A quantum mechanical point of view to perturbative problems in classical mechanics

DOI10.1063/1.530342zbMath0784.70017OpenAlexW2049174836MaRDI QIDQ4276749

Amalia Torre, Giuseppe Dattoli

Publication date: 6 April 1994

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

Full work available at URL: https://doi.org/10.1063/1.530342

zbMATH Keywords

evolution operatorLiouville problemquadratic HamiltoniansFeynman-Dyson expansion methodnoncollisional particles

Mathematics Subject Classification ID

Hamilton's equations (70H05) Perturbation theories for operators and differential equations in quantum theory (81Q15) Foundations, quantum information and its processing, quantum axioms, and philosophy (81P99)

Cites Work

• Theory of the alternating-gradient synchrotron
• On the Quantum Correction For Thermodynamic Equilibrium
• Lie Algebraic Solution of Linear Differential Equations
• The Radiation Theories of Tomonaga, Schwinger, and Feynman
• On the exponential solution of differential equations for a linear operator