How to derive hydrodynamic equations from Heisenberg's equation of motion?

27 August 2024 1 8K Report

People usually derive hydrodynamic equations from the Boltzmann equation. How to derive fluid mechanics equations from Heisenberg equation?

Vishwanatha Shiva Kumar

The entire derivation is challenging, including quantum field theory, operator techniques, and statistical mechanics. It is not a frequent method since fluid mechanics is often developed from classical mechanics rather than quantum mechanics. However, in some high-energy or quantum fluid situations (such as superfluidity), such derivations can be useful.

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