Premium
Double Well Hamiltonians
Author(s) -
Davies E. B.
Publication year - 1984
Publication title -
proceedings of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.899
H-Index - 65
eISSN - 1460-244X
pISSN - 0024-6115
DOI - 10.1112/plms/s3-49.2.193
Subject(s) - mathematics , eigenvalues and eigenvectors , hamiltonian (control theory) , degeneracy (biology) , operator (biology) , mathematical physics , measure (data warehouse) , spectrum (functional analysis) , pure mathematics , quantum mechanics , physics , mathematical optimization , computer science , bioinformatics , biochemistry , chemistry , repressor , database , gene , transcription factor , biology
We formulate a notion of a double well Hamiltonian on an abstract measure space, in a way which does not depend upon the approximate degeneracy of the lowest eigenvalue as did our previous analysis of this problem. We show that our definition is stable under the addition of a potential of order unity, and use it to analyse the spectrum of a double well Schrödinger operator in a variable external field.