Phase space observables and isotypic spaces

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود 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

Phase Space Observables and Isotypic Spaces

We give necessary and sufficient conditions for the set of Neumark projections of a countable set of phase space observable to constitute a resolution of the identity, and we give a criteria for a phase space observable to be informationally complete. The results will be applied to the phase space observables arising from an irreducible representation of the Heisenberg group.

متن کامل

Reduced Phase Space Quantization and Dirac Observables

In her recent work, Dittrich generalized Rovelli’s idea of partial observables to construct Dirac observables for constrained systems to the general case of an arbitrary first class constraint algebra with structure functions rather than structure constants. Here we use this framework and propose how to implement explicitly a reduced phase space quantization of a given system, at least in princ...

متن کامل

Continuous phase-space methods on discrete phase spaces

We show that discrete quasiprobability distributions defined via the discrete Heisenberg-Weyl group can be obtained as discretizations of the continuous SU(N) quasiprobability distributions. This is done by identifying the phase-point operators with the continuous quantisation kernels evaluated at special points of the phase space. As an application we discuss the positive-P function and show t...

متن کامل

Spaces of Observables in Nonlinear Control

Engineering design and optimization techniques for control typically rely upon the theory of irreducible finite-dimensional representations of linear shift-invariant integral operators. A representation of T : [£oc.ioc(0, oo)] —• [Co(0, oo)] is specified by a triple of linear maps A : R -> R, B : R -> R, and C : R -> R so that, for each "input" UJ, J(uj)(t) = CÇt(t), where the state £ is the so...

متن کامل

Operators and Observables in Isotopic Spin Space

The usefulness of the conventional isotopic spin formalism is somewhat marred by the fact that it contains superfluous formal elements which have no physical counterpart. It is demonstrated that application of the "superselection principle" for total electric charge, recently suggested by Wick, Wightman, and Wigner, is sufhcient to eliminate these superfluous elements and thus reduce the conten...

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: Journal of Mathematical Physics

سال: 2000

ISSN: 0022-2488,1089-7658

DOI: 10.1063/1.1286986