Perturbation theory and molecular dynamics

DOI10.1007/978-1-0716-2621-4_399zbMath1548.81013MaRDI QIDQ6599401

Gianluca Panati

Publication date: 6 September 2024

zbMATH Keywords

perturbation theorymolecular dynamicsBorn-Oppenheimer approximation

Mathematics Subject Classification ID

Research exposition (monographs, survey articles) pertaining to quantum theory (81-02) Perturbation theories for operators and differential equations in quantum theory (81Q15) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Molecular physics (81V55) Computational molecular dynamics in statistical mechanics (82M37)

Cites Work

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• Topologically coupled energy bands in molecules
• High order corrections to the time-dependent Born-Oppenheimer approximation. I: Smooth potentials
• A time dependent Born-Oppenheimer approximation
• On the Born-Oppenheimer expansion for polyatomic molecules
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• On the behavior of eigenvalues in adiabatic processes
• Zur Quantentheorie der Molekeln.
• A general reduction scheme for the time-dependent Born-Oppenheimer approximation.
• The level crossing problem in semi-classical analysis. II: The Hermitian case.
• On the Born-Oppenheimer approximation of wave operators in molecular scattering theory
• Adiabatic expansions near eigenvalue crossings
• Geometry of the transport equation in multicomponent WKB approximations
• Mesures semi-classiques et croisement de modes
• Scattering amplitude for dirac operators
• Molecular propagation through electron energy level crossings
• On the Born–Oppenheimer approximation of diatomic wave operators. II. Singular potentials
• The Born–Oppenheimer Approximation: Straight-Up and with a Twist
• Reduction Scheme for Semiclassical Operator-Valued Schrödinger Type Equation and Application to Scattering
• Wigner measures and codimension two crossings
• Semiclassical limit for multistate Klein–Gordon systems: almost invariant subspaces, and scattering theory
• Propagation through conical crossings: An asymptotic semigroup
• Topological properties of the Born-Oppenheimer approximation and implications for the exact spectrum
• Adiabatic decoupling and time-dependent Born-Oppenheimer theory

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