Author | Eyre, Timothy M. W. author |
---|---|

Title | Quantum Stochastic Calculus and Representations of Lie Superalgebras [electronic resource] / by Timothy M. W. Eyre |

Imprint | Berlin, Heidelberg : Springer Berlin Heidelberg, 1998 |

Connect to | http://dx.doi.org/10.1007/BFb0096850 |

Descript | VIII, 148 p. online resource |

SUMMARY

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

CONTENT

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

Mathematics
Topological groups
Lie groups
Probabilities
Quantum physics
Quantum computers
Spintronics
Mathematics
Probability Theory and Stochastic Processes
Quantum Information Technology Spintronics
Quantum Physics
Topological Groups Lie Groups