scholarly journals Bound states in straight quantum waveguides with combined boundary conditions

2002 ◽  
Vol 43 (8) ◽  
pp. 3892-3915 ◽  
Author(s):  
J. Dittrich ◽  
J. Křı́ž
Keyword(s):  
Boundary Conditions ◽  
Bound States ◽  
Quantum Waveguides

scholarly journals Multiparticle Fields on the Subset of Simultaneity

2019 ◽  
Vol 64 (8) ◽  
pp. 732 ◽  
Author(s):  
D. A. Ptashynskiy ◽  
T. M. Zelentsova ◽  
N. O. Chudak ◽  
K. K. Merkotan ◽  
O. S. Potiienko ◽  
...  
Keyword(s):  
Boundary Conditions ◽  
Bound States ◽  
Internal Symmetry ◽  
Dynamic Equations ◽  
Gauge Fields ◽  
Asymptotic Freedom ◽  
Quark Confinement ◽  
Single Model ◽  
Lagrange Method ◽  
Local Gauge

We propose a model describing the scattering of hadrons as bound states of their constituent quarks. We build the dynamic equations for the multiparticle fields on the subset of simultaneity, using the Lagrange method, similarly to the case of “usual” single-particle fields. We then consider the gauge fields restoring the local internal symmetry on the subset of simultaneity. Since the multiparticle fields, which describe mesons as bound states of a quark and an antiquark, are two-index tensors relative to the local gauge group, it is possible to consider a model with two different gauge fields, each one associated with its own index. Such fields would be transformed by the same laws during a local gauge transformation and satisfy the same dynamic equations, but with different boundary conditions. The dynamic equations for the multiparticle gauge fields describe such phenomena as the confinement and the asymptotic freedom of colored objects under certain boundary conditions and the spontaneous symmetry breaking under another ones. With these dynamic equations, we are able to describe the quark confinement in hadrons within a single model and their interaction during the hadron scattering through the exchange of the bound states of gluons – the glueballs.

scholarly journals Convectons, anticonvectons and multiconvectons in binary fluid convection

2010 ◽  
Vol 667 ◽  
pp. 586-606 ◽  
Author(s):  
ISABEL MERCADER ◽  
ORIOL BATISTE ◽  
ARANTXA ALONSO ◽  
EDGAR KNOBLOCH
Keyword(s):  
Boundary Conditions ◽  
Bound States ◽  
Neumann Boundary ◽  
Localized States ◽  
Numerical Continuation ◽  
Binary Fluid ◽  
Flux Boundary Conditions ◽  
New States ◽  
Fluid Convection ◽  
Binary Fluid Mixtures

Binary fluid mixtures with a negative separation ratio heated from below exhibit steady spatially localized states called convectons for supercritical Rayleigh numbers. Numerical continuation is used to compute such states in the presence of both Neumann boundary conditions and no-slip no-flux boundary conditions in the horizontal. In addition to the previously identified convectons, new states referred to as anticonvectons with a void in the centre of the domain, and wall-attached convectons attached to one or other wall are identified. Bound states of convectons and anticonvectons called multiconvecton states are also computed. All these states are located in the so-called snaking or pinning region in the Rayleigh number and may be stable. The results are compared with existing results with periodic boundary conditions.

scholarly journals Bound states and scattering in quantum waveguides coupled laterally through a boundary window

1996 ◽  
Vol 37 (10) ◽  
pp. 4867-4887 ◽  
Author(s):  
P. Exner ◽  
P. Šeba ◽  
M. Tater ◽  
D. Vaněk
Keyword(s):  
Bound States ◽  
Quantum Waveguides

scholarly journals Bound states on the lattice with partially twisted boundary conditions

2015 ◽  
Vol 2015 (1) ◽  
Author(s):  
D. Agadjanov ◽  
F.-K. Guo ◽  
G. Ríos ◽  
A. Rusetsky
Keyword(s):  
Boundary Conditions ◽  
Bound States ◽  
Twisted Boundary Conditions
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