-symmetric quantum mechanics

CM Bender, DW Hook - Reviews of Modern Physics, 2024 - APS
It is generally assumed that a Hamiltonian for a physically acceptable quantum system (one
that has a positive-definite spectrum and obeys the requirement of unitarity) must be …

[BOOK][B] Functional integration and quantum physics

B Simon - 1979 - books.google.com
Page 1 Page 2 Page 3 FUNCTIONAL INTEGRATION AND QUANTUM PHYSICS SECOND
EDITION This One EAH9-RTO-NUBO Page 4 Page 5 FUNCTIONAL INTEGRATION AND …

Maximum entropy in the problem of moments

LR Mead, N Papanicolaou - Journal of Mathematical Physics, 1984 - pubs.aip.org
The maximum-entropy approach to the solution of underdetermined inverse problems was
introduced some time ago. I• 2 Following the original contributions, there has been a long …

Anharmonic oscillator. II. A study of perturbation theory in large order

CM Bender, TT Wu - Physical Review D, 1973 - APS
This paper is concerned with the nature of perturbation theory in very high order.
Specifically, we study the Rayleigh-Schrödinger expansion of the energy eigenvalues of the …

From useful algorithms for slowly convergent series to physical predictions based on divergent perturbative expansions

E Caliceti, M Meyer-Hermann, P Ribeca, A Surzhykov… - Physics reports, 2007 - Elsevier
This review is focused on the borderline region of theoretical physics and mathematics. First,
we describe numerical methods for the acceleration of the convergence of series. These …

Perturbation theory at large order. I. The interaction

E Brézin, JC Le Guillou, J Zinn-Justin - Physical Review D, 1977 - APS
A new method for calculating the large orders of perturbation theory in quantum field
theories has been discussed recently by Lipatov. We show that the same method applied to …

On constrained instantons

I Affleck - Nuclear Physics B, 1981 - Elsevier
A simple method is presented for doing systematic constrained instanton calculations in
models such as φ 4 or Higgs theories where the presence of a mass term prevents the …

Coupled anharmonic oscillators. I. Equal-mass case

T Banks, CM Bender, TT Wu - Physical Review D, 1973 - APS
This is the first in a series of papers on the large-order behavior of perturbation theory for
coupled anharmonic oscillators. We exploit previously published dispersion techniques to …

Semiclassical analysis of low lying eigenvalues, II. Tunneling

B Simon - Annals of Mathematics, 1984 - JSTOR
We discuss the leading asymptotics of eigenvalue splittings of-1/2 Δ+ λ2V in the limit as
λ→∞, and where V is a non-negative potential with several zeros. For example, if E0 (λ), E1 …

Decoding perturbation theory using resurgence: Stokes phenomena, new saddle points and Lefschetz thimbles

A Cherman, D Dorigoni, M Ünsal - Journal of High Energy Physics, 2015 - Springer
A bstract Resurgence theory implies that the non-perturbative (NP) and perturbative (P) data
in a QFT are quantitatively related, and that detailed information about non-perturbative …