Singular Perturbations of Differential Operators: Solvable Schrödinger-type Operators (repost)
Singular Perturbations of Differential Operators: Solvable Schrödinger-type Operators (London Mathematical Society Lecture Note Series, Book 271) by S. Albeverio and P. Kurasov
English | 2000 | ISBN: 052177912X | ISBN-13: 9780521779128 | 444 pages | PDF | 18 MB
English | 2000 | ISBN: 052177912X | ISBN-13: 9780521779128 | 444 pages | PDF | 18 MB
Differential and more general self-adjoint operators involving singular interactions arise naturally in a range of subjects such as classical and quantum physics, chemistry, and electronics. This book is a systematic mathematical study of these operators, with particular emphasis on spectral and scattering problems.
The methods discussed are based on a new concept of symplectic structure of the "boundary form." Suitable for researchers in analysis or mathematical physics, this volume could also be used as a text for an advanced course on the applications of analysis.