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 The classical dispersion relation \(P_iP^i-(mc)^2=0\) is no longer valid, unless one deals with plane waves of constant amplitude in space and time.
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- 1.
It is obvious that the density operator goes beyond the notion of probability, involving quantum interference, too. More general forms than (2.2) describe ‘mixed states’ or equivalently a statistical ensemble of quantum states.
- 2.
It reflects the essentially delocalized nature of coherent states.
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Biró, T.S., Jakovác, A. (2019). Off-Shell Transport Dynamics. In: Emergence of Temperature in Examples and Related Nuisances in Field Theory. SpringerBriefs in Physics. Springer, Cham. https://doi.org/10.1007/978-3-030-11689-7_2
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