skip to main content

SciTech ConnectSciTech Connect

Title: On the Born-Oppenheimer approximation of diatomic molecular resonances

We give a new reduction of a general diatomic molecular Hamiltonian, without modifying it near the collision set of nuclei. The resulting effective Hamiltonian is the sum of a smooth semiclassical pseudodifferential operator (the semiclassical parameter being the inverse of the square-root of the nuclear mass) and a semibounded operator localised in the elliptic region corresponding to the nuclear collision set. We also study its behaviour on exponential weights and give several applications where molecular resonances appear and can be well located.
Authors:
;  [1]
  1. Dipartimento di Matematica, Università di Bologna, Piazza di Porta San Donato, 40127 Bologna (Italy)
Publication Date:
OSTI Identifier:
22479539
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Mathematical Physics; Journal Volume: 56; Journal Issue: 10; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; BORN-OPPENHEIMER APPROXIMATION; COLLISIONS; HAMILTONIANS; MASS; NUCLEI; RESONANCE; SEMICLASSICAL APPROXIMATION