Non-Hermitian multi-particle systems from complex root spaces
نویسندگان
چکیده
منابع مشابه
Holistic Solution Methods for Complex Multi-particle Systems Holistic Solution Methods for Complex Multi-particle Systems
The emergence of self-organized behavior is characteristic of multi-particle systems in which individual motion is governed by the application of simple rules of interaction. The resulting dynamic order cannot be understood in terms of individual particles, but can be elucidated by formulating the system in terms of an abstract notion of dimensional coupling. We define this notion and consider ...
متن کاملTrigonometry of 'complex Hermitian' Type Homogeneous Symmetric Spaces
This paper contains a thorough study of the trigonometry of the homogeneous symmetric spaces in the Cayley-Klein-Dickson family of spaces of 'complex Hermitian' type and rank-one. The complex Hermitian elliptic CP are the generic members in this family; the remaining spaces are some contractions of the former. The method encapsulates trigonometry for this whole family of spaces into a single ba...
متن کاملUnitarity of Strings and Non-compact Hermitian Symmetric Spaces
If G is a simple non-compact Lie Group, withK its maximal compact subgroup, such that K contains a one-dimensional center C, then the coset space G/K is an Hermitian symmetric non-compact space. SL(2,R)/U(1) is the simplest example of such a space. It is only when G/K is an Hermitian symmetric space that there exists unitary discrete representations of G. We will here study string theories defi...
متن کاملDynamical Systems and Non-Hermitian Iterative Eigensolvers
Simple preconditioned iterations can provide an efficient alternative to more elaborate eigenvalue algorithms. We observe that these simple methods can be viewed as forward Euler discretizations of well-known autonomous differential equations that enjoy appealing geometric properties. This connection facilitates novel results describing convergence of a class of preconditioned eigensolvers to t...
متن کاملPreconditioners for Non-hermitian Toeplitz Systems 1
In this paper, we construct new !-circulant preconditioners for non-Hermitian Toeplitz systems, where we allow the generating function of the sequence of Toeplitz matrices to have zeros on the unit circle. We prove that the eigenvalues of the preconditioned normal equation are clustered at 1 and that for (N; N)-Toeplitz matrices with spectral condition number O(N) the corresponding PCG method r...
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: Journal of Physics A: Mathematical and Theoretical
سال: 2012
ISSN: 1751-8113,1751-8121
DOI: 10.1088/1751-8113/45/8/085203