Boundary conditions, semigroups, quantum jumps, and the quantum arrow of time

30th International Colloquium on Group Theoretical Methods in Physics

Bohm, Arno^1

Department of Physics, University of Texas at Austin, Austin, TX

78712, United States^1

关键词: Acoustic Scattering;    Distribution theory;    Dynamical equation;    Experimental set up;    Mathematical method;    Paley-Wiener theorem;    Quantum physics;    Quantum system;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/597/1/012018/pdf
DOI  :  10.1088/1742-6596/597/1/012018

来源: IOP

【 摘 要 】

Experiments on quantum systems are usually divided into preparation of states and the registration of observables. Using the traditional mathematical methods (the Hilbert space and Schwartz space of distribution theory), it is not possible to distinguish mathematically between observables and states. The Hilbert space as well as Schwartz space boundary conditions for the dynamical equations lead by mathematic theorems (Stone-von Neumann) to unitary group with - ∞ 0for a time asymmetric quantum theory, which have been observed as an ensemble of finite times t(i)0, the onset times of dark periods in the quantum jump experiments on a single ion.