Bohmian Mechanics, Open Quantum Systems and Continuous Measurements [electronic resource] /
Nassar, Antonio B.author.
Miret-Artés, Salvador.author.
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 classical trajectories issuing from the violation of the noncrossing rule of quantum trajectories.
Includes bibliographical references and index.
Historical and Introductory Account of Bohmian Mechanics -- Some Selected Applications of Bohmian Mechanics -- Bohmian Stochastic Trajectories -- Continuous Quantum Measurements in the Bohmian Framework -- Epilogue.
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 classical trajectories issuing from the violation of the noncrossing rule of quantum trajectories.
Quantum physics.
Physics.
Statistical physics.
Dynamical systems.
Physical measurements.
Measurement   .
Quantum Physics.
History and Philosophical Foundations of Physics.
Complex Systems.
Measurement Science and Instrumentation.
Statistical Physics and Dynamical Systems.