Quantum stochastic calculus and representations of Lie superalgebras

著者

• Eyre, Timothy M. W

書誌事項

Quantum stochastic calculus and representations of Lie superalgebras

Timothy M.W. Eyre

（Lecture notes in mathematics, 1692）

Springer, c1998

注記

Includes bibliographical references and index

内容説明・目次

内容説明

This book describes the representations of Lie superalgebras that are yielded by a graded version of Hudson-Parthasarathy quantum stochastic calculus. Quantum stochastic calculus and grading theory are given concise introductions, extending readership to mathematicians and physicists with a basic knowledge of algebra and infinite-dimensional Hilbert spaces. The develpment of an explicit formula for the chaotic expansion of a polynomial of quantum stochastic integrals is particularly interesting. The book aims to provide a self-contained exposition of what is known about Z_2-graded quantum stochastic calculus and to provide a framework for future research into this new and fertile area.

目次

Quantum stochastic calculus.- Z2-graded structures.- Representations of lie superalgebras in Z2-graded quantum stochastic calculus.- The ungraded higher order Ito product formula.- The Ito superalgebra.- Some results in Z2-graded quantum stochastic calculus.- Chaotic expansions.- Extensions.

「Nielsen BookData」 より

• NII書誌ID(NCID): BA37981026
• ISBN:
  • 3540648976
• 出版国コード: gw
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: Berlin
• ページ数/冊数: viii, 138 p.
• 大きさ: 24 cm
• 分類:
  • NDC8 : 411.6
• 親書誌ID:
  • BA00146586