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arXiv · 1411.7826

Quantum Processes and Energy-Momentum Flow

B. J. Hiley·D. Robson
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Abstract

In this paper we focus on energy flows in simple quantum systems. This is achieved by concentrating on the quantum Hamilton-Jacobi equation. We show how this equation appears in the standard quantum formalism in essentially three different but related ways, from the standard Schr\"{o}dingier equation, from Lagrangian field theory and from the von Neumann-Moyal algebra. This equation allows us to track the energy flow using the energy-momentum tensor, the components of which are related to weak values of the four-momentum operator. This opens up a new way to explore these components empirically. The algebraic approach enables us to discuss the physical significance of the underlying non-commutative symplectic geometry, raising questions as to the structure of particles in quantum systems.

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B. J. Hiley, D. Robson. 2014-11-28. Quantum Processes and Energy-Momentum Flow. https://arxiv.org/abs/1411.7826

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