Classical dynamics and its quantum analogues

DOI10.1007/978-3-642-74922-3zbMath0438.70001OpenAlexW1535582320MaRDI QIDQ1142048

David Park

Publication date: 1979

Published in: Lecture Notes in Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-74922-3

zbMATH Keywords

Hamilton-Jacobi equationSchrödinger equationPoisson bracketsquantum mechanicsnormal coordinatesrigid bodyEuler's equationsLagrange equationsgeometrical opticscanonical transformationsFeynman path integralsold quantum theoryFermat's principleclassical mechanicsquantum mechanical perturbation theorycontinuous systemsHamilton's equationsclassical perturbation theoryanharmonicBohr-Sommerfeld quantization conditionsgeneral relativistic Kepler problemHeisenberg's matrix mechanicsMaupertuisnon- relativistic Kepler problemoscillating systemsprinciples of Hamiltonquantum mechanical commutatorsquantum theory of rigid bodiesquasi-classical approximationsray optics in a gravitational fieldSchrödinger's variational principlespecial

Mathematics Subject Classification ID

Introductory exposition (textbooks, tutorial papers, etc.) pertaining to quantum theory (81-01) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to optics and electromagnetic theory (78-01) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to mechanics of deformable solids (74-01) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to mechanics of particles and systems (70-01) Hamiltonian and Lagrangian mechanics (70Hxx) General mathematical topics and methods in quantum theory (81Qxx)

Related Items (4)

Weakly elliptic systems of variational inequalities: A \(2 \times 2\) model problem with obstacles in both components ⋮ The small-energy three-body systems ⋮ Weakly elliptic systems with obstacle constraints. II: An \(N \times N\) model problem. ⋮ Canonical equivalence of integrable systems, their associated (semi)- groups, and moment systems

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