Continuous and discrete dynamical Schrödinger systems: explicit solutions

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Models of Continuous and Discrete Dynamical Systems

The authors have introduced in [KSW97a], KSW97b] two complementary algebras for systems with boundaries. The first is loops in the suspension of a monoidal category ⊗) , (C , denoted ⊗)) , ( Σ ( Ω C , an algebra of deterministic systems in which the natural feedback operation has delay. The second is Span(Graph), an algebra of specifications of systems (nondeterministic transition systems), w...

متن کامل

Continuous and discrete Schrödinger systems with parity-time-symmetric nonlinearities.

We investigate the dynamical behavior of continuous and discrete Schrödinger systems exhibiting parity-time (PT) invariant nonlinearities. We show that such equations behave in a fundamentally different fashion than their nonlinear Schrödinger counterparts. In particular, the PT-symmetric nonlinear Schrödinger equation can simultaneously support both bright and dark soliton solutions. In additi...

متن کامل

Stability of Dynamical Systems — Continuous , Discontinuous , and Discrete Systems

Ihave always believed that stability is the most important concept in systems and control theory. From the early days of my undergraduate studies, when I was first exposed to Lyapunov theory, to these days in which I devote a significant proportion of time to proving stability properties of dynamical systems and teaching stability to secondand third-year undergraduate students, I have never cea...

متن کامل

Integrability and Explicit Solutions in Some Bianchi Cosmological Dynamical Systems

The Einstein field equations for several cosmological models reduce to polynomial systems of ordinary differential equations. In this paper we shall concentrate our attention to the spatially homogeneous diagonal G2 cosmologies. By using Darboux’s theory in order to study ordinary differential equations in the complex projective plane CP we solve the Bianchi V models totally. Moreover, we carry...

متن کامل

Entropy operator for continuous dynamical systems of finite topological entropy

In this paper we introduce the concept of entropy operator for continuous systems of finite topological entropy. It is shown that it generates the Kolmogorov entropy as a special case. If $phi$ is invertible then the entropy operator is bounded with the topological entropy of $phi$ as its norm.

متن کامل

ذخیره 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: Journal of Physics A: Mathematical and Theoretical

سال: 2017

ISSN: 1751-8113,1751-8121

DOI: 10.1088/1751-8121/aa97ac