Quantization Methods in the Theory of Differential Equations
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A01=B.-W. Schulze
A01=Boris Yu. Sternin
A01=Vladimir E. Nazaikinskii
advanced PDE methods
Asymptotic Solution
Author_B.-W. Schulze
Author_Boris Yu. Sternin
Author_Vladimir E. Nazaikinskii
Canonical Operator
Canonical Transformations
Category=PBKJ
Cauchy Problem
Classical Observable
Commutation Relations
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Finite Motions
Gaussian Wave Packets
Hamilton Jacobi Equation
Hamiltonian Vector Field
High Frequency Asymptotics
Lagrangian Manifold
Lie Algebra
Limit Absorption Principle
mathematical physics
microlocal analysis
noncommutative geometry
operator theory
Ordinary Differential Equations
Oscillatory Integrals
Phase Function
Pseudodifferential Operators
Quantum Fourier Transform
Quantum Observable
semiclassical analysis techniques
spectral theory
Standard Symplectic Form
Stationary Phase Method
Subprincipal Symbol
Wave Packet
Wave Packet Method
Product details
- ISBN 9780415273640
- Weight: 780g
- Dimensions: 178 x 254mm
- Publication Date: 16 May 2002
- Publisher: Taylor & Francis Ltd
- Publication City/Country: GB
- Product Form: Hardback
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This volume presents a systematic and mathematically rigorous exposition of methods for studying linear partial differential equations. It focuses on quantization of the corresponding objects (states, observables and canonical transformations) in the phase space. The quantization of all three types of classical objects is carried out in a unified way with the use of a special integral transform. This book covers recent as well as established results, treated within the framework of a universal approach. It also includes applications and provides a useful reference text for graduate and research-level readers.
Vladimir E. Nazaikinskii, B.-W. Schulze, Boris Yu. Sternin
