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Books on the topic 'Quantum trajectories'

Author: Grafiati

Published: 4 June 2021

Last updated: 30 July 2024

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1

Barchielli, Alberto, and Matteo Gregoratti. Quantum Trajectories and Measurements in Continuous Time. Berlin, Heidelberg: Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-642-01298-3.

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Orszag, Miguel. Quantum Optics: Including Noise Reduction, Trapped Ions, Quantum Trajectories, and Decoherence. Berlin, Heidelberg: Springer Berlin Heidelberg, 2000.

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3

Orszag, Miguel. Quantum optics: Including noise reduction, trapped ions, quantum trajectories, and decoherence. Berlin: Springer, 2000.

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4

(Matteo), Gregoratti M., and SpringerLink (Online service), eds. Quantum trajectories and measurements in continuous time: The diffusive case. Berlin: Springer, 2009.

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5

Ceresole, A. Tullio Regge: An eclectic genius : from quantum gravity to computer play. Edited by Frè P. editor. Singapore: World Scientific Publishing Co. Pte. Ltd., 2020.

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6

A, Ranfagni, ed. Trajectories and rays: The path-summation in quantum mechanics and optics. Singapore: World Scientific, 1990.

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7

Chattaraj, Pratim Kumar. Quantum Trajectories. Taylor & Francis Group, 2016.

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8

Chattaraj, Pratim Kumar. Quantum Trajectories. Taylor & Francis Group, 2017.

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9

Chattaraj, Pratim Kumar. Quantum Trajectories. Taylor & Francis Group, 2011.

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10

Chattaraj, Pratim Kumar. Quantum Trajectories. Taylor & Francis Group, 2016.

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11

Quantum trajectories. Boca Raton: CRC Press, 2010.

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12

Quantum Dynamics with Trajectories. New York: Springer-Verlag, 2005. http://dx.doi.org/10.1007/0-387-28145-2.

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13

Multidimensional Quantum Mechanics with Trajectories. Collaborative Computational Project on Molecular Quantum Dynamics (CCP6), 2009.

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14

Quantum Dynamics with Trajectories: Introduction to Quantum Hydrodynamics. Springer New York, 2010.

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15

Orszag, Miguel. Quantum Optics: Including Noise Reduction, Trapped Ions, Quantum Trajectories, and Decoherence. Springer, 2018.

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16

Quantum Optics: Including Noise Reduction, Trapped Ions, Quantum Trajectories, and Decoherence. Springer International Publishing AG, 2024.

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17

Orszag, Miguel. Quantum Optics: Including Noise Reduction, Trapped Ions, Quantum Trajectories, and Decoherence. 2nd ed. Springer, 2007.

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18

Orszag, Miguel. Quantum Optics: Including Noise Reduction, Trapped Ions, Quantum Trajectories, and Decoherence. Springer, 2016.

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19

Orszag, Miguel. Quantum Optics: Including Noise Reduction, Trapped Ions, Quantum Trajectories, and Decoherence. Springer, 2010.

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20

Orszag, Miguel. Quantum Optics: Including Noise Reduction, Trapped Ions, Quantum Trajectories, and Decoherence. Springer London, Limited, 2016.

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21

Orszag, Miguel. Quantum Optics: Including Noise Reduction, Trapped Ions, Quantum Trajectories, and Decoherence. Springer London, Limited, 2007.

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22

Quantum optics: Including noise reduction, trapped ions, quantum trajectories, and decoherence. 2nd ed. Berlin: Springer, 2008.

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23

(Contributor), Corey J. Trahan, ed. Quantum Dynamics with Trajectories: Introduction to Quantum Hydrodynamics (Interdisciplinary Applied Mathematics). Springer, 2005.

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24

Wyatt, Robert E. Quantum Dynamics with Trajectories: Introduction to Quantum Hydrodynamics (Interdisciplinary Applied Mathematics Book 28). Springer, 2006.

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25

Barchielli, Alberto, and Matteo Gregoratti. Quantum Trajectories and Measurements in Continuous Time: The Diffusive Case. Springer, 2011.

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26

Ranfagni, A., and Paolo Moretti. Trajectories and Rays: The Path-Summation in Quantum Mechanics and Optics I. World Scientific Publishing Co Pte Ltd, 1990.

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27

Ranfagni, A. Trajectories and Rays: The Path - Summation in Quantum Mechanics and Optics I. World Scientific Publishing Co Pte Ltd, 1990.

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28

Nolte, David D. On the Quantum Footpath. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198805847.003.0008.

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This chapter shows how the concept of the trajectory of a quantum particle almost vanished in the battle between Werner Heisenberg’s matrix mechanics and Erwin Schrödinger’s wave mechanics. It took Niels Bohr and his complementarity principle of wave-particle duality to cede back some reality to quantum trajectories. However, Schrödinger and Einstein were not convinced and conceived of quantum entanglement to refute the growing acceptance of the Copenhagen Interpretation of quantum physics. Schrödinger’s cat was meant to be an absurdity, but ironically it has become a central paradigm of practical quantum computers. Quantum trajectories took on new meaning when Richard Feynman constructed quantum theory based on the principle of least action, inventing his famous Feynman Diagrams to help explain quantum electrodynamics.

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29

Applied Bohmian Mechanics. Taylor & Francis Group, 2019.

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30

Mompart, Jordi, and Xavier Oriols Pladevall. Applied Bohmian Mechanics: From Nanoscale Systems to Cosmology. Jenny Stanford Publishing, 2019.

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31

Mompart, Jordi, and Xavier Oriols Pladevall. Applied Bohmian Mechanics: From Nanoscale Systems to Cosmology. Jenny Stanford Publishing, 2019.

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32

Mompart, J. Applied Bohmian Mechanics. 2019.

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33

Mugnai, D., P. Moretti, and M. Cetica. Trajectories and Rays: The Path-Summation in Quantum Mechanics and Optics (World Scientific Lecture Notes in Physics). World Scientific Publishing Company, 1991.

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34

Henriksen, Niels Engholm, and Flemming Yssing Hansen. Bimolecular Reactions, Dynamics of Collisions. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198805014.003.0004.

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This chapter discusses the dynamics of bimolecular collisions within the framework of (quasi-)classical mechanics as well as quantum mechanics. The relation between the cross-section and the reaction probability, which can be calculated theoretically from a (quasi-)classical or quantum mechanical description of the collision, is described in terms of classical trajectories and wave packets, respectively. As an introduction to reactive scattering, classical two-body scattering is described and used to formulate simple models for chemical reactions, based on reasonable assumptions for the reaction probability. Three-body (and many-body) quasi-classical scattering is formulated and the numerical evaluation of the reaction probability is described. The relation between scattering angles and differential cross-sections in various frames is emphasized. The chapter concludes with a brief description of non-adiabatic dynamics, that is, situations beyond the Born–Oppenheimer approximation where more than one electronic state is in play. A discussion of the so-called Landau–Zener model is included.

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35

Nolte, David D. Geometry on my Mind. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198805847.003.0005.

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This chapter reviews the history of modern geometry with a focus on the topics that provided the foundation for the new visualization of physics. It begins with Carl Gauss and Bernhard Riemann, who redefined geometry and identified the importance of curvature for physics. Vector spaces, developed by Hermann Grassmann, Giuseppe Peano and David Hilbert, are examples of the kinds of abstract new spaces that are so important for modern physics, such as Hilbert space for quantum mechanics. Fractal geometry developed by Felix Hausdorff later provided the geometric language needed to solve problems in chaos theory. Motion cannot exist without space—trajectories are the tracks of points, mathematical or physical, through it.

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36

Nolte, David D. Galileo Unbound. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198805847.001.0001.

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Galileo Unbound: A Path Across Life, The Universe and Everything traces the journey that brought us from Galileo’s law of free fall to today’s geneticists measuring evolutionary drift, entangled quantum particles moving among many worlds, and our lives as trajectories traversing a health space with thousands of dimensions. Remarkably, common themes persist that predict the evolution of species as readily as the orbits of planets or the collapse of stars into black holes. This book tells the history of spaces of expanding dimension and increasing abstraction and how they continue today to give new insight into the physics of complex systems. Galileo published the first modern law of motion, the Law of Fall, that was ideal and simple, laying the foundation upon which Newton built the first theory of dynamics. Early in the twentieth century, geometry became the cause of motion rather than the result when Einstein envisioned the fabric of space-time warped by mass and energy, forcing light rays to bend past the Sun. Possibly more radical was Feynman’s dilemma of quantum particles taking all paths at once—setting the stage for the modern fields of quantum field theory and quantum computing. Yet as concepts of motion have evolved, one thing has remained constant, the need to track ever more complex changes and to capture their essence, to find patterns in the chaos as we try to predict and control our world.

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