搜索结果: 1-15 共查到“理学 Ground States”相关记录16条 . 查询时间(0.06 秒)
We study the nature of the Nonlinear Schr\"odinger equation ground states on the product spaces $\R^n\times M^k$, where $M^k$ is a compact Riemannian manifold. We prove that for small $L^2$ masses the...
Quantum Ground States as Equilibrium Particle-Vacuum Interaction States
Quantum ground states Vacuum fluctuations Particle‐vacuum interaction states Zero‐point fluctuations Harmonic oscillator quantum ground state
2012/4/20
A remarkable feature of atomic ground states is that they are observed to be radiationless in nature, despite (from a classical viewpoint) typically involving charged particles in accelerated motions....
Spectra and ground states of one- and two-dimensional laser-driven lattices of ultracold Rydberg atoms
Spectra ground states one- and two-dimensional laser-driven lattices ultracold Rydberg atoms
2012/2/28
We investigate static properties of laser-driven, ultracold Rydberg atoms confined to one- and two-dimensional uniform lattices in the limit of vanishing laser coupling. The spectral structure of squa...
Asymptotic stability of ground states in some Hamiltonian PDEs with symmetry
Asymptotic stability of ground states Hamiltonian PDEs symmetry
2011/9/22
Abstract: We consider a ground state (soliton) of a Hamiltonian PDE. We prove that if the soliton is orbitally stable then it is also asymptotically stable. The main assumptions are transversal nondeg...
On asymptotic stability of moving ground states of the nonlinear Schrodinger equation
asymptotic stability nonlinear Schrodinger equation Analysis of PDEs
2011/9/20
Abstract: We extend to the case of moving solitons, the result on asymptotic stability of ground states of the NLS with a short range linear potential obtained by the author in a previous paper. Now w...
On the Space of Symmetric Operators with Multiple Ground States
Symmetric Operators Multiple Ground States Algebraic Topology
2011/9/9
Abstract: We study homological structure of the filtrations of the space of self-adjoint operators by the multiplicity of the ground state. We consider only operators acting in a finite dimensional co...
Ground states of semi-relativistic Pauli-Fierz and no-pair Hamiltonians in QED at critical Coulomb coupling
Existence of ground states exponential localization no-pair Hamiltonian quantum electrodynamics
2011/7/26
Abstract: We consider the semi-relativistic Pauli-Fierz Hamiltonian and a no-pair model of a hydrogen-like atom interacting with a quantized photon field at the respective critical values of the Coulo...
Surface Gap Soliton Ground States for the Nonlinear Schrödinger Equation
Surface Gap Soliton Ground States the Nonlinear Schrö dinger Equation
2010/11/18
We consider the nonlinear Schr\"{o}dinger equation $(-\Delta +V(x))u = \Gamma(x) |u|^{p-1}u$, $x\in \R^n$ with $V(x) = V_1(x) \chi_{\{x_1>0\}}(x)+V_2(x) \chi_{\{x_1<0\}}(x)$ and $\Gamma(x) = \Gamma_1(...
Quantum Potentials with q-Gaussian Ground States
Quantum Potentials q-Gaussian Ground States
2010/11/23
We determine families of spherically symmetrical D-dimensional quantum potential functions
V (r) having ground state wavefunctions that exhibit, either in configuration or in momentum space,the form ...
For a class of nonnegative, range-1 pair potentials in one dimensional continuous space we prove that any classical ground state of lower density 1 is a tower-lattice, i.e., a lattice formed by towe...
Ground states of unfrustrated spin Hamiltonians satisfy an area law
Ground states spin Hamiltonians area law
2010/10/20
We show that ground states of unfrustrated quantum spin-1=2 systems on general lattices satisfy an entanglement area law, provided that the Hamiltonian can be decomposed into nearest-neighbor interact...
Uniqueness and Nondegeneracy of Ground States for $(-\Delta)^s Q + Q - Q^{\alpha+1} = 0$ in $\R$
Uniqueness Nondegeneracy of Ground States
2010/12/9
We prove uniqueness of ground state solutions Q = Q(|x|) > 0 for the nonlinear equation (−)sQ + Q − Q +1 = 0 in R,where 0 < s < 1 and 0 < < 4s 1−2s for s < 1/2 and 0 < < 1 for s...
Reformulation of the Covering and Quantizer Problems as Ground States of Interacting Particles
Reformulation Covering Quantizer Problems Ground States
2010/12/16
It is known that the sphere packing problem and the number variance problem (closely related
to an optimization problem in number theory) can be posed as energy minimizations associated
with an infi...
Pointwise estimates for the ground states of some classes of positivity preserving operators
Hardy’s inequality ground state ultracontractivity Dirichlet form energy measure
2010/11/29
We establish pointwise estimates for the ground states of some classes of posi-tivity preserving operators. The considered operators are negatively perturbed (by measures) strongly local Dirichlet ope...
Symmetry Breaking Ground States of Bose-Einstein Condensates in 1D Double
Square Well and Optical Lattice Well
Bose-Einstein condensates symmetry breaking state phase transition
2007/8/15
2005Vol.43No.5pp.814-818DOI:
Symmetry Breaking Ground States of Bose-Einstein Condensates in 1D Double
Square Well and Optical Lattice Well
YUAN Qing-Xin and DING Guo-Hui
...