|
Books > Science & Mathematics > Physics > Quantum physics (quantum mechanics)
|
Buy Now
Gauge Invariance and Weyl-polymer Quantization (Paperback, 1st ed. 2016)
Loot Price: R1,678
Discovery Miles 16 780
|
|
|
Gauge Invariance and Weyl-polymer Quantization (Paperback, 1st ed. 2016)
Series: Lecture Notes in Physics, 904
Expected to ship within 10 - 15 working days
|
The book gives an introduction to Weyl non-regular quantization
suitable for the description of physically interesting quantum
systems, where the traditional Dirac-Heisenberg quantization is not
applicable. The latter implicitly assumes that the canonical
variables describe observables, entailing necessarily the
regularity of their exponentials (Weyl operators). However, in
physically interesting cases -- typically in the presence of a
gauge symmetry -- non-observable canonical variables are introduced
for the description of the states, namely of the relevant
representations of the observable algebra. In general, a gauge
invariant ground state defines a non-regular representation of the
gauge dependent Weyl operators, providing a mathematically
consistent treatment of familiar quantum systems -- such as the
electron in a periodic potential (Bloch electron), the Quantum Hall
electron, or the quantum particle on a circle -- where the gauge
transformations are, respectively, the lattice translations, the
magnetic translations and the rotations of 2 . Relevant examples
are also provided by quantum gauge field theory models, in
particular by the temporal gauge of Quantum Electrodynamics,
avoiding the conflict between the Gauss law constraint and the
Dirac-Heisenberg canonical quantization. The same applies to
Quantum Chromodynamics, where the non-regular quantization of the
temporal gauge provides a simple solution of the U(1) problem and a
simple link between the vacuum structure and the topology of the
gauge group. Last but not least, Weyl non-regular quantization is
briefly discussed from the perspective of the so-called polymer
representations proposed for Loop Quantum Gravity in connection
with diffeomorphism invariant vacuum states.
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
