q-Dominant and q-recessive matrix solutions for linear quantum systems

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

Solutions of Underdetermined Linear Systems via q - minimization for 0 < q ≤ 1

We present a condition on the matrix of an underdetermined linear system which guarantees that the solution of the system with minimal q-quasinorm is also the sparsest one. This generalizes, and slightly improves, a similar result for the 1norm. We then introduce a simple numerical scheme to compute solutions with minimal q-quasinorm, and we study its convergence. Finally, we display the result...

متن کامل

Sparsest Solutions of Underdetermined Linear Systems via ` q - minimization for 0 < q ≤ 1

We present a condition on the matrix of an underdetermined linear system which guarantees that the solution of the system with minimal `q-quasinorm is also the sparsest one. This generalizes, and sightly improves, a similar result for the `1-norm. We then introduce a simple numerical scheme to compute solutions with minimal `q-quasinorm, and we study its convergence. Finally, we display the res...

متن کامل

Quantum Ar Q-System Solutions as q-Multinomial Series

We derive explicit expressions for the generating series of the fundamental solutions of the Ar quantum Q-system of Di Francesco and Kedem [Non-commutative integrability, paths and quasi-determinants, Adv. in Math. 228(1) (2011) 97–152], expressed in terms of any admissible initial data. These involve products of quantum multinomial coefficients, coded by the initial data structure.

متن کامل

Isomorphisms between Quantum Group Covariant q - Oscillator Systems Defined for q and q − 1

It is shown that there exists an isomorphism between q-oscillator systems covariant under SUq(n) and SUq−1(n). By the isomorphism, the defining relations of SUq−1(n) covariant q-oscillator system are transmuted into those of SUq(n). It is also shown that the similar isomorphism exists for the system of q-oscillators covariant under the quantum supergroup SUq(n/m). Furthermore the cases of q-def...

متن کامل

Dominant and Recessive Solutions of Self-Adjoint Matrix Systems on Time Scales

In this study, linear second-order self-adjoint delta-nabla matrix systems on time scales are considered with the motivation of extending the analysis of dominant and recessive solutions from the differential and discrete cases to any arbitrary dynamic equations on time scales. These results emphasize the case when the system is non-oscillatory.

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: Electronic Journal of Qualitative Theory of Differential Equations

سال: 2007

ISSN: 1417-3875

DOI: 10.14232/ejqtde.2007.1.11