Periodic Integrable Systems with Delta-Potentials
نویسندگان
چکیده
منابع مشابه
Integrable Hamiltonian Systems with Vector Potentials
We investigate integrable 2-dimensional Hamiltonian systems with scalar and vector potentials, admitting second invariants which are linear or quadratic in the momenta. In the case of a linear second invariant, we provide some examples of weakly-integrable systems. In the case of a quadratic second invariant, we recover the classical strongly-integrable systems in Cartesian and polar coordinate...
متن کاملSupersymmetry Breaking with Periodic Potentials
We discuss supersymmetry breaking in some supersymmetric quantum mechanical models with periodic potentials. The sensitivity to the parameters appearing in the superpotential is more acute than in conventional nonperiodic models. We present some simple elliptic models to illustrate these points. Supersymmetry (SUSY) breaking is an outstanding problem that is directly relevant for the applicatio...
متن کاملIntegrable systems with impurity
After reviewing some basic properties of RT algebras, which appear to be the natural framework to deal with integrable systems in presence of an impurity, we show how any integrable system (including these possessing translation invariance) can be promoted to an integrable system with an impurity which can reflect and transmit particles. The technics allows bulk translation invariant S-matrices...
متن کاملExistence of Multiple Periodic Solutions for Second-order Discrete Hamiltonian Systems with Partially Periodic Potentials
In this article, we use critical point theory to obtain multiple periodic solutions for second-order discrete Hamiltonian systems, when the nonlinearity is partially periodic and its gradient is linearly and sublinearly bounded.
متن کاملThe Last Integrable Case of Kozlov-treshchev Birkhoff Integrable Potentials
The integrability of this system was conjectured in [16] and in the book of V.V. Kozlov [17]. This system appears first in the classification of Birkhoff integrable systems by Kozlov and Treshchev [16]. The classification involves systems with exponential interraction with sufficient number of integrals, polynomial in the momenta. The classification gives necessary conditions for a system with ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 2006
ISSN: 0010-3616,1432-0916
DOI: 10.1007/s00220-006-1519-6