Stability of the Markov (conservativity) property under perturbations-Reference-Cited by-同舟云学术

Stability of the Markov (conservativity) property under perturbations

Published:2020-06 Issue:02 Volume:23 Page:2050009
ISSN:0219-0257
Container-title:Infinite Dimensional Analysis, Quantum Probability and Related Topics
language:en
Short-container-title:Infin. Dimens. Anal. Quantum. Probab. Relat. Top.

Author:

Kumar Dharmendra¹,Sinha Kalyan B.²,Srivastava Sachi³

Affiliation:

1. Department of Mathematics, Satyawati College Evening (University of Delhi), Delhi 52, India

2. Jawaharlal Nehru Centre for Advanced Scientific Research, Bangalore, India

3. Department of Mathematics, University of Delhi, South Campus, New Delhi 21, India

Abstract

It is shown that if a Quantum Markov semigroup is “multiplicatively” perturbed under suitable conditions, the resulting minimal semigroup remains Markov (or conservative).

Funder

SERB-MATRICS scheme

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Mathematical Physics,Statistics and Probability,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219025720500095

Reference20 articles.

1. Sufficient Conditions for Conservativity of Minimal Quantum Dynamical Semigroups

2. One-Parameter Semigroups of Isometric Operators in Hilbert Space

3. A Homomorphism Theorem and a Trotter Product Formula for Quantum Stochastic Flows with Unbounded Coefficients

4. Quantum dynamical semigroups and the neutron diffusion equation

Cited by 4 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Quantum dynamical semigroups and stability;Journal of Mathematical Analysis and Applications;2022-12

2. The Generalized Fibonacci Oscillator as an Open Quantum System;Symmetry, Integrability and Geometry: Methods and Applications;2022-05-11

3. A Mean-Field Laser Quantum Master Equation;Springer Proceedings in Mathematics & Statistics;2022

4. Supercritical Poincaré–Andronov–Hopf Bifurcation in a Mean-Field Quantum Laser Equation;Annales Henri Poincaré;2020-11-09