Pati, A. K. ; Lawande, S. V. (1998) Geometry of the Hilbert space and the quantum Zeno effect Physical Review A, 58 . pp. 831-835. ISSN 1050-2947
Full text not available from this repository.
Official URL: https://journals.aps.org/pra/abstract/10.1103/Phys...
Related URL: http://dx.doi.org/10.1103/PhysRevA.58.831
Abstract
We show that the quadratic short time behavior of transition probability is a natural consequence of the inner product of the Hilbert space of the quantum system. We provide a relation between the survival probability and the underlying geometric structure such as the Fubini-Study metric defined on the projective Hilbert space of the quantum system. This predicts the quantum Zeno effect even for systems described by nonlinear and nonunitary evolution equations, within the collapse mechanism of the wave function during measurement process.
Item Type: | Article |
---|---|
Source: | Copyright of this article belongs to American Physical Society. |
ID Code: | 104588 |
Deposited On: | 09 Mar 2018 11:37 |
Last Modified: | 09 Mar 2018 11:37 |
Repository Staff Only: item control page