Results 61 to 70 of about 8,899 (159)

Scott correction for large atoms and molecules in a self-generated magnetic field

, 2011
We consider a large neutral molecule with total nuclear charge $Z$ in non-relativistic quantum mechanics with a self-generated classical electromagnetic field.
A.V. Sobolev, A.V. Sobolev, C. Fefferman, E.H. Lieb, E.H. Lieb, E.H. Lieb, E.H. Lieb, H. Siedentop, H. Siedentop, H. Siedentop, J. Fröhlich, J.P. Solovej, J.P. Solovej, Jan Philip Solovej, L. Erdős, László Erdős, R.L. Frank, R.L. Frank, Søren Fournais, V.I. Ivrii, W. Hughes   +20 more
core   +1 more source

Semiclassical Asymptotics on Manifolds with Boundary

, 2008
28 ...
Koldan, Nilufer, Prokhorenkov, Igor, Shubin, Mikhail   +2 more
openaire   +2 more sources

Quantum Mechanics in Plasmonic Nanocavities: from Theory to Applications

Advanced Physics Research, Volume 4, Issue 4, April 2025.
Plasmonic nanocavities based on nanoparticle‐on‐mirror (NPoM) geometry provide a facile and versatile platform for quantum plasmonics and its applications. This review focuses on the fundamental theories of quantum plasmonics, its modeling and computation strategies, and its applications. It is suggested that the proper selection of material systems is
Tao Ding, Christos Tserkezis, Christos Mystilidis, Guy A. E. Vandenbosch, Xuezhi Zheng   +4 more
wiley   +1 more source

Semiclassical asymptotics, gauge fields, and quantum chaos

Journal of Functional Analysis, 1989
A gauge field is given by a connection on a principal bundle P → M. We consider the semiclassical behavior of a family of Schrödinger operators associated with a gauge field, in the limit as . We relate the spectral theory of such operators to behavior of the Hamiltonian flow on the natural phase space associated to a gauge field, examining in ...
Schrader, Robert, Taylor, Michael E
openaire   +1 more source

Sourcing the Kerr Geometry

Fortschritte der Physik, Volume 73, Issue 4, April 2025.
Abstract The Kerr metric is a vacuum solution of the Einstein equations outside of a rotating black hole (BH), but what interior matter is actually rotating and sourcing the Kerr geometry? Here, a rotating exotic matter is described, which can source the Kerr geometry for the entire acceptable range of its spin parameter and be shown to saturate the ...
Ram Brustein, A.J.M. Medved
wiley   +1 more source

A New Recursion Relation for the 6j-Symbol

, 2011
The 6j-symbol is a fundamental object from the re-coupling theory of SU(2) representations. In the limit of large angular momenta, its asymptotics is known to be described by the geometry of a tetrahedron with quantized lengths.
A. Baratin, A. Perez, D.A. Varshalovich, E. Dennis, Etera R. Livine, J. Roberts, J.C. Baez, J.C. Baez, J.D. Christensen, J.W. Barrett, J.W. Barrett, J.W. Barrett, J.W. Barrett, J.W. Barrett, J.W. Barrett, K. Schulten, K. Schulten, L. Freidel, L. Freidel, L. Freidel, M. Carfora, M. Dupuis, M. Dupuis, M.A. Levin, R. Gurau, R.G. Littlejohn, R.J. Dowdall, R.W. Anderson, V. Aquilanti, V. Bonzom, V. Bonzom, V. Bonzom, V.G. Turaev, Valentin Bonzom, X.G. Wen   +34 more
core   +1 more source

An exotic calculus of Berezin–Toeplitz operators

Mathematika, Volume 71, Issue 2, April 2025.
Abstract We develop a calculus of Berezin–Toeplitz operators quantizing exotic classes of smooth functions on compact Kähler manifolds and acting on holomorphic sections of powers of positive line bundles. These functions (classical observables) are exotic in the sense that their derivatives are allowed to grow in ways controlled by local geometry and ...
Izak Oltman
wiley   +1 more source

Non-planar corrections in ABJM theory from quantum M2 branes

Journal of High Energy Physics
The quantization of semiclassical strings in AdS spacetimes yields predictions for the strong-coupling behaviour of the scaling dimensions of the corresponding operators in the planar limit of the dual gauge theory.
Simone Giombi, Stefan A. Kurlyand, Arkady A. Tseytlin   +2 more
doaj   +1 more source

Complex Time Solutions with Nontrivial Topology and Multi Particle Scattering in Yang-Mills Theory

, 1993
A classical solution to the Yang-Mills theory is given a new semiclassical interpretation in terms of particle scattering. It solves the complex time boundary value problem, which arises in the semiclassical approximation to a multi particle transition ...
't Hooft, 't Hooft, Affleck, Belavin, Bogomol'nyi, Callan, Doneux, Doneux, Erich R. Poppitz, Espinosa, Farhi, Gould, Hsu, Jackiw, Khelebnikov, Khlebnikov, Khlebnikov, Lüscher, Mattis, Mattis, Meetz, Mueller, Mueller, Ringwald, Rubakov, Rubakov, Schechter, Thomas M. Gould, Tinyakov   +28 more
core   +1 more source

Integral formulation of Klein–Gordon singular waveguides

Communications on Pure and Applied Mathematics, Volume 78, Issue 2, Page 323-365, February 2025.
Abstract We consider the analysis of singular waveguides separating insulating phases in two‐space dimensions. The insulating domains are modeled by a massive Schrödinger equation and the singular waveguide by appropriate jump conditions along the one‐dimensional interface separating the insulators. We present an integral formulation of the problem and
Guillaume Bal, Jeremy Hoskins, Solomon Quinn, Manas Rachh   +3 more
wiley   +1 more source