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On a New Basis for a Generalized Clifford Algebra and its Application to Quantum Mechanics

In: Clifford Algebras with Numeric and Symbolic Computations

Author

Listed:
  • A. Granik

    (University of the Pacific, Physics Department)

  • M. Ross

    (University of the Pacific, Physics Department)

Abstract

A generalized Clifford algebra is formulated in terms of a simple Euclidean carrier space. Using this space the eigenvalues, shifting operators, and the Casimir operator are easily derived for a few selected quantum mechanical problems.

Suggested Citation

  • A. Granik & M. Ross, 1996. "On a New Basis for a Generalized Clifford Algebra and its Application to Quantum Mechanics," Springer Books, in: Rafał Abłamowicz & Josep M. Parra & Pertti Lounesto (ed.), Clifford Algebras with Numeric and Symbolic Computations, pages 101-110, Springer.
  • Handle: RePEc:spr:sprchp:978-1-4615-8157-4_6
    DOI: 10.1007/978-1-4615-8157-4_6
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