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Bohmian Mechanics, Open Quantum Systems and Continuous Measurements

Antonio B. Nassar, Salvador Miret-Artés (Autoren)

Buch | Hardcover

XVII, 241 Seiten

2017 | 1st ed. 2017
Springer International Publishing (Verlag)
978-3-319-53651-4 (ISBN)

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This book shows how Bohmian mechanics overcomes the need for a measurement postulate involving wave function collapse. The measuring process plays a very important role in quantum mechanics. It has been widely analyzed within the Copenhagen approach through the Born and von Neumann postulates, with later extension due to Lüders. In contrast, much less effort has been invested in the measurement theory within the Bohmian mechanics framework. The continuous measurement (sharp and fuzzy, or strong and weak) problem is considered here in this framework. The authors begin by generalizing the so-called Mensky approach, which is based on restricted path integral through quantum corridors. The measuring system is then considered to be an open quantum system following a stochastic Schrödinger equation. Quantum stochastic trajectories (in the Bohmian sense) and their role in basic quantum processes are discussed in detail. The decoherence process is thereby described in terms of classicaltrajectories issuing from the violation of the noncrossing rule of quantum trajectories.

Antonio Nassar has a PhD and Masters degree in Physics (UCLA) and is the author of more than 60 articles and two books. His main research interests concern fundamental problems such as quantum and classical trajectories, classical and quantum chaos, quantum dissipative systems and decoherence within the framework of Bohmian mechanics. He has received the following awards/recognitions: UCLA Physics Department Distinguished Teaching Assistant Award; Harvard-Westlake School Justin Rascoff Teaching Award for teaching excellence; MIT nominations and recognition for excellence in teaching; INTEL Science Talent Search – Teacher of Merit; and the UCLA Extension Distinguished Instructor Award.Salvador Miret-Artés is full professor in Physics and director of the Instituto de Física Fundamental and Centro de Física Miguel A. Catalán in Madrid (Spain). He is author of more than 200 articles and 5 books. His main topics of interest are: atom surface scattering, surface diffusion, Bohmian mechanics, classical and quantum stochastic processes and the measurement problem.

Historical and Introductory Account of Bohmian Mechanics.- Some Selected Applications of Bohmian Mechanics.- Bohmian Stochastic Trajectories.- Continuous Quantum Measurements in the Bohmian Framework.- Epilogue.

"The authors concentrate on the measurement theory within the Bohmian quantum mechanics framework. ... the book can be recommended for reader who need an introduction into the Bohmian quantum mechanics and see a number of its applications." (Willi-Hans Steeb, zbMATH 1371.81008, 2017)

Erscheinungsdatum	30.03.2017
Zusatzinfo	XVII, 241 p. 19 illus., 12 illus. in color.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Naturwissenschaften ► Physik / Astronomie ► Quantenphysik
Themenwelt	Naturwissenschaften ► Physik / Astronomie ► Theoretische Physik
Schlagworte	Bohmian Quantum Mechanics • Complex Systems • Dynamics and statics • History and Philosophical Foundations of Physics • History of Science • Measurement in Bohmian Mechanics • Measurement Science and Instrumentation • Mensky Approach to Quantum Measurement • Physics • Physics and Astronomy • Quantum Corridors • Quantum Measurement and Decoherence • Quantum Physics • Quantum physics (quantum mechanics and quantum fie • Quantum Stochastic Trajectories • Scientific standards, measurement etc • Statistical Physics • Statistical Physics and Dynamical Systems • Violation of Noncrossing Rule • Weak Measurement in Quantum Mechanics
ISBN-10	3-319-53651-6 / 3319536516
ISBN-13	978-3-319-53651-4 / 9783319536514
Zustand	Neuware