Operator Formulation of Classical Mechanics and the Problem of Measurement
نویسنده
چکیده
The basic concepts of classical mechanics are given in the operator form. The dynamical equation for a hybrid system, consisting of quantum and classical subsystems, is introduced and analyzed in the case of an ideal nonselective measurement. The nondeterministic evolution is found to be the consequence of the superposition of two different deterministic evolutions. Pacs numbers: 03.65.Bz Typeset using REVTEX E-Mail: [email protected] E-Mail: [email protected]
منابع مشابه
Toward the Collapse of State
The basic concepts of classical mechanics are given in the operator form. Then, the hybrid systems approach, with the operator formulation of both quantum and classical sector, is applied to the case of an ideal nonselective measurement. It is found that the dynamical equation, consisting of the Schrödinger and Liouville dynamics, produces noncausal evolution when the initial state of measured ...
متن کاملua nt - p h / 98 06 06 0 v 2 2 3 Ju n 19 98 Operator Formulation of Classical Mechanics and the Problem of Measurement
The basic concepts of classical mechanics are given in the operator form. The dynamical equation for a hybrid system, consisting of quantum and classical subsystems, is introduced and analyzed in the case of an ideal nonselective measurement. The nondeterministic evolution is found to be the consequence of the superposition of two different deterministic evolutions. Pacs numbers: 03.65.Bz Types...
متن کامل$L_{p;r} $ spaces: Cauchy Singular Integral, Hardy Classes and Riemann-Hilbert Problem in this Framework
In the present work the space $L_{p;r} $ which is continuously embedded into $L_{p} $ is introduced. The corresponding Hardy spaces of analytic functions are defined as well. Some properties of the functions from these spaces are studied. The analogs of some results in the classical theory of Hardy spaces are proved for the new spaces. It is shown that the Cauchy singular integral operator is...
متن کاملStatistical Mechanics of Amplifying Apparatus
We consider a toy model of a laser with negative temperature amplification. By passing to a new kind of thermodynamic limit, involving the renormalisation of Planck’s constant to zero, we obtain a classically describable measurement apparatus. We introduce a new definition of macroscopic observable which implements Bohr’s insight that the observables of a measurement apparatus are classical in ...
متن کاملOn Plane Waves for Mode-I Crack Problem in Generalized Thermoelasticity
A general model of the equations of generalized thermoelasticity for an infinite space weakened by a finite linear opening Mode-I crack is solving. The material is homogeneous and has isotropic properties of elastic half space. The crack is subjected to prescribed temperature and stress distribution. The formulation is applied to generalized thermoelasticity theories, the Lord-Şhulman...
متن کامل