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A Semiclassical Approach to the Nonlocal Nonlinear Schrödinger Equation with a Non-Hermitian Term
MathematicsThe 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 +1 more
doaj +1 more source
Stochastic Dynamics From Maximum Entropy in Action Space
Fortschritte der Physik, Volume 74, Issue 5, May 2026.ABSTRACT We develop an information‐theoretic formulation of stochastic dynamics in which the fundamental stochastic variable is the total action connecting spacetime points, rather than individual paths. By maximizing Shannon entropy over a joint distribution of actions and endpoints, subject to normalization and a constraint on the mean action, we ...
Fabricio Souza Luiz +3 more
wiley +1 more source
Spectral asymptotics for stable trees [PDF]
, 2010 We calculate the mean and almost-sure leading order behaviour of the high frequency asymptotics of the eigenvalue counting function associated with the natural Dirichlet form on alpha-stable trees, which lead in turn to short-time heat kernel asymptotics
Croydon, David A., Hambly, Ben M.
core
Fortschritte der Physik, Volume 74, Issue 4, April 2026.Abstract String theory has strong implications for cosmology, implying the absence of a cosmological constant, ruling out single‐field slow‐roll inflation, and that black holes decay. The origins of these statements are elucidated within the string‐theoretical swampland programme.
Kay Lehnert
wiley +1 more source
Semiclassical Asymptotic Expansions for Functions of the Bochner–Schrödinger Operator
Russian Journal of Mathematical Physics, 2023 24 pages, v2: a result on asymptotic localization of eigenfunctions is ...
openaire +2 more sources
Poisson and Hochschild cohomology and the semiclassical limit [PDF]
, 2013 Let $B$ be a quantum algebra possessing a semiclassical limit $A$. We show that under certain hypotheses $B^e$ can be thought of as a deformation of the Poisson enveloping algebra of $A$, and we give a criterion for the Hochschild cohomology of $B$ to
Towers, Matthew
core
Annalen der Physik, Volume 538, Issue 3, March 2026.Carrollian Reissner‐Nordström black holes are investigated through fermionic tunneling, entropy‐corrected thermodynamics, and plasma‐modified gravitational lensing. The generalized uncertainty principle introduces minimal‐length corrections to the Hawking temperature, while the combined Barrow‐Exponential entropy reveals smooth thermodynamic crossovers
Erdem Sucu, İzzet Sakallı, Yusuf Sucu
wiley +1 more source
Small diffusion and fast dying out asymptotics for superprocesses as non-Hamiltonian quasiclassics for evolution equations [PDF]
, 2001 The small diffusion and fast dying out asymptotics is calculated for nonlinear evolution equations of a class of superprocesses on manifolds, and the corresponding logarithmic limit of the solution is shown to be given by a solution of a certain ...
Kolokoltsov, V. N. (Vasiliĭ Nikitich)
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Semiclassical inequalities for Dirichlet and Neumann Laplacians on convex domains
Communications on Pure and Applied Mathematics, Volume 79, Issue 3, Page 762-822, March 2026.Abstract We are interested in inequalities that bound the Riesz means of the eigenvalues of the Dirichlet and Neumann Laplacians in terms of their semiclassical counterpart. We show that the classical inequalities of Berezin–Li–Yau and Kröger, valid for Riesz exponents γ≥1$\gamma \ge 1$, extend to certain values γ<1$\gamma <1$, provided the underlying ...
Rupert L. Frank, Simon Larson
wiley +1 more source
Semiclassical analysis on compact nilmanifolds [PDF]
, 2022 In this paper, we develop a semiclassical calculus on compact nil-manifolds. As an application of the former, we obtain asymptotics such as generalised Weyl laws for positive Rockland operators on any graded compact nil-manifolds.
Fischer, Veronique
core +1 more source