Quantum-Classical Analogies

Although quantum and classical physics are founded on very different principles, similarities between quantum and classical phenomena are not uncommon. This fact was considered by physicists as a mere curiosity until, quite recently, it became clear that such analogies between quantum and classical physics can be exploited in theoretical as well as experimental work in emerging key research areas. The analogies described in this book include the mathematical similarity between the Schrödinger equation and the Helmholtz equation (and its application in nanodevice design), the similarities between quantum multi-level systems and their optical counterparts, and the optical implementations of quantum computing algorithms. Also described are the mathematical analogies between classical and quantum phase space physics. These analogies help to deepen our understanding of stll hotly debated quantum mechanical principles

Wide-ranging implications, both for our fundamental understanding of quantum mechanics and for new applications in the area of device physics and quantum computing Includes supplementary material: sn.pub/extras

Autorentext

Mircea Dragoman is a senior researcher I at the National Research Institute in Microtechnology since 1996. In the period 1992-1994 he was the recipient of the Humboldt Fellowship award and he has followed postdoctoral studies at Duisburg University, Germany. He was invited professor at: CNR-Istituto di Electtronica dello Stato Solido-Roma (1993-1996), Univ. Saint-Etienne, France (1997), Univ. Mannheim (1998-1999, 2001-2002), Univ. Frankfurt (2003), and Univ. Darmstadt (2004). He was invited professor at CNRS LAAS in the period 2005-2006 and 2008-2010. He has published 205 scientific papers (114 in international journals and 91 communications at various national and international conferences). The papers are dedicated to the following areas: nanoelectronics, microwaves, MEMS, and optoelectronics. He is co-author of 5 books in prestigious international publishing houses. Daniela Dragoman is a Professor at the Physics Faculty of the University of Bucharest. In the period 1998-1999 and 2001-2002 she was the recipient of the Humboldt Fellowship award and followed postdoctoral studies at the Mannheim University, Germany. She was invited professor at Univ. Saint-Etienne, France (1997 and 2000), and at CNRS LAAS, Toulouse in 2008, 2009 and 2010. She is co-author of 5 monographs at prestigious international publishing houses and author or co-author of 152 scientific papers in ISI-ranked international journals and 41 communications at national and international conferences. Her research areas of interest include: nanostructures and nanodevices, quantum-classical correspondence and the foundations of quantum mechanics.

Klappentext

This is the first book on the subject of quantum-classical analogies. Although quantum and classical physics are founded on very different principles, similarities between quantum and classical phenomena are not uncommon. This fact was considered by physicists as a mere curiosity until, quite recently, it became clear that such analogies between quantum and classical physics can be exploited in theoretical as well as experimental work in emerging research areas such as quantum computing, nano-devices or unconventional light forms (localized light, frozen light). The analogies described in this book include the well-known mathematical similarity between the Schrödinger equation and the Helmholtz equation (and its application in nanodevice design), the similarities between quantum multi-level systems and their optical counterparts, the optical analogue of the uncertainty relation, and the optical implementations of quantum computing algorithms. Acoustic analogies to quantum phenomena are also mentioned. Last but not least, the book describes the mathematical analogies between classical and quantum phase space physics.

In sum, these analogies can help to deepen our understanding of quantum mechanical principles, many of which are still hotly debated a century after the foundations of quantum mechanics were laid.

Inhalt
1 Introduction.- 2 Analogies Between Ballistic Electrons and Electromagnetic Waves.- 3 Electron/Electromagnetic Multiple Scattering and Localization.- 4 Acoustic Analogies for Quantum Mechanics.- 5 Optical Analogs for Multilevel Quantum Systems.- 6 Particle Optics.- 7 Quantum/Classical Nonlinear Phenomena.- 8 Quantum/Classical Phase Space Analogies.- 9 Analogies Between Quantum and Classical Computing.- 10 Other Quantum/Classical Analogies.- References.