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Off-Shell Transport Dynamics

  • Tamás Sándor BiróEmail author
  • Antal Jakovác
Chapter
Part of the SpringerBriefs in Physics book series (SpringerBriefs in Physics)

Abstract

In Chap.  1 we discussed examples of quantum uncertainty, and also the energy variance and its resemblance to a temperature when special relativity is taken into account. We have demonstrated that the complex scalar free field theory, when viewed in terms of amplitude and phase variables, exhibits a coupling between the off-mass-shell relation of the classical four-momentum and the quantum scale variation of the magnitude of the quantum probability density. The classical dispersion relation \(P_iP^i-(mc)^2=0\) is no longer valid, unless one deals with plane waves of constant amplitude in space and time.

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Copyright information

© The Author(s), under exclusive licence to Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.H.A.S. Wigner Research Centre for PhysicsBudapestHungary
  2. 2.Institute of PhysicsRoland Eötvös UniversityBudapestHungary

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