Jacobi operators with λ-scaled diagonals exhibit essentially singular limits as λ→0, with subsequential strong resolvent convergence to any self-adjoint extension of the limit, applied to show non-unique selection in higher-order squeezing operators.
Jaynes-Cummings model without rotating wave approximation. Asymptotics of eigenvalues
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
In this paper the perturbation theory with the frequency of transition in atom as perturbation parameter is constructed. The estimation of the reminder term of series of this perturbation theory is given. With the help of this perturbation theory we have found an exact asymptotics of eigenvalues of complete hamiltonian in the limit of high quantum numbers. It is shown that the counter-rotating terms keep a leading term but absolutely change a second term of this asymptotic.
citation-role summary
background 1
citation-polarity summary
fields
math-ph 1years
2026 1verdicts
UNVERDICTED 1roles
background 1polarities
background 1representative citing papers
citing papers explorer
-
Essentially singular limits of Jacobi operators and applications to higher-order squeezing
Jacobi operators with λ-scaled diagonals exhibit essentially singular limits as λ→0, with subsequential strong resolvent convergence to any self-adjoint extension of the limit, applied to show non-unique selection in higher-order squeezing operators.