Results 31 to 40 of about 8,899 (159)

The semiclassical limit of eigenfunctions of the Schr\"odinger equation and the Bohr-Sommerfeld quantization condition, revisited

, 2010
Consider the semiclassical limit, as the Planck constant $\hbar\ri 0$, of bound states of a quantum particle in a one-dimensional potential well. We justify the semiclassical asymptotics of eigenfunctions and recover the Bohr-Sommerfeld quantization ...
Yafaev, D. R.
core   +3 more sources

Topological Expansion and Exponential Asymptotics in 1D Quantum Mechanics [PDF]

, 1999
Borel summable semiclassical expansions in 1D quantum mechanics are considered. These are the Borel summable expansions of fundamental solutions and of quantities constructed with their help.
Balian R, Balian R, Bateman H, Bentosela F, Berry M V, Berry M V, Berry M V, Berry M V, Carlitz R N, Carlitz R N, Combes J-M, Delabaere E, Ecalle J, Ecalle J Cinq application des fonctions resurgentes, Eden R J, Fedoryuk M V, Fröman N, Giller S, Giller S, Giller S, Giller S, Hagedorn G A, Horzela A, Landau L D, Nicole D A, Simon B, Stefan Giller, Sternin B, Voros A, Zinn-Justin J   +29 more
core   +3 more sources

Double-logarithms in N $$ \mathcal{N} $$ = 8 supergravity: impact parameter description & mapping to 1-rooted ribbon graphs

Journal of High Energy Physics, 2019
The set of double-logarithmic (DL) contributions (α t ln2 s) n to the 4-graviton amplitude in N $$ \mathcal{N} $$ = 8 supergravity (SUGRA), with α being the gravitational coupling and (s, t) the Mandelstam invariants, is studied in impact parameter (ρ ...
Agustín Sabio Vera
doaj   +1 more source

Semiclassical form factor for chaotic systems with spin 1/2

, 1999
We study the properties of the two-point spectral form factor for classically chaotic systems with spin 1/2 in the semiclassical limit, with a suitable semiclassical trace formula as our principal tool.
Barut A O, Berry M V, Berry M V, Bohigas O, Bowen R, Cornfeld I P, Duistermaat J J, Gutzwiller M C, Gutzwiller M C, Haake F, Hannay J H, Jens Bolte, Klein O, Kramers H A, Mehta L M, Montgomery H L, Parry W, Rudnick Z, Scharf R, Stefan Keppeler, Wigner E P   +20 more
core   +3 more sources

Spectral asymptotics of semiclassical unitary operators

Journal of Mathematical Analysis and Applications, 2019
This paper establishes an aspect of Bohr's correspondence principle, i.e. that quantum mechanics converges in the high frequency limit to classical mechanics, for commuting semiclassical unitary operators. We prove, under minimal assumptions, that the semiclassical limit of the convex hulls of the quantum spectrum of a collection of commuting ...
Yohann Le Floch, Álvaro Pelayo
openaire   +3 more sources

Quantum Jumps in Amplitude Bistability: Tracking a Coherent and Invertible State Localization

Annalen der Physik, Volume 538, Issue 1, January 2026.
A notable asymmetry is shown to characterize the bistable switching between macroscopic metastable states of light in the strong‐coupling limit of radiation–matter interaction. Transitions from the vacuum to a highly excited state correlate with a highly bunched sequence of emitted photons, while a downward switch to the vacuum involves a coherent ...
Th. K. Mavrogordatos
wiley   +1 more source

Two-point correlations of the Gaussian symplectic ensemble from periodic orbits

, 2000
We determine the asymptotics of the two-point correlation function for quantum systems with half-integer spin which show chaotic behaviour in the classical limit using a method introduced by Bogomolny and Keating [Phys. Rev. Lett.
Berry M V, Bogomolny E, Bolte J, Gutzwiller M C, Haake F, Hannay J H, Keating J P, Mehta M L, Parry W, Stefan Keppeler   +9 more
core   +2 more sources

Replica Wormholes and Quantum Hair

Fortschritte der Physik, Volume 74, Issue 1, January 2026.
Abstract The recent applications of Euclidean path integrals to the black hole information problem are discussed. In calculations with replica wormholes as the next‐to‐leading order correction to the Gibbons–Hawking saddlepoint, the radiation density matrix approaches a pure state at late times, following the Page curve.
Xavier Calmet, Stephen D. H. Hsu
wiley   +1 more source

On a selection principle for multivalued semiclassical flows [PDF]

, 2014
We study the semiclassical behaviour of solutions of a Schr ̈odinger equation with a scalar po- tential displaying a conical singularity. When a pure state interacts strongly with the singularity of the flow, there are several possible classical ...
Athanassoulis, Agissilaos, Katsaounis, Theodoros, Kyza, Irene   +2 more
core  

On semiclassical dispersion relations of Harper-like operators

, 2004
We describe some semiclassical spectral properties of Harper-like operators, i.e. of one-dimensional quantum Hamiltonians periodic in both momentum and position.
Aubry S, Azbel M Ya, Azbel M Ya, Brüning J, Brüning J, Brüning J, Buslaev V S, Demikhovskii V Ya, Faure F, Filonov N, Harper P G, Hatsugai Y, Helffer B, Konstantin Pankrashkin, Last Y, Maslov V P, Thouless D J, Watson G I, Wilkinson M   +18 more
core   +2 more sources