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Books > Science & Mathematics > Physics > Quantum physics (quantum mechanics)
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Unstable Systems (Hardcover, 1st ed. 2020)
Loot Price: R2,886
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Unstable Systems (Hardcover, 1st ed. 2020)
Series: Mathematical Physics Studies
Expected to ship within 10 - 15 working days
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This book focuses on unstable systems both from the classical and
the quantum mechanical points of view and studies the relations
between them. The first part deals with quantum systems. Here the
main generally used methods today, such as the Gamow approach, and
the Wigner-Weisskopf method, are critically discussed. The quantum
mechanical Lax-Phillips theory developed by the authors, based on
the dilation theory of Nagy and Foias and its more general
extension to approximate semigroup evolution is explained. The
second part provides a description of approaches to classical
stability analysis and introduces geometrical methods recently
developed by the authors, which are shown to be highly effective in
diagnosing instability and, in many cases, chaotic behavior. It is
then shown that, in the framework of the theory of symplectic
manifolds, there is a systematic algorithm for the construction of
a canonical transformation of any standard potential model
Hamiltonian to geometric form, making accessible powerful geometric
methods for stability analysis in a wide range of applications.
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