Random matrix ensembles with random interactions: Results for EGUE(2)-SU(4)

نویسندگان
چکیده

برای دانلود رایگان 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

Random matrix ensembles with random interactions: Re- sults for EGUE(2)-SU(4)

Abstract. We introduce in this paper embedded Gaussian unitary ensemble of random matrices, for m fermions in Ω number of single particle orbits, generated by random two-body interactions that are SU(4) scalar, called EGUE(2)-SU(4). Here the SU(4) algebra corresponds to Wigner’s supermultiplet SU(4) symmetry in nuclei. Formulation based on Wigner-Racah algebra of the embedding algebra U(4Ω) ⊃ U...

متن کامل

q-RANDOM MATRIX ENSEMBLES

With a few notable exceptions, the interaction between the community of mathematicians who work in special functions, in particular, those that are in the area of q-series and basic Hypergeometric functions and the physics community has so far been minimal. In this review article, we will describe some developments in one area in physics, namely the Theory of Random Matrix Ensembles, where a q-...

متن کامل

Universality of random-matrix results for non-Gaussian ensembles.

We study random-matrix ensembles with a non-Gaussian probability distribution P (H) ∼ exp(−Ntr V (H)) where N is the dimension of the matrix H and V (H) is independent of N . Using Efetov’s supersymmetry formalism, we show that in the limit N → ∞ both energy level correlation functions and correlation functions of S-matrix elements are independent of P (H) and hence universal on the scale of th...

متن کامل

New Multicritical Random Matrix Ensembles

In this paper we construct a class of random matrix ensembles labelled by a real parameter α ∈ (0, 1), whose eigenvalue density near zero behaves like |x|α. The eigenvalue spacing near zero scales like 1/N1/(1+α) and thus these ensembles are representatives of a continous series of new universality classes. We study these ensembles both in the bulk and on the scale of eigenvalue spacing. In the...

متن کامل

Random–Matrix Ensembles for Semi–Separable Systems

– Many models for chaotic systems consist of joining two integrable systems with incompatible constants of motion. The quantum counterparts of such models have a propagator which factorizes into two integrable parts. Each part can be diagonalized. The two eigenvector bases are related by an orthogonal (or unitary) transformation. We construct a random matrix ensemble that mimics this situation ...

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: Pramana

سال: 2009

ISSN: 0304-4289,0973-7111

DOI: 10.1007/s12043-009-0104-x