Quantum mechanics does not provide any ready recipe for defining energy density in space, since the energy and coordinate do not commute. To find a well-motivated energy density, we start from a possibly fundamental, relativistic description for a spin-12 particle: Dirac's equation.
Jan 10, 2024
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May 9, 2023 · Quantum mechanics does not provide any ready recipe for defining energy density in space, since the energy and coordinate do not commute.
Jan 4, 2024 · In classical statistical mechanics, the energy density and current are defined from the joint probability of coordinate and momen- tum. This ...
There are several definitions of energy density in quantum mechanics. These yield expressions that differ locally, but all satisfy a continuity equation and ...
What about energy density and its local conservation? Useful in all processes of energy transfer, e.g. group velocity of energy transfer. Page 3 ...
Specifically, the appropriate energy density, evaluated at the wall corresponds to the force exerted by the particle locally, against which the work is done. We ...
It is shown that the energy density e and the energy current density Q are related by the equation (de/dt)+V·Q= S, where S represents external power sources.
Sep 11, 2024 · There are several definitions of energy density in quantum mechanics. These yield expressions that differ locally, but all satisfy a continuity ...
Sep 22, 2022 · Increasing a system's energy density implies increasing certainty about its energy and position. This implies a large uncertainty about the ...
Nov 23, 2023 · Specifically, the appropriate energy density, evaluated at the wall corresponds to the force exerted by the particle locally, against which the ...