Schrödinger operators with magnetic fields. I. general interactions

Holonomy, the Quantum Adiabatic Theorem, and Berry's Phase

Barry Simon · Physical Review Letters · 1983 · 1.8K citations

Spectral Theory, Quantum Science, Eigenvalue Degeneracies +14

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

Coupling constant analyticity for the anharmonic oscillator

Barry Simon, Arnold A. Dicke · Annals of Physics · 1970 · 690 citations

Integrable System, Nonlinear Resonance, Physics +1

The bound state of weakly coupled Schrödinger operators in one and two dimensions

Barry Simon · Annals of Physics · 1976 · 548 citations

Spectral Theory, Quantum Science, Quantum Dynamic +9

Asymptotic Convergence and the Coulomb Interaction

John Dollard · Journal of Mathematical Physics · 1964 · 466 citations

Spectral Theory, Engineering, Perturbation Method +12