عنوان

C 0-Groups, Commutator Methods and Spectral Theory of N-Body Hamiltonians

شابک

9783034877626

شابک

9783034877640

شماره

b406192

عنوان اصلي

C 0-Groups, Commutator Methods and Spectral Theory of N-Body Hamiltonians

نام عام مواد

[Book]

نام نخستين پديدآور

by Werner O. Amrein, Anne Boutet Monvel, Vladimir Georgescu.

محل نشرو پخش و غیره

Basel :

نام ناشر، پخش کننده و غيره

Imprint: Birkhäuser,

تاریخ نشرو بخش و غیره

1996.

عنوان فروست

Progress in Mathematics ;

مشخصه جلد

135

متن يادداشت

1 Some Spaces of Functions and Distributions -- 2 Real Interpolation of Banach Spaces -- 3 C0-Groups and Functional Calculi -- 4 Some Examples of C0-Groups -- 5 Automorphisms Associated to C0-Representations -- 6 Unitary Representations and Regularity -- 7 The Conjugate Operator Method -- 8 An Algebraic Framework for the Many-Body Problem -- 9 Spectral Theory of N-Body Hamiltonians -- 10 Quantum-Mechanical N-Body Systems -- Notations.

بدون عنوان

0

متن يادداشت

The relevance of commutator methods in spectral and scattering theory has been known for a long time, and numerous interesting results have been ob tained by such methods. The reader may find a description and references in the books by Putnam [Pu], Reed-Simon [RS] and Baumgartel-Wollenberg [BW] for example. A new point of view emerged around 1979 with the work of E. Mourre in which the method of locally conjugate operators was introduced. His idea proved to be remarkably fruitful in establishing detailed spectral properties of N-body Hamiltonians. A problem that was considered extremely difficult be fore that time, the proof of the absence of a singularly continuous spectrum for such operators, was then solved in a rather straightforward manner (by E. Mourre himself for N = 3 and by P. Perry, 1. Sigal and B. Simon for general N). The Mourre estimate, which is the main input of the method, also has consequences concerning the behaviour of N-body systems at large times. A deeper study of such propagation properties allowed 1. Sigal and A. Soffer in 1985 to prove existence and completeness of wave operators for N-body systems with short range interactions without implicit conditions on the potentials (for N = 3, similar results were obtained before by means of purely time-dependent methods by V. Enss and by K. Sinha, M. Krishna and P. Muthuramalingam). Our interest in commutator methods was raised by the major achievements mentioned above.

شماره استاندارد بين المللي کتاب و موسيقي

9783034877640

عنوان

Springer eBooks

موضوع مستند نشده

Global analysis (Mathematics).

موضوع مستند نشده

Mathematics.

مستند نام اشخاص تاييد نشده

Amrein, Werner O.

مستند نام اشخاص تاييد نشده

Georgescu, Vladimir.

مستند نام اشخاص تاييد نشده

Monvel, Anne Boutet.

مستند نام تنالگان تاييد نشده

SpringerLink (Online service)

تاريخ عمليات

20190301075200.0

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y