Results 61 to 70 of about 8,950 (170)

Spectral Asymptotics for the Semiclassical Dirichlet to Neumann Operator [PDF]

Journal of Spectral Theory, 2017
Let M be a compact Riemannian manifold with smooth boundary, and let R(\lambda) be the Dirichlet–to–Neumann operator at frequency
Hassell, Andrew, Ivrii, Victor
openaire   +2 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

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

A Semiclassical Approach to the Nonlocal Nonlinear Schrödinger Equation with a Non-Hermitian Term

Mathematics
The nonlinear Schrödinger equation (NLSE) with a non-Hermitian term is the model for various phenomena in nonlinear open quantum systems. We deal with the Cauchy problem for the nonlocal generalization of multidimensional NLSE with a non-Hermitian term ...
Anton E. Kulagin, Alexander V. Shapovalov   +1 more
doaj   +1 more source

Semiclassical low energy scattering for one-dimensional Schr\"odinger operators with exponentially decaying potentials

, 2011
We consider semiclassical Schr\"odinger operators on the real line of the form $$H(\hbar)=-\hbar^2 \frac{d^2}{dx^2}+V(\cdot;\hbar)$$ with $\hbar>0$ small. The potential $V$ is assumed to be smooth, positive and exponentially decaying towards infinity. We
C.B. Balogh, D. Bollé, D.R. Yafaev, M. Klaus, N.M. Temme, O. Costin, Ovidiu Costin, P. Deift, R. Donninger, R. Donninger, R.G. Newton, Roland Donninger, Saleh Tanveer, T. Ramond, T. Regge, T.M. Dunster, W. Schlag, W. Schlag, Wilhelm Schlag   +18 more
core   +1 more source

Grey‐Body Factors and Absorption Cross‐Sections of Scalar and Dirac Fields in the Vicinity of Dilaton‐De Sitter Black Hole

Fortschritte der Physik, Volume 74, Issue 1, January 2026.
Abstract The propagation of a massive scalar field and a massless Dirac field in the geometry of a dilaton–de Sitter black hole is investigated. Starting from the covariant perturbation equations, the corresponding effective potentials are presented and their dependence on the dilaton charge, field mass, and cosmological constant is analyzed. Using the
Bekir Can Lütfüoğlu
wiley   +1 more source

Scattering phase asymptotics with fractal remainders

, 2012
For a Riemannian manifold $(M,g)$ which is isometric to the Euclidean space outside of a compact set, and whose trapped set has Liouville measure zero, we prove Weyl type asymptotics for the scattering phase with remainder depending on the classical ...
Dyatlov, Semyon, Guillarmou, Colin
core   +2 more sources

Geometric phases and coherent states for commensurate bichromatic polarization and astigmatic cavities

Nanophotonics, Volume 14, Issue 24, Page 4285-4299, December 2025.
Abstract Both the polarization state of coherent bichromatic fields produced by harmonic generation and a class of anisotropic paraxial optical cavities are examples of commensurate two‐dimensional harmonic oscillators. The geometric phase for these systems is studied here, both in the classical/ray and quantum/wave regimes. The quantum geometric phase
Miguel A. Alonso
wiley   +1 more source

Semiclassical limits for the QCD Dirac operator

, 2005
We identify three semiclassical parameters in the QCD Dirac operator. Mutual coupling of the different types of degrees of freedom (translational, colour and spin) depends on how the semiclassical limit is taken.
Amann, Banks, Bargman, Berbenni-Bitsch, Berry, Berry, Berry, Bolte, Bolte, Bolte, Bolte, Bolte, Bolte, Boya, Frisk, Gnutzmann, Gnutzmann, Gnutzmann, Guhr, Guhr, Guhr, Gutzwiller, Haake, Hannay, Janik, Keppeler, Kirillov, Littlejohn, Meinrenken, Montgomery, Osborn, Paul, Pletyukhov, Pletyukhov, Shuryak, Shushpanov, Smilga, Stefan Keppeler, Thomas, Thomas Guhr, Verbaarschot, Verbaarschot, Wong, Zyablyuk, ’t Hooft   +44 more
core   +2 more sources

Recursive Relations for the S‐matrix of Liouville Theory

Fortschritte der Physik, Volume 73, Issue 11, November 2025.
Abstract The relation between the vertex operators of the in and out fields in Liouville theory is analyzed. This is used to derive equations for the S‐matrix, from which a recursive relation for the normal symbol of the S‐matrix for discrete center‐of‐mass momenta is obtained.
George Jorjadze, Lado Razmadze, Stefan Theisen   +2 more
wiley   +1 more source