Hamilton–Jacobi formulation and quantum theory of thermal wave propagation in the solid state

DOI10.1063/1.526737zbMath0585.73002OpenAlexW1977585231MaRDI QIDQ3709953

Andreas Mandelis

Publication date: 1985

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.526737

zbMATH Keywords

transformationsgeneralized coordinateseikonal equationLiouville equationparametricWeber-Hermite equationsingle eigenvaluecanonical coordinate-dependent Schrödinger equationcanonically conjugated momentaEhrenfest's theoremsFourier-Helmholtz equationheat conduction equation in the Hamilton-Jacobi formalismLagrangian function satisfies Euler equationquantum mechanical thermal harmonic oscillatorthermal wave operatorsvariational Fermat principle

Mathematics Subject Classification ID

Thermodynamics in solid mechanics (74A15) Heat equation (35K05) Quantum field theory; related classical field theories (81T99)

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