Geometric algebra and the causal approach to multiparticle quantum mechanics

Journal of Mathematical Physics

Volumn 40, Issue 7, 1999, Pages 3327-3340

  Somaroo, Shyamal ^a   Lasenby, Anthony ^a   Doran, Chris ^a  

^a UNIVERSITY OF CAMBRIDGE   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033243776     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.532890     Document Type: Article

References (14)

1. S. F. Gull, A. N. Lasenby, and C. J. L. Doran, "Imaginary numbers are not real - the geometric algebra of spacetime," Found. Phys. 23, 1175 (1993).
2. C. J. L. Doran, A. N. Lasenby, S. F. Gull, S. S. Somaroo, and A. D. Challinor, "Spacetime algebra and electron physics," Adv. Imaging Electron Phys. 95, 271 (1996).
3. D. Hestenes, Space-Time Algebra (Gordon and Breach, New York, 1966).
4. D. Hestenes, "Proper dynamics of a rigid point particle," J. Math. Phys. 15, 1778 (1974).
5. A. N. Lasenby, C. J. L. Doran, and S. F. Gull, "Gravity, gauge theories and geometric algebra," Philos. Trans. R. Soc. London, Ser. A 356, 487 (1998).
6. C. J. L. Doran, "Geometric algebra and its application to mathematical physics," Ph.D. thesis, Cambridge University, 1994.
7. P. R. Holland, The Quantum Theory of Motion (Cambridge University Press, Cambridge, 1993).
8. P. R. Holland, "Causal interpretation of a system of two spin-1/2 particles," Phys. Rep. 169, 294 (1988).
9. C. J. L. Doran, A. N. Lasenby, S. F. Gull, and J. Lasenby, "Lectures in geometric algebra," in Clifford (Geometric) Algebras, edited by W. E. Baylis (Birkhauser, Boston, 1996), pp. 65-236.
10. D. Hestenes and G. Sobczyk, Clifford Algebra to Geometric Calculus (Reidel, Dordrecht, 1984).
11. I. W. Benn and R. W. Tucker, An Introduction to Spinors and Geometry (Hilger, Bristol, 1988).
12. C. J. L. Doran, A. N. Lasenby, and S. F. Gull, "States and operators in the spacetime algebra," Found. Phys. 23, 1239 (1993).
13. R. Penrose and W. Rindler, Spinors and Space-time Volume 1: Two-spinor Calculus and Relativistic Fields (Cambridge University Press, Cambridge, 1984).
14. A. N. Lasenby, C. J. L. Doran, and S. F. Gull, "2-spinors, twistors and supersymmetry in the spacetime algebra," in Spinors, Twistors, Clifford Algebras and Quantum Deformations, edited by Z. Oziewicz, B. Jancewicz, and A. Borowiec (Kluwer, Dordrecht, 1993), p. 233.