Canonical commutation relations and interacting Fock spaces

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

Exponential Representations of the Canonical Commutation Relations

A class of representations of the canonical commutation relations is investigated. These representations, which are called exponential representations, are given by explicit formulas. Exponential representations are thus comparable to tensor product representations in the sense that they provide the possibility of computing useful criteria concerning various properties. In particular, they are ...

متن کامل

On the Fock representation of the q-commutation relations

We consider the C*-algebraRq generated by the representation of the q-commutation relations on the twisted Fock space. We construct a canonical unitary U (= U(q)) from the twisted Fock space to the usual Fock space, such that URqU∗ contains the extended Cuntz algebra R0, for all q ∈ (−1, 1). We prove the equality URqU∗ = R0 for q satisfying: q < 1− 2|q|+ 2|q| − 2|q| + · · ·+ 2(−1)k|q|k2 + · · ·...

متن کامل

C-Multipliers, crossed product algebras, and canonical commutation relations

The notion of a multiplier of a group X is generalized to that of a C-multiplier by allowing it to have values in an arbitrary C-algebra A. On the other hand, the notion of the action of X in A is generalized to that of a projective action of X as linear transformations of the space of continuous functions with compact support in X and with values in A. It is shown that there exists a one-to-on...

متن کامل

Exact Discrete Analogs of Canonical Commutation and Uncertainty Relations

An exact discretization of the canonical commutation and corresponding uncertainty relations are suggested. We prove that the canonical commutation relations of discrete quantum mechanics, which is based on standard finite difference, holds for constant wave functions only. In this paper, we use the recently proposed exact discretization of derivatives, which is based on differences that are re...

متن کامل

Canonical Bases for Fock Spaces and Tensor Products

We relate the canonical basis of the Fock space representation of the quantum affine algebra Uq(ĝln), as defined by Leclerc and Thibon [LT], to the canonical basis of its restriction to Uq(sln), regarded as a based module in the sense of Lusztig. More generally we consider the restriction to any Levi subalgebra. We deduce results on decomposition numbers and branching coefficients of Schur alge...

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: Journées Équations aux dérivées partielles

سال: 2004

ISSN: 0752-0360

DOI: 10.5802/jedp.2