Classical and Quantum Euler Equation
 |
|
Описание:
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...Похожие книги
 | A Covariant Approach to Gravitational Lensing Автор: Bonita De Swardt Год: 2010 |
 | A Bernstein type theorem on a Randers space Автор: Souza M., Spruck J., Tenenblat K. Год: 2004 |
| Thermal transport for applications in micro/nanomachining Автор: B T Wong,M Pinar Menguc Год: 2008 |
| The Fast Solution of Boundary Integral Equations Автор: Sergej Rjasanow; Olaf Steinbach Год: 2007 |
| The Fast Solution of Boundary Integral Equations Автор: Sergej Rjasanow; Olaf Steinbach Год: 2007 |
| Extending H-infinity Control to Nonlinear Systems: Control of Nonlinear Systems to Achieve Performance Objectives (Advances in Design and Control) Автор: J. William Helton, Matthew R. James Год: 1999 |