Quantum Probability for Probabilists

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Springer Science & Business Media, Nov 17, 1995 - Mathematics - 316 pages
In recent years, the classical theory of stochastic integration and stochastic differential equations has been extended to a non-commutative set-up to develop models for quantum noises. The author, a specialist of classical stochastic calculus and martingale theory, tries to provide an introduction to this rapidly expanding field in a way which should be accessible to probabilists familiar with the Ito integral. It can also, on the other hand, provide a means of access to the methods of stochastic calculus for physicists familiar with Fock space analysis. For this second edition, the author has added about 30 pages of new material, mostly on quantum stochastic integrals.
 

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Contents

Chapter I
1
Chapter II Spin
13
Chapter III
43
Chapter IV
57
Chapter V
103
122
122
Chapter VI
125
132
132
Chapter VII
195
204
204
Appendix 1
209
Appendix 2
218
Appendix 3
231
Appendix 4
234
Appendix 5
264
Appendix 6
286

145
145
SOME RIGOROUS RESULTS
171
References
300
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