Continuous Quantum Measurements and Path Integrals

M.B Mensky (Lebedev Physical Institute, Moscow, Russia)

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English

CRC Press
05 September 2019

Applied mathematics; Quantum physics (quantum mechanics & quantum field theory)

Advances in technology are taking the accuracy of macroscopic as well as microscopic measurements close to the quantum limit, for example, in the attempts to detect gravitational waves. Interest in continuous quantum measurements has therefore grown considerably in recent years. Continuous Quantum Measurements and Path Integrals examines these measurements using Feynman path integrals. The path integral theory is developed to provide formulae for concrete physical effects. The main conclusion drawn from the theory is that an uncertainty principle exists for processes, in addition to the familiar one for states. This implies that a continuous measurement has an optimal accuracy-a balance between inefficient error and large quantum fluctuations (quantum noise). A well-known expert in the field, the author concentrates on the physical and conceptual side of the subject rather than the mathematical.

By: M.B Mensky (Lebedev Physical Institute Moscow Russia)
Imprint: CRC Press
Country of Publication: United Kingdom
Dimensions: Height: 234mm, Width: 156mm,
Weight: 294g
ISBN: 9780367402501
ISBN 10: 0367402505
Pages: 188
Publication Date: 05 September 2019
Audience: Professional and scholarly , Undergraduate
Format: Paperback
Publisher's Status: Active

Introduction to Continuous Quantum Measurements. Instantaneous and Sequential Measurements. Technique of Path Integrals. Continuous Measurement and Evolution of the Measured System. Continuous Measurements of Oscillators. Continuous Quantum Nondemolition Measurements. Measurement of an Electromagnetic Field. Time in Quantum Cosmology. The Action Uncertainty Principle. Group-Theoretical Structure of Quantum Continuous Measurements. Paths and Measurements: Further Development. References.

Mensky, M.B