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Quantum Theory From A Nonlinear Perspective : Riccati Equations In Fundamental Physics hardcover english - 27 Feb 2018

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متوفر قريبا
نظرة عامة
المواصفات
الناشرSpringer International Publishing AG
رقم الكتاب المعياري الدولي 139783319655925
رقم الكتاب المعياري الدولي 103319655922
اللغةالإنجليزية
العنوان الفرعي للكتابRiccati Equations In Fundamental Physics
وصف الكتابThis book provides a unique survey displaying the power of Riccati equations to describe reversible and irreversible processes in physics and, in particular, quantum physics. Quantum mechanics is supposedly linear, invariant under time-reversal, conserving energy and, in contrast to classical theories, essentially based on the use of complex quantities. However, on a macroscopic level, processes apparently obey nonlinear irreversible evolution equations and dissipate energy. The Riccati equation, a nonlinear equation that can be linearized, has the potential to link these two worlds when applied to complex quantities. The nonlinearity can provide information about the phase-amplitude correlations of the complex quantities that cannot be obtained from the linearized form. As revealed in this wide ranging treatment, Riccati equations can also be found in many diverse fields of physics from Bose-Einstein-condensates to cosmology. The book will appeal to graduate students and theoretical physicists interested in a consistent mathematical description of physical laws.
عن المؤلفProf. Dr. Dieter Schuch Institut fuer Theoretische Physik Goethe-Universitaet Frankfurt am Main Max-von-Laue-Str. 1 D-60438 Frankfurt am Main, Germany Dieter Schuch received his Dr. Phil. nat. (1982) for Theoretical and Physical Chemistry at the J.W. Goethe-Universitat Frankfurt am Main where he was also awarded his Habilitation for Theoretical Physics in 1992 and has been an Apl.-Professor since 2002. Guest Professorships and collaborations took him to IBM, New York, Toronto, Canada, Auckland, New Zealand, Nice, France, UNAM and CINVESTAV, Mexico, Granada, Spain, Salerno, Italy and the Frankfurt Institute for Advanced Studies (FIAS). Since 2009, he has undertaken the organization of the international conference series "Symmetries in Science".
تاريخ النشر27 Feb 2018
عدد الصفحات258

Quantum Theory From A Nonlinear Perspective : Riccati Equations In Fundamental Physics hardcover english - 27 Feb 2018

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