**ISBN:** 082180717X

**Author:** Harald Upmeier

**Language:** English

**Publisher:** American Mathematical Society (December 31, 1987)

**Pages:** 85

**Category:** Science & Mathematics

**Subcategory:** Other

**Rating:** 4.4

**Votes:** 774

**Size Fb2:** 1191 kb

**Size ePub:** 1440 kb

**Size Djvu:** 1580 kb

**Other formats:** doc mbr lrf lrf

CBMS Regional Conference Series in Mathematics Volume: 67; 1987; 85 pp. .This book is based on the CBMS Regional Conference held at the University of California, Irvine, in July 1985.

A co-publication of the AMS and CBMS. Jordan algebras have found interesting applications in seemingly unrelated areas of mathematics such as operator theory, the foundations of quantum mechanics, complex analysis in finite and infinite dimensions, and harmonic analysis on homogeneous spaces.

Jordan algebras have found interesting applications in seemingly unrelated areas of mathematics such as operator theory, the foundations of quantum mechanics, complex analysis in finite and infinite dimensions, and harmonic analysis on homogeneous spaces. This book describes some relevant results and puts them in a general framework.

Электронная книга "Jordan Algebras in Analysis, Operator Theory, and Quantum Mechanics: Issue 67", Harald Upmeier. Эту книгу можно прочитать в Google Play Книгах на компьютере, а также на устройствах Android и iOS. Выделяйте текст, добавляйте закладки и делайте заметки, скачав книгу "Jordan Algebras in Analysis, Operator Theory, and Quantum Mechanics: Issue 67" для чтения в офлайн-режиме.

oceedings{Upmeier1987JordanAI, title {Jordan algebras in analysis, operator theory .

oceedings{Upmeier1987JordanAI, title {Jordan algebras in analysis, operator theory, and quantum mechanics}, author {Harald Upmeier}, year {1987} }. Harald Upmeier.

Quantum mechanics and the theory of operators on Hilbert space have .

States of a quantum system correspond to certain elements of the configuration space and observables correspond to certain operators on the space. This book is a brief, but self-contained, introduction to the mathematical methods of quantum mechanics, with a view towards applications to Schrodinger operators. Part 1 of the book is a concise introduction to the spectral theory of unbounded operators. Only those topics that will be needed for later applications are covered.

In mathematics, Jordan operator algebras are real or complex Jordan algebras with the compatible structure of a.

In mathematics, Jordan operator algebras are real or complex Jordan algebras with the compatible structure of a Banach space. When the coefficients are real numbers, the algebras are called Jordan Banach algebras. The theory has been extensively developed only for the subclass of JB algebras. Upmeier, H. (1987), Jordan algebras in analysis, operator theory, and quantum mechanics, CBMS Regional Conference Series in Mathematics, 67, American Mathematical Society, ISBN 082180717X. Wright, J. D. M. (1977), "Jordan C∗-algebras", Michigan Math. 1307/mmj/1029001946, Zbl 0384.

H. Widom,When are differentiable functions differentiable?, in Linear and Complex Analysis Problem Book.

Upmeier, Jordan Algebras in Analysis, Operator Theory, and Quantum Mechanics, AMS-CBMS Regional Conference Series no. 67, 1987. 16. H. Upmeier,Über die n von Banach Mannigfaltigkeiten mit Invarianter Metrik, Math.

Upmeier, H. Knus, Max-Albert; Merkurjev, Alexander; Rost, Markus; Tignol, Jean-Pierre (1998), The book of involutions, Colloquium Publications, 44, With a preface by J. Tits, Providence, RI: American Mathematical Society, ISBN 0-8218-0904-0, Zbl 0955.

The mathematical formulations of quantum mechanics are those mathematical formalisms that permit a rigorous description of quantum mechanics. Such are distinguished from mathematical formalisms for theories developed prior to the early 1900s by the use of abstract mathematical structures, such as Hilbert spaces and operators on these spaces.

Series: CBMS Regional Conference Series in Mathematics (Book 106). Paperback: 373 pages. Publisher: American Mathematical Society (July 1, 2006). This item: Local And Global Analysis of Nonlinear Dispersive And Wave Equations (CBMS Regional Conference Series in Mathematics). Customers who viewed this item also viewed.