On the Born-Oppenheimer expansion for polyatomic molecules

A class of analytic perturbations for one-body Schrödinger Hamiltonians

José Edgar Madriz Aguilar, J. M. Combes · Communications in Mathematical Physics · 1971 · 1.2K citations

Hamiltonian Theory, Perturbation Method, Functional Analysis +2

Multiple wells in the semi-classical limit I

Bernard Helffer, Johannes Sjöstrand · Communications in Partial Differential Equations · 1984 · 460 citations

Multiple Wells, ∈R Quand H→0, Riemann-hilbert Problem +5

A mathematical approach to the effective Hamiltonian in perturbed periodic problems

Christian Gérard, André Martínez, Johannes Sjöstrand · Communications in Mathematical Physics · 1991 · 81 citations

Numerical Analysis, Mathematical Approach, Hamiltonian Theory +9

High order corrections to the time-independent Born-Oppenheimer approximation II: Diatomic Coulomb systems

George A. Hagedorn · Communications in Mathematical Physics · 1988 · 50 citations

Engineering, Perturbation Method, Physics +10

Regularity and asymptotic properties of the discrete spectrum of electronic hamiltonians

J. M. Combes, R. Seiler · International Journal of Quantum Chemistry · 1978 · 47 citations

Spectral Theory, Hamiltonian Theory, Separated Atoms +14