This 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 ...
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This 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.
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Add this copy of Quantum Theory from a Nonlinear Perspective: Riccati to cart. $115.64, new condition, Sold by Ria Christie Books rated 4.0 out of 5 stars, ships from Uxbridge, MIDDLESEX, UNITED KINGDOM, published 2019 by Springer International Publishing AG.
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New. Contains: Illustrations, black & white, Illustrations, color. Fundamental Theories of Physics . XIV, 258 p. 15 illus., 7 illus. in color. Intended for professional and scholarly audience.
Add this copy of Quantum Theory from a Nonlinear Perspective: Riccati to cart. $115.66, new condition, Sold by Ria Christie Books rated 4.0 out of 5 stars, ships from Uxbridge, MIDDLESEX, UNITED KINGDOM, published 2018 by Springer.
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New. Sewn binding. Cloth over boards. 258 p. Contains: Unspecified, Illustrations, black & white, Illustrations, color. Fundamental Theories of Physics, 191.
Add this copy of Quantum Theory from a Nonlinear Perspective: Riccati to cart. $121.72, new condition, Sold by Ingram Customer Returns Center rated 5.0 out of 5 stars, ships from NV, USA, published 2019 by Springer International Publishing AG.
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Seller's Description:
New. Print on demand Contains: Illustrations, black & white, Illustrations, color. Fundamental Theories of Physics . XIV, 258 p. 15 illus., 7 illus. in color. Intended for professional and scholarly audience.
Add this copy of Quantum Theory from a Nonlinear Perspective: Riccati to cart. $121.72, new condition, Sold by Ingram Customer Returns Center rated 5.0 out of 5 stars, ships from NV, USA, published 2018 by Springer.
Choose your shipping method in Checkout. Costs may vary based on destination.
Seller's Description:
New. Print on demand Sewn binding. Cloth over boards. 258 p. Contains: Unspecified, Illustrations, black & white, Illustrations, color. Fundamental Theories of Physics, 191.
