Results 61 to 70 of about 48,968 (172)
Joint distribution of Hecke eigenforms on H3$ \mathbb {H}^3$
Mathematische Nachrichten, Volume 299, Issue 3, Page 661-674, March 2026.Abstract We prove a joint value equidistribution statement for Hecke–Maaß cusp forms on the hyperbolic three‐space H3$\mathbb {H}^3$. This supports the conjectural statistical independence of orthogonal cusp forms.
Didier Lesesvre +2 more
wiley +1 more source
Comparative asymptotics for discrete semiclassical orthogonal polynomials
Bulletin of Mathematical Sciences, 2022 We study the ratio $frac{P_{n}left( x;zright) }{phi_{n}left( xright)}$ asymptotically as $nrightarrowinfty,$ where the polynomials $P_{n}left(x;zright) $ are orthogonal with respect to a discrete linear functional and $phi_{n}left( xright) $ denote the falling factorial polynomials.
openaire +4 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
Semiclassical asymptotics for the spectral function of long-range Schrödinger operators [PDF]
, 1989 We obtain semiclassical asymptotics for the spectral function of Schrödinger operators with long-range potentials. We study the case of non-trapping energy levels and also the case of a potential well inside an island, where resonances due to trapped ...
Gerard, C., Martinez, A.
core +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
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
Complete Differentiable Semiclassical Spectral Asymptotics [PDF]
, 2019 For an operator $A:= A_h= A^0(hD) + V(x,hD)$ with a "potential" $V$ decaying as $|x|\to \infty$ we establish under certain assumptions the complete and differentiable with respect to $τ$ asymptotics of $e_h(x,x,τ)$ where $e_h(x,y,τ)$ is the Schwartz kernel of the spectral projector.
openaire +2 more sources
Advances in High Energy Physics, Volume 2026, Issue 1, 2026.In this paper, we presented an approximate analytical treatment of the Coulomb plus logarithmic potential using time‐independent perturbation theory to investigate the mass spectra of bottomonium and charmonium mesons for the low‐order quantum states.
E. Omugbe +4 more
wiley +1 more source
Exponential asymptotics and gravity waves [PDF]
, 2006 The problem of irrotational inviscid incompressible free-surface flow is examined in the limit of small Froude number. Since this is a singular perturbation, singularities in the flow field (or its analytic continuation) such as stagnation points, or ...
Vanden-Broeck, J-.M. +8 more
core +1 more source
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