Circular Invariance of the Weyl Form of the Canonical Commutation Relation

نویسنده

  • JAN STOCHEL
چکیده

The Schrr odinger-Weyl representation of the canonical commutation relation is cir-culary invariant in a sense. Here, as a continuation of 5 , we show the converse.

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

On Periodic Matrix-Valued Weyl-Titchmarsh Functions

We consider a certain class of Herglotz-Nevanlinna matrix-valued functions which can be realized as the Weyl-Titchmarsh matrix-valued function of some symmetric operator and its self-adjoint extension. New properties of Weyl -Titchmarsh matrixvalued functions as well as a new version of the functional model in such realizations are presented. In the case of periodic Herglotz-Nevanlinna matrix-v...

متن کامل

The classical limit of a state on the Weyl algebra

This paper considers states on the Weyl algebra of the canonical commutation relations over the phase space R. We show that a state is regular iff its classical limit is a countably additive Borel probability measure on R. It follows that one can “reduce” the state space of the Weyl algebra by altering the collection of quantum mechanical observables so that all states are ones whose classical ...

متن کامل

Twisted Covariance vs Weyl Quantisation

In this letter we wish to clarify in which sense the tensor nature of the commutation relations [x,x ] = iθ underlying Minkowski spacetime quantisation cannot be suppressed even in the twisted approach to Lorentz covariance. We then address the vexata quaestio: “why θ?”

متن کامل

Quantum Groups and Von Neumann Theorem

We discuss the q deformation of Weyl-Heisenberg algebra in connection with the von Neumann theorem in Quantum Mechanics. We show that the q-deformation parameter labels the Weyl systems in Quantum Mechanics and the unitarily inequivalent representations of the canonical commutation relations in Quantum Field Theory. PACS 02.20.+b; 03.65.Fd; 11.30.Qc;

متن کامل

Twisted Covariance and Weyl Quantisation

In this letter we wish to clarify in which sense the tensor nature of the commutation relations [xμ,xν ] = iθμν underlying Minkowski spacetime quantisation cannot be suppressed even in the twisted approach to Lorentz covariance. We then address the vexata quaestio: “why θ?”

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

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2007