Zobrazeno 1 - 10
of 122
pro vyhledávání: '"Kriel, J"'
We develop scattering theory in a non-commutative space defined by a $su(2)$ coordinate algebra. By introducing a positive operator valued measure as a replacement for strong position measurements, we are able to derive explicit expressions for the p
Externí odkaz:
http://arxiv.org/abs/1612.01306
The formalism of quantum state space geometry on manifolds of generalised coherent states is proposed as a natural setting for the construction of geometric dual descriptions of non-relativistic quantum systems. These state manifolds are equipped wit
Externí odkaz:
http://arxiv.org/abs/1509.02040
We use the recently derived density of states for a particle confined to a spherical well in three dimensional fuzzy space to compute the thermodynamics of a gas of non-interacting fermions confined to such a well. Special emphasis is placed on non-c
Externí odkaz:
http://arxiv.org/abs/1508.05799
Autor:
Kriel, J F
The prime challenge to those responsible for the management of South Africa’s estuaries is to maintain their viability in the face of ever increasing pressures. It is important that we learn to appreciate the value of estuaries and that we act wise
Externí odkaz:
http://hdl.handle.net/10948/214
We develop the formalism of quantum mechanics on three dimensional fuzzy space and solve the Schr\"odinger equation for a free particle, finite and infinite fuzzy wells. We show that all results reduce to the appropriate commutative limits. A high en
Externí odkaz:
http://arxiv.org/abs/1407.5857
Autor:
Kriel, J. N., Scholtz, F. G.
We use the well-known isomorphism between operator algebras and function spaces equipped with a star product to study the asymptotic properties of certain matrix sequences in which the matrix dimension $D$ tends to infinity. Our approach is based on
Externí odkaz:
http://arxiv.org/abs/1206.0820
Autor:
Kriel, J N, Scholtz, F G
We construct an explicit duality between the interacting quantum Hall system in the lowest Landau level and a non-interacting Landau problem. This is done by absorbing the interaction into the gauge field in the form of an effective magnetic vector p
Externí odkaz:
http://arxiv.org/abs/cond-mat/0702101
Autor:
Kriel, J. N.
Publikováno v:
J N Kriel et al 2005 J. Phys. A: Math. Gen. 38 205-226
The goal of this thesis is the development and implementation of a non-perturbative solution method for Wegner's flow equations. We show that a parameterization of the flowing Hamiltonian in terms of a scalar function allows the flow equation to be r
Externí odkaz:
http://arxiv.org/abs/cond-mat/0602022
Publikováno v:
J.Phys. A38 (2005) 205-226
We use a novel parameterization of the flowing Hamiltonian to show that the flow equations based on continuous unitary transformations, as proposed by Wegner, can be implemented through a nonlinear partial differential equation involving one flow par
Externí odkaz:
http://arxiv.org/abs/cond-mat/0408420
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