Perturbation theory and the classical limit of quantum mechanics
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Publication:4345146
DOI10.1063/1.532025zbMath0893.70014OpenAlexW2068245601MaRDI QIDQ4345146
Publication date: 18 September 1997
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://semanticscholar.org/paper/9eca0756cb49b6f7f959011c096cb95fdb28dfa0
harmonic oscillatorcoherent stateanharmonic potentialtime-dependent perturbation theoryPoincaré-Lindstedt seriestime-independent perturbation theory
Perturbation theories for operators and differential equations in quantum theory (81Q15) Hamiltonian and Lagrangian mechanics (70H99)
Related Items (3)
Classical limit of large \(N\) gauge theories with conformal symmetry ⋮ Octic anharmonic oscillators: Perturbed coherent states and the classical limit ⋮ A simple algebraic approach to a nonlinear quantum oscillator
Cites Work
- The general anharmonic \(x^{2q+2}\) damped oscillator and the coherent state representation
- The Schrödinger equation and canonical perturbation theory
- Uniformly damped general coupled anharmonic oscillators and the coherent state representation
- Birkhoff-Gustavson normal form in classical and quantum mechanics
- Perturbative quantum dynamics: variants of the Dirac method
- Canonical perturbation expansions to large order from classical hypervirial and Hellmann–Feynman theorems
- On the summation of the Birkhoff–Gustavson normal form of an anharmonic oscillator
- Quantum mechanics as classical mechanics plus quantum corrections: the cubic anharmonic oscillator
- The Birkhoff–Gustavson normal form of one-dimensional double-well Hamiltonians
- Coherent and Incoherent States of the Radiation Field
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