搜索结果: 1-15 共查到“数学物理 quantum”相关记录79条 . 查询时间(0.171 秒)
三亚国际数学论坛:Black Holes,Quantum Chaos,and Solvable Quantum Systems
三亚国际数学论坛 Black Holes Quantum Chaos Solvable Quantum Systems
2017/11/24
String theory is a consistent mathematical framework for quantum gravity, a deep question in both fundamental physics and mathematics. One of the main achievements during the past two decades is the d...
On a Recent Construction of "Vacuum-like" Quantum Field States in Curved Spacetime
"Vacuum-like" Quantum Field States Curved Spacetime Mathematical Physics
2012/6/29
Afshordi, Aslanbeigi and Sorkin have recently proposed a construction of a distinguished "S-J state" for scalar field theory in (bounded regions of) general curved spacetimes. We establish rigorously ...
Non-diagonal open spin-1/2 XXZ quantum chains by separation of variables: Complete spectrum and matrix elements of some quasi-local operators
Non-diagonal open spin-1/2 XXZ quantum chains by separation of variables Complete spectrum matrix elements Mathematical Physics
2012/6/19
The integrable quantum models associated to the transfer matrices of spin 1/2 highest weight representations for the 6-vertex reflection algebra are studied in the framework of Sklyanin's quantum sepa...
Convergent Quantum Normal Forms, ${\mathcal P}{\mathcal T}$-symmetry and reality of the spectrum
Convergent Quantum Normal Forms reality of the spectrum Mathematical Physics
2012/6/19
A class of non-selfadjoint, $\PT$-symmetric operators is identified similar to a self-adjoint one, thus entailing the reality of the spectrum. The similarity transformation is explicitly constructed t...
A Bloch decomposition based split-step pseudo spectral method for quantum dynamics with periodic potentials
Schrodinger equation Bloch decomposition time-splitting spectral method semiclassical asymptotics lattice potential
2012/5/24
We present a new numerical method for accurate computations of solutions to (linear) one dimensional Schr\"odinger equations with periodic potentials. This is a prominent model in solid state physics ...
Disordered quantum wires: microscopic origins of the DMPK theory and Ohm's law
Disordered quantum wires microscopic origins the DMPK theory Ohm's law Mathematical Physics
2012/4/23
We study the electronic transport properties of the Anderson model on a strip, modeling a quasi one-dimensional disordered quantum wire. In the literature, the standard description of such wires is vi...
We use the fractional calculus of Kobelev to produce a fractional quantum potential for a corresponding Schrodinger type equation.
On quantum Huygens principle and Rayleigh scattering
quantum Huygens principle Rayleigh scattering ionization
2012/2/29
We prove several minimal photon velocity estimates below the ionization threshold for a particle system coupled to the quantized electromagnetic or phonon field. Using some of these results, we prove ...
Supersymmetric Quantum Mechanics with Reflections
supersymmetric quantum mechanics Dunkl and reflection operators Scarf potential little-1 Jacobi polynomials
2011/9/22
Abstract: We consider a realization of supersymmetric quantum mechanics where supercharges are differential-difference operators with reflections. A supersymmetric system with an extended Scarf I pote...
Quantum Painleve-Calogero Correspondence
Quantum Painleve-Calogero Correspondence Mathematical Physics
2011/9/22
Abstract: The Painleve-Calogero correspondence is extended to auxiliary linear problems associated with Painleve equations. The linear problems are represented in a new form which has a suggestive int...
Quantum fields in toroidal topology
Quantum fields Topology Compactification c*-and Lie algebra
2011/10/10
Abstract: The standard representation of c*-algebra is used to describe fields in compactified space-time dimensions characterized by topologies of the type $ \Gamma_{D}^{d}=(\mathbb{S}^{1})^{d}\times...
Mathematical Modeling of Finite Quantum Systems
Finite Quantum Systems Quantum Physics High Energy Physics - Theory
2011/10/10
Abstract: We consider the problem of quantum behavior in the finite background. Introduction of continuum or other infinities into physics leads only to technical complications without any need for th...
Anti de Sitter quantum field theory and a new class of hypergeometric identities
hypergeometric identities High Energy Physics - Theory Anti de Sitter quantum field theory
2011/10/9
Abstract: We use Anti-de Sitter quantum field theory to prove a new class of identities between hypergeometric functions related to the K\"all\'en-Lehmann representation of products of two Anti-de Sit...
Induced Ginibre ensemble of random matrices and quantum operations
Induced Ginibre ensemble random matrices quantum operations
2011/9/20
Abstract: A generalisation of the Ginibre ensemble of non-Hermitian random square matrices is introduced. The corresponding probability measure is induced by the ensemble of rectangular Gaussian matri...
On the Supersymmetric Spectra of two Planar Integrable Quantum Systems
Supersymmetric Spectra Planar Integrable Quantum Systems High Energy Physics - Theory
2011/10/9
Abstract: Two planar supersymmetric quantum mechanical systems built around the quantum integrable Kepler/Coulomb and Euler/Coulomb problems are analyzed in depth. The supersymmetric spectra of both s...