Results 41 to 50 of about 458 (100)

New Non-Symmetric Orthogonal Basis for the Calogero Model with Distinguishable Particles

open access: yes, 1998
We demonstrate an algebraic construction of all the simultaneous eigenfunctions of the conserved operators for distinguishable particles governed by the Calogero Hamiltonian.
Nishino, Akinori   +2 more
core   +1 more source

On the Green function of linear evolution equations for a region with a boundary

open access: yes, 2000
We derive a closed-form expression for the Green function of linear evolution equations with the Dirichlet boundary condition for an arbitrary region, based on the singular perturbation approach to boundary problems.Comment: 9 ...
Albeverio S   +19 more
core   +1 more source

Wilson lines on noncommutative tori

open access: yes, 2000
We introduce the notion of a monodromy for gauge fields with vanishing curvature on the noncommutative torus. Similar to the ordinary gauge theory, traces of the monodromies define noncommutative Wilson lines.
Andrei G. Bytsko   +5 more
core   +1 more source

Stark effect in a wedge-shaped quantum box

open access: yes, 2006
The effect of an external applied electric field on the electronic ground state energy of a quantum box with a geometry defined by a wedge is studied by carrying out a variational calculation.
Aquino   +32 more
core   +1 more source

Space-time non-commutativity tends to create bound states

open access: yes, 2003
We study the spectrum of fluctuations about static solutions in 1+1 dimensional non-commutative scalar field models. In the case of soliton solutions non-commutativity leads to creation of new bound states.
Artyom Yurov   +13 more
core   +1 more source

Conservation laws of some lattice equations

open access: yes, 2012
We derive infinitely many conservation laws for some multi-dimensionally consistent lattice equations from their Lax pairs. These lattice equations are the Nijhoff-Quispel-Capel equation, lattice Boussinesq equation, lattice nonlinear Schr\"{o}dinger ...
Cheng, Jun-wei, Zhang, Da-jun
core   +1 more source

Notes on Inhomogeneous Quantum Walks

open access: yes, 2011
We study a class of discrete-time quantum walks with inhomogeneous coins defined in [Y. Shikano and H. Katsura, Phys. Rev. E {\bf 82}, 031122 (2010)].
Katsura, Hosho, Shikano, Yutaka
core   +1 more source

Dynamical symmetries and the Ermakov invariant

open access: yes, 2002
Ermakov systems possessing Noether point symmetry are identified among the Ermakov systems that derive from a Lagrangian formalism and, the Ermakov invariant is shown to result from an associated symmetry of dynamical character. The Ermakov invariant and
Arnold   +28 more
core   +2 more sources

Late Onset Systemic Lupus Erythematosus - Clinical and Autoantibody Profile and its Comparison with Young Onset Systemic Lupus Erythematosus. [PDF]

open access: yesMediterr J Rheumatol, 2023
Bindroo MA   +7 more
europepmc   +1 more source

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