Beschreibung
Produktdetails
Einband
Taschenbuch
Erscheinungsdatum
28.05.2009
Verlag
VDMSeitenzahl
116
Maße (L/B/H)
22/15/0,7 cm
Gewicht
191 g
Sprache
Englisch
ISBN
978-3-639-15318-7
The book is devoted to mathematical description of
damped oscillations and their relation with the
Euler equation. This equation has been studied by
Leonard Euler starting from 1740 and also is known
as the Cauchy-Euler equidimensional equation.
To develop the Lagrangian and the Hamiltonian
formalism extension of analytical
mechanics to pseudo-Riemannian metrics is
introduced. Depending on
self-adjoint properties of variational functional,
two different descriptions are presented. One of
them, called the dual Bateman system, supply a
damped system with its time reversal image. The
second one imitates damping by the time dependent
mass of the system. Quantization of damped
oscillator and wide class of exactly solvable
nonlinear quantum Euler problems are treated in
details. Intriguing relations with Chern-Simons
topological quantum mechanics and soliton theory are
indicated.
The book is self contained and
pedagogically written as an introduction to the
subject for students at advanced undergraduate and
graduate level from science and engineering
specialties. Also it could be a valuable source for
researchers in the field.
damped oscillations and their relation with the
Euler equation. This equation has been studied by
Leonard Euler starting from 1740 and also is known
as the Cauchy-Euler equidimensional equation.
To develop the Lagrangian and the Hamiltonian
formalism extension of analytical
mechanics to pseudo-Riemannian metrics is
introduced. Depending on
self-adjoint properties of variational functional,
two different descriptions are presented. One of
them, called the dual Bateman system, supply a
damped system with its time reversal image. The
second one imitates damping by the time dependent
mass of the system. Quantization of damped
oscillator and wide class of exactly solvable
nonlinear quantum Euler problems are treated in
details. Intriguing relations with Chern-Simons
topological quantum mechanics and soliton theory are
indicated.
The book is self contained and
pedagogically written as an introduction to the
subject for students at advanced undergraduate and
graduate level from science and engineering
specialties. Also it could be a valuable source for
researchers in the field.
Ein neues Kapitel für Ihre Bücher
Ein neues Kapitel für Ihre Bücher
Schenken Sie Ihren alten Schätzen ein zweites Leben: Einfach Barcode scannen, Versandetikett ausdrucken, Bücher verschicken und Thalia Geschenkkarte erhalten.
Jetzt verkaufenKundinnen und Kunden meinen
Verfassen Sie die erste Bewertung zu diesem Artikel
Helfen Sie anderen Kund*innen durch Ihre Meinung
Kurze Frage zu unserer Seite
Vielen Dank für Ihr Feedback
Wir nutzen Ihr Feedback, um unsere Produktseiten zu verbessern. Bitte haben Sie Verständnis, dass wir Ihnen keine Rückmeldung geben können. Falls Sie Kontakt mit uns aufnehmen möchten, können Sie sich aber gerne an unseren Kund*innenservice wenden.
zum Kundenservice