The resolvent algebra: A new approach to canonical quantum systems 2008, Journal of Functional Analysis more Detlev Buchholz, Hendrik Grundling The resolvent algebra: A new approach to canonical quantum systems Journal of Functional Analysis, Volume 254, Issue 11, 1 June 2008, Pages 2725–2779 Ori...
An operator algebra is an algebra of such operators, usually with additional conditions, such as being closed in a certain topology. Here we introduce some of the basic concepts in the theory of operator algebras. The material here is standard, and by now there is a huge body of textbooks ...
This chapter presents the basic mathematical framework for quantum mechanics of spin systems. Much of the material can be found in texts in representation theory (some found within the list of references at the beginning of Chap. 2) and quantum theory of angular momentum (e.g. [13, 14, ...
Hence, we can make definitions for continuous operators similar to their counterparts in linear algebra, including the following key classes of bilinear operators: • Self-adjoint: We call a bilinear form self-adjoint if ∀u, v : a(u, v) = a(v, u). This generalizes the definition ...
quantum aspects of seiberg-witten map in noncommutative chern-simons theory Chern-Simons-Schr_dinger方程L2约束最低能量解 Linear Algebra Theory And Applications Abstract Algebra theory and application Abstract Algebra Theory and Applications A computational introduction to number theory and algebra-[2]-[Vic...
Mathematics - Operator AlgebrasIn this paper, we provide two types of boundary path groupoids from a generalized Boolean dynamical system $(\\mathcal{B}... GG De Castro,EJ Kang 被引量: 0发表: 2021年 Complete Descriptions of Intermediate Operator Algebras by Intermediate Extensions of Dynamical...
Introducing a quantum hyperplane [4], one can generalize the whole family of the operator identities (5)-(6) replacing continuous derivatives by finite-difference operators and then by abstract operators, obeying a certain q-deformed Heisenberg algebra. One of us (A.T.) wants to express ...
In contrast to some of the above-mentioned programs, the objectives of our work here are modest. As a first step toward a pre-quantum theory, we introduce a formalism of Operator Mechanics (OM), based on a Lie algebra of canonically conjugate operators. This algebra is equipped with a nonc...
≠ L̂2L̂1The algebra of operators differs in this regard from the ordinary algebra of numbers. The possibility of changing the order of the factors in the product of two operators is closely connected with the possibility of the simultaneous measurement of the physical quantities to which ...
从线形代数的图解方法出发,对自旋接网圈的数学基础做出回顾,并重新推证了圈算符和双元恒等式,计算了关于自旋接网圈的一些计算公式。 Starting with diagrammatic methods in linear algebra,this paper reviews the mathematic...