Derivation of the Euler Equations from Quantum Dynamics
classification
🧮 math-ph
math.APmath.MP
keywords
dynamicsequationseulerassumptionsquantumtypeclassconjectures
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We derive the Euler equations from quantum dynamics for a class of fermionic many-body systems. We make two types of assumptions. The first type are physical assumptions on the solution of the Euler equations for the given initial data. The second type are a number of reasonable conjectures on the statistical mechanics and dynamics of the Fermion Hamiltonian.
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