|
Books > Science & Mathematics > Physics > Quantum physics (quantum mechanics)
|
Buy Now
Coherent States, Wavelets, and Their Generalizations (Paperback, Softcover reprint of the original 2nd ed. 2014)
Loot Price: R6,143
Discovery Miles 61 430
|
|
|
Coherent States, Wavelets, and Their Generalizations (Paperback, Softcover reprint of the original 2nd ed. 2014)
Series: Theoretical and Mathematical Physics
Expected to ship within 10 - 15 working days
|
This second edition is fully updated, covering in particular new
types of coherent states (the so-called Gazeau-Klauder coherent
states, nonlinear coherent states, squeezed states, as used now
routinely in quantum optics) and various generalizations of
wavelets (wavelets on manifolds, curvelets, shearlets, etc.). In
addition, it contains a new chapter on coherent state quantization
and the related probabilistic aspects. As a survey of the theory of
coherent states, wavelets, and some of their generalizations, it
emphasizes mathematical principles, subsuming the theories of both
wavelets and coherent states into a single analytic structure. The
approach allows the user to take a classical-like view of quantum
states in physics. Starting from the standard theory of coherent
states over Lie groups, the authors generalize the formalism by
associating coherent states to group representations that are
square integrable over a homogeneous space; a further step allows
one to dispense with the group context altogether. In this context,
wavelets can be generated from coherent states of the affine group
of the real line, and higher-dimensional wavelets arise from
coherent states of other groups. The unified background makes
transparent an entire range of properties of wavelets and coherent
states. Many concrete examples, such as coherent states from
semisimple Lie groups, Gazeau-Klauder coherent states, coherent
states for the relativity groups, and several kinds of wavelets,
are discussed in detail. The book concludes with a palette of
potential applications, from the quantum physically oriented, like
the quantum-classical transition or the construction of adequate
states in quantum information, to the most innovative techniques to
be used in data processing. Intended as an introduction to current
research for graduate students and others entering the field, the
mathematical discussion is self-contained. With its extensive
references to the research literature, the first edition of the
book is already a proven compendium for physicists and
mathematicians active in the field, and with full coverage of the
latest theory and results the revised second edition is even more
valuable.
General
Is the information for this product incomplete, wrong or inappropriate?
Let us know about it.
Does this product have an incorrect or missing image?
Send us a new image.
Is this product missing categories?
Add more categories.
Review This Product
No reviews yet - be the first to create one!
|
You might also like..
|
Welcome to Loot.co.za!
Sign in / Register |Wishlists & Gift Vouchers |Help | Advanced search
