An Introduction to Quantum Stochastic Calculus (Monographs in Mathematics)

3 avg rating
( 1 ratings by Goodreads )
 
9783034897112: An Introduction to Quantum Stochastic Calculus (Monographs in Mathematics)
View all copies of this ISBN edition:
 
 

"Elegantly written, with obvious appreciation for fine points of higher mathematics...most notable is [the] author's effort to weave classical probability theory into [a] quantum framework." – The American Mathematical Monthly

"This is an excellent volume which will be a valuable companion both for those who are already active in the field and those who are new to it. Furthermore there are a large number of stimulating exercises scattered through the text which will be invaluable to students." – Mathematical Reviews

An Introduction to Quantum Stochastic Calculus aims to deepen our understanding of the dynamics of systems subject to the laws of chance both from the classical and the quantum points of view and stimulate further research in their unification. This is probably the first systematic attempt to weave classical probability theory into the quantum framework and provides a wealth of interesting features:

The origin of Ito's correction formulae for Brownian motion and the Poisson process can be traced to communication relations or, equivalently, the uncertainty principle.

Quantum stochastic interpretation enables the possibility of seeing new relationships between fermion and boson fields.

Quantum dynamical semigroups as well as classical Markov semigroups are realized through unitary operator evolutions.

The text is almost self-contained and requires only an elementary knowledge of operator theory and probability theory at the graduate level.

"synopsis" may belong to another edition of this title.

From the Back Cover:

An Introduction to Quantum Stochastic Calculus aims to deepen our understanding of the dynamics of systems subject to the laws of chance both from the classical and the quantum points of view and stimulate further research in their unification. This is probably the first systematic attempt to weave classical probability theory into the quantum framework and provides a wealth of interesting features:

The origin of Ito’s correction formulae for Brownian motion and the Poisson process can be traced to commutation relations or, equivalently, the uncertainty principle.
Quantum stochastic integration enables the possibility of seeing new relationships between fermion and boson fields.
Many quantum dynamical semigroups as well as classical Markov semigroups are realised through unitary operator evolutions.

The text is almost self-contained and requires only an elementary knowledge of operator theory and probability theory at the graduate level.

- - -

This is an excellent volume which will be a valuable companion both for those who are already active in the field and those who are new to it. Furthermore there are a large number of stimulating exercises scattered through the text which will be invaluable to students.
(Mathematical Reviews)

This monograph gives a systematic and self-contained introduction to the Fock space quantum stochastic calculus in its basic form (...) by making emphasis on the mathematical aspects of quantum formalism and its connections with classical probability and by extensive presentation of carefully selected functionalanalytic material. This makes the book very convenient for a reader with the probability-theoretic orientation, wishing to make acquaintance with wonders of the noncommutative probability, and, more specifcally, for a mathematics student studying this field.
(Zentralblatt MATH)

Elegantly written, with obvious appreciation for fine points of higher mathematics (...) most notable is [the] author's effort to weave classical probability theory into [a] quantum framework.
(The American Mathematical Monthly)

About the Author:

Kalyanapuram Rangachari Parthasarathy was professor of statistics at the University of Manchester (1968-70), the University of Bombay (1970-76) and the Indian Statistical Institute Delhi Centre (1977-96) where he was also CV Raman Professor of INSA (1996-2001). Now he is Emeritus Scientist at the Indian Statistical Institute in New Delhi.

"About this title" may belong to another edition of this title.

Buy New View Book
List Price: US$ 99.99
US$ 94.78

Convert currency

Shipping: US$ 10.49
From United Kingdom to U.S.A.

Destination, rates & speeds

Add to Basket

Other Popular Editions of the Same Title

9780817626976: An Introduction to Quantum Stochastic Calculus (Monographs in Mathematics; 85 Progress in Physics; 15)

Featured Edition

ISBN 10:  0817626972 ISBN 13:  9780817626976
Publisher: Birkhauser, 1999
Hardcover

9783034886420: An Introduction to Quantum Stochastic Calculus

Spring..., 1992
Softcover

Top Search Results from the AbeBooks Marketplace

1.

K.R. PARTHASARATHY
Published by Birkhäuser (2012)
ISBN 10: 3034897111 ISBN 13: 9783034897112
New Paperback Quantity Available: 1
Seller:
Herb Tandree Philosophy Books
(Stroud, GLOS, United Kingdom)
Rating
[?]

Book Description Birkhäuser, 2012. Paperback. Condition: NEW. 9783034897112 This listing is a new book, a title currently in-print which we order directly and immediately from the publisher. For all enquiries, please contact Herb Tandree Philosophy Books directly - customer service is our primary goal. Seller Inventory # HTANDREE0731235

More information about this seller | Contact this seller

Buy New
US$ 94.78
Convert currency

Add to Basket

Shipping: US$ 10.49
From United Kingdom to U.S.A.
Destination, rates & speeds

2.

K. R. Parthasarathy
Published by Springer Basel (2012)
ISBN 10: 3034897111 ISBN 13: 9783034897112
New Quantity Available: > 20
Print on Demand
Seller:
Books2Anywhere
(Fairford, GLOS, United Kingdom)
Rating
[?]

Book Description Springer Basel, 2012. PAP. Condition: New. New Book. Delivered from our UK warehouse in 3 to 5 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Seller Inventory # LQ-9783034897112

More information about this seller | Contact this seller

Buy New
US$ 98.73
Convert currency

Add to Basket

Shipping: US$ 11.83
From United Kingdom to U.S.A.
Destination, rates & speeds

3.

Parthasarathy, K. R.
Published by Springer Basel (2012)
ISBN 10: 3034897111 ISBN 13: 9783034897112
New Quantity Available: > 20
Print on Demand
Seller:
Pbshop
(Wood Dale, IL, U.S.A.)
Rating
[?]

Book Description Springer Basel, 2012. PAP. Condition: New. New Book. Shipped from US within 10 to 14 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Seller Inventory # IQ-9783034897112

More information about this seller | Contact this seller

Buy New
US$ 109.69
Convert currency

Add to Basket

Shipping: US$ 3.99
Within U.S.A.
Destination, rates & speeds

4.

Parthasarathy, K.R.
Published by Birkhäuser (2012)
ISBN 10: 3034897111 ISBN 13: 9783034897112
New Paperback Quantity Available: 10
Seller:
Ergodebooks
(RICHMOND, TX, U.S.A.)
Rating
[?]

Book Description Birkhäuser, 2012. Paperback. Condition: New. Seller Inventory # INGM9783034897112

More information about this seller | Contact this seller

Buy New
US$ 109.87
Convert currency

Add to Basket

Shipping: US$ 3.99
Within U.S.A.
Destination, rates & speeds

5.

K. R. Parthasarathy
Published by Birkhäuser (2012)
ISBN 10: 3034897111 ISBN 13: 9783034897112
New Softcover Quantity Available: 15
Print on Demand
Seller:
Rating
[?]

Book Description Birkhäuser, 2012. Condition: New. This item is printed on demand for shipment within 3 working days. Seller Inventory # LP9783034897112

More information about this seller | Contact this seller

Buy New
US$ 112.35
Convert currency

Add to Basket

Shipping: US$ 3.21
From Germany to U.S.A.
Destination, rates & speeds

6.

K. R. Parthasarathy
Published by Birkhäuser
ISBN 10: 3034897111 ISBN 13: 9783034897112
New Paperback Quantity Available: > 20
Seller:
BuySomeBooks
(Las Vegas, NV, U.S.A.)
Rating
[?]

Book Description Birkhäuser. Paperback. Condition: New. 292 pages. Dimensions: 10.0in. x 7.0in. x 0.7in.Elegantly written, with obvious appreciation for fine points of higher mathematics. . . most notable is the authors effort to weave classical probability theory into a quantum framework. The American Mathematical Monthly This is an excellent volume which will be a valuable companion both for those who are already active in the field and those who are new to it. Furthermore there are a large number of stimulating exercises scattered through the text which will be invaluable to students. Mathematical Reviews An Introduction to Quantum Stochastic Calculus aims to deepen our understanding of the dynamics of systems subject to the laws of chance both from the classical and the quantum points of view and stimulate further research in their unification. This is probably the first systematic attempt to weave classical probability theory into the quantum framework and provides a wealth of interesting features: The origin of Itos correction formulae for Brownian motion and the Poisson process can be traced to communication relations or, equivalently, the uncertainty principle. Quantum stochastic interpretation enables the possibility of seeing new relationships between fermion and boson fields. Quantum dynamical semigroups as well as classical Markov semigroups are realized through unitary operator evolutions. The text is almost self-contained and requires only an elementary knowledge of operator theory and probability theory at the graduate level. This item ships from multiple locations. Your book may arrive from Roseburg,OR, La Vergne,TN. Paperback. Seller Inventory # 9783034897112

More information about this seller | Contact this seller

Buy New
US$ 131.96
Convert currency

Add to Basket

Shipping: FREE
Within U.S.A.
Destination, rates & speeds

7.

K.R. Parthasarathy
Published by Birkhäuser (2012)
ISBN 10: 3034897111 ISBN 13: 9783034897112
New Softcover Quantity Available: 1
Seller:
Irish Booksellers
(Portland, ME, U.S.A.)
Rating
[?]

Book Description Birkhäuser, 2012. Condition: New. book. Seller Inventory # M3034897111

More information about this seller | Contact this seller

Buy New
US$ 142.10
Convert currency

Add to Basket

Shipping: US$ 3.27
Within U.S.A.
Destination, rates & speeds

8.

K.R. Parthasarathy
Published by Birkhaeuser (2012)
ISBN 10: 3034897111 ISBN 13: 9783034897112
New Paperback Quantity Available: 2
Seller:
Revaluation Books
(Exeter, United Kingdom)
Rating
[?]

Book Description Birkhaeuser, 2012. Paperback. Condition: Brand New. 10.10x7.10 inches. In Stock. Seller Inventory # x-3034897111

More information about this seller | Contact this seller

Buy New
US$ 140.04
Convert currency

Add to Basket

Shipping: US$ 9.86
From United Kingdom to U.S.A.
Destination, rates & speeds

9.

K. R. Parthasarathy
Published by Springer Basel, Switzerland (2012)
ISBN 10: 3034897111 ISBN 13: 9783034897112
New Paperback Quantity Available: 10
Print on Demand
Seller:
The Book Depository EURO
(London, United Kingdom)
Rating
[?]

Book Description Springer Basel, Switzerland, 2012. Paperback. Condition: New. Language: English . Brand New Book ***** Print on Demand *****. Elegantly written, with obvious appreciation for fine points of higher mathematics.most notable is [the] author s effort to weave classical probability theory into [a] quantum framework. - The American Mathematical Monthly This is an excellent volume which will be a valuable companion both for those who are already active in the field and those who are new to it. Furthermore there are a large number of stimulating exercises scattered through the text which will be invaluable to students. - Mathematical Reviews An Introduction to Quantum Stochastic Calculus aims to deepen our understanding of the dynamics of systems subject to the laws of chance both from the classical and the quantum points of view and stimulate further research in their unification. This is probably the first systematic attempt to weave classical probability theory into the quantum framework and provides a wealth of interesting features: The origin of Ito s correction formulae for Brownian motion and the Poisson process can be traced to communication relations or, equivalently, the uncertainty principle. Quantum stochastic interpretation enables the possibility of seeing new relationships between fermion and boson fields. Quantum dynamical semigroups as well as classical Markov semigroups are realized through unitary operator evolutions. The text is almost self-contained and requires only an elementary knowledge of operator theory and probability theory at the graduate level. Softcover reprint of the original 1st ed. 1992. Seller Inventory # AAV9783034897112

More information about this seller | Contact this seller

Buy New
US$ 151.50
Convert currency

Add to Basket

Shipping: US$ 3.94
From United Kingdom to U.S.A.
Destination, rates & speeds