hamiltonian as a particular case, (m represents the number of parameters occuring in L m) was introduced. These matrices can be expressed as linear combinations of matrix representations of Clifford elements2 satisfying anticommutation relations, the parameters being the coefficients. In obtaining the hierarchy of matrices L m in a systematic way, a σ-operation is defined which corresponds to the introduction of two additional parameters.
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References
A. Ramakrishnan, “The Dirac Hamiltonian as member of a hierarchy of matrices,” J. Math Anal, and Appl. 20: 9–16 (1967).
H. Boerner, “Representations of Groups,” North-Holland Publishing Co., Amsterdam, 1963.
P. Jordan and E. P. Wigner, Z. Physik. 47: 631 (1928).
G. M. Mackey, I Ann. Math. 55: 101 (1952); II. Ann. Math. 58: 193 (1952).
W. Pauli, “Handbuch der Physik 2nd Ed.,” Berlin, J. Springer Verlag, V1, 1933.
W. Pauli, Ann. Inst. Henri Poincaré, 6: 137 (1936).
J. S. Lomont, “Application of Finite Groups,” Academic Press, New York, (1959).
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© 1968 Plenum Press
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Ramakrishnan, A., Raghavacharayulu, I.V.V. (1968). A Note on the Representations of Dirac Groups. In: Ramakrishnan, A. (eds) Symposia on Theoretical Physics and Mathematics 8. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-7721-4_3
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DOI: https://doi.org/10.1007/978-1-4684-7721-4_3
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4684-7723-8
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