Relational time in generally covariant quantum systems: Four models
نویسندگان
چکیده
منابع مشابه
Quantization of Generally Covariant Systems with Extrinsic Time
A generally covariant system can be deparametrized by means of an “extrinsic” time, provided that the metric has a conformal “temporal” Killing vector and the potential exhibits a suitable behavior with respect to it. The quantization of the system is performed by giving the well ordered constraint operators which satisfy the algebra. The searching of these operators is enlightened by the metho...
متن کاملGauge Invariance for Generally Covariant Systems
Previous analyses on the gauge invariance of the action for a generally covariant system are generalized. It is shown that if the action principle is properly improved, there is as much gauge freedom at the endpoints for an arbitrary gauge system as there is for a system with “internal” gauge symmetries. The key point is to correctly identify the boundary conditions for the allowed histories an...
متن کاملOperator ordering for generally covariant systems
An essential aspect of a generally covariant system is the invariance of its action under reparametrizations; this means that the label that parametrizes the trajectories of the system is not the time but a physically irrelevant parameter. As a consequence, the system is constrained to remain on the hypersurface of the phase space where the Hamiltonian is null. In fact, since the “evolution” ge...
متن کاملRelational evolution of the degrees of freedom of generally covariant quantum theories
We study the classical and quantum dynamics of generally covariant theories with vanishing Hamiltonian and with a finite number of degrees of freedom. In particular, the geometric meaning of the full solution of the relational evolution of the degrees of freedom is displayed, which means the determination of the total number of evolving constants of motion required. Also a method to find evolvi...
متن کاملQuantum Group Covariant Systems
The meaning of quantum group transformation properties is discussed in some detail by comparing the (co)actions of the quantum group with those of the corresponding Lie group, both of which have the same algebraic (matrix) form of the transformation. Various algebras are considered which are covariant with respect to the quantum (super) groups SUq(2), SUq(1, 1), SUq(1|1), SUq(n), SUq(m|n), OSpq...
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: Physical Review D
سال: 2001
ISSN: 0556-2821,1089-4918
DOI: 10.1103/physrevd.63.105014