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Books > Science & Mathematics > Physics > Quantum physics (quantum mechanics)
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Quantum Stochastics (Hardcover)
Loot Price: R1,878
Discovery Miles 18 780
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Quantum Stochastics (Hardcover)
Series: Cambridge Series in Statistical and Probabilistic Mathematics
Expected to ship within 10 - 15 working days
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The classical probability theory initiated by Kolmogorov and its
quantum counterpart, pioneered by von Neumann, were created at
about the same time in the 1930s, but development of the quantum
theory has trailed far behind. Although highly appealing, the
quantum theory has a steep learning curve, requiring tools from
both probability and analysis and a facility for combining the two
viewpoints. This book is a systematic, self-contained account of
the core of quantum probability and quantum stochastic processes
for graduate students and researchers. The only assumed background
is knowledge of the basic theory of Hilbert spaces, bounded linear
operators, and classical Markov processes. From there, the book
introduces additional tools from analysis, and then builds the
quantum probability framework needed to support applications to
quantum control and quantum information and communication. These
include quantum noise, quantum stochastic calculus, stochastic
quantum differential equations, quantum Markov semigroups and
processes, and large-time asymptotic behavior of quantum Markov
semigroups.
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