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Relativistic dynamics

For classical dynamics at relativistic speeds, see relativistic mechanics.

Relativistic dynamics refers to a combination of relativistic and quantum concepts to describe the relationships between the motion and properties of a relativistic system and the forces acting on the system. What distinguishes relativistic dynamics from other physical theories is the use of an invariant scalar evolution parameter to monitor the historical evolution of space-time events. In a scale-invariant theory, the strength of particle interactions does not depend on the energy of the particles involved.[1] Twentieth century experiments showed that the physical description of microscopic and submicroscopic objects moving at or near the speed of light raised questions about such fundamental concepts as space, time, mass, and energy. The theoretical description of the physical phenomena required the integration of concepts from relativity and quantum theory.

Vladimir Fock[2] was the first to propose an evolution parameter theory for describing relativistic quantum phenomena, but the evolution parameter theory introduced by Ernst Stueckelberg[3][4] is more closely aligned with recent work.[5][6] Evolution parameter theories were used by Feynman,[7] Schwinger[8][9] and others to formulate quantum field theory in the late 1940s and early 1950s. Silvan S. Schweber[10] wrote a nice historical exposition of Feynman's investigation of such a theory. A resurgence of interest in evolution parameter theories began in the 1970s with the work of Horwitz and Piron,[11] and Fanchi and Collins.[12]

  1. ^ Flego, Silvana; Plastino, Angelo; Plastino, Angel Ricardo (2011-12-20). "Information Theory Consequences of the Scale-Invariance of Schröedinger's Equation". Entropy. 13 (12). MDPI AG: 2049–2058. Bibcode:2011Entrp..13.2049F. doi:10.3390/e13122049. ISSN 1099-4300.
  2. ^ Fock, V.A. (1937): Phys. Z. Sowjetunion 12, 404.
  3. ^ Stueckelberg, E.C.G. (1941): Helv. Phys. Acta 14, 322, 588.
  4. ^ Stueckelberg, E.C.G. (1942): Helv. Phys. Acta 14, 23.
  5. ^ Fanchi, J. R. (1993). "Review of invariant time formulations of relativistic quantum theories". Foundations of Physics. 23 (3). Springer Science and Business Media LLC: 487–548. Bibcode:1993FoPh...23..487F. doi:10.1007/bf01883726. ISSN 0015-9018. S2CID 120073749.
  6. ^ Fanchi, J.R. (2003): “The Relativistic Quantum Potential and Non-Locality,” published in Horizons in World Physics, 240, Edited by Albert Reimer, (Nova Science Publishers, Hauppauge, New York), pp 117-159.
  7. ^ Feynman, R. P. (1950-11-01). "Mathematical Formulation of the Quantum Theory of Electromagnetic Interaction" (PDF). Physical Review. 80 (3). American Physical Society (APS): 440–457. Bibcode:1950PhRv...80..440F. doi:10.1103/physrev.80.440. ISSN 0031-899X.
  8. ^ Schwinger, Julian (1951-06-01). "On Gauge Invariance and Vacuum Polarization". Physical Review. 82 (5). American Physical Society (APS): 664–679. Bibcode:1951PhRv...82..664S. doi:10.1103/physrev.82.664. ISSN 0031-899X.
  9. ^ Schwinger, Julian (1951-06-15). "The Theory of Quantized Fields. I". Physical Review. 82 (6). American Physical Society (APS): 914–927. Bibcode:1951PhRv...82..914S. doi:10.1103/physrev.82.914. ISSN 0031-899X. S2CID 121971249.
  10. ^ Schweber, Silvan S. (1986-04-01). "Feynman and the visualization of space-time processes". Reviews of Modern Physics. 58 (2). American Physical Society (APS): 449–508. Bibcode:1986RvMP...58..449S. doi:10.1103/revmodphys.58.449. ISSN 0034-6861.
  11. ^ Horwitz, L.P. and C. Piron (1973): Helv. Phys. Acta 46, 316.
  12. ^ Fanchi, John R.; Collins, R. Eugene (1978). "Quantum mechanics of relativistic spinless particles". Foundations of Physics. 8 (11–12). Springer Nature: 851–877. Bibcode:1978FoPh....8..851F. doi:10.1007/bf00715059. ISSN 0015-9018. S2CID 120601267.

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