|
Books > Science & Mathematics > Mathematics > Applied mathematics > Mathematical modelling
|
Buy Now
Supermathematics and its Applications in Statistical Physics - Grassmann Variables and the Method of Supersymmetry (Paperback, 1st ed. 2016)
Loot Price: R3,633
Discovery Miles 36 330
|
|
|
Supermathematics and its Applications in Statistical Physics - Grassmann Variables and the Method of Supersymmetry (Paperback, 1st ed. 2016)
Series: Lecture Notes in Physics, 920
Expected to ship within 10 - 15 working days
|
This text presents the mathematical concepts of Grassmann variables
and the method of supersymmetry to a broad audience of physicists
interested in applying these tools to disordered and critical
systems, as well as related topics in statistical physics. Based on
many courses and seminars held by the author, one of the pioneers
in this field, the reader is given a systematic and tutorial
introduction to the subject matter. The algebra and analysis of
Grassmann variables is presented in part I. The mathematics of
these variables is applied to a random matrix model, path integrals
for fermions, dimer models and the Ising model in two dimensions.
Supermathematics - the use of commuting and anticommuting variables
on an equal footing - is the subject of part II. The properties of
supervectors and supermatrices, which contain both commuting and
Grassmann components, are treated in great detail, including the
derivation of integral theorems. In part III, supersymmetric
physical models are considered. While supersymmetry was first
introduced in elementary particle physics as exact symmetry between
bosons and fermions, the formal introduction of anticommuting
spacetime components, can be extended to problems of statistical
physics, and, since it connects states with equal energies, has
also found its way into quantum mechanics. Several models are
considered in the applications, after which the representation of
the random matrix model by the nonlinear sigma-model, the
determination of the density of states and the level correlation
are derived. Eventually, the mobility edge behavior is discussed
and a short account of the ten symmetry classes of disorder,
two-dimensional disordered models, and superbosonization is given.
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..
|
Email address subscribed successfully.
A activation email has been sent to you.
Please click the link in that email to activate your subscription.
Welcome to Loot.co.za!
Sign in / Register |Wishlists & Gift Vouchers |Help | Advanced search
bundle available
