The Bethe Ansatz and Exact Solutions of the Kondo and Related Magnetic Impurity Models

1984 ◽  
pp. 51-73
Author(s):  
A.C. Hewson
Keyword(s):  
Exact Solutions ◽  
Bethe Ansatz ◽  
Magnetic Impurity ◽  
Impurity Models

scholarly journals Singular dynamics of underscreened magnetic impurity models

2005 ◽  
Vol 72 (4) ◽  
Author(s):  
Winfried Koller ◽  
Alex C. Hewson ◽  
Dietrich Meyer
Keyword(s):  
Magnetic Impurity ◽  
Impurity Models

scholarly journals A Novel Exact Solution of the 2+1-Dimensional Radial Dirac Equation for the Generalized Dirac Oscillator with the Inverse Potentials

2019 ◽  
Vol 2019 ◽  
pp. 1-11 ◽  
Author(s):  
ZiLong Zhao ◽  
ZhengWen Long ◽  
MengYao Zhang
Keyword(s):  
Exact Solution ◽  
Quantum Mechanics ◽  
Dirac Equation ◽  
Exact Solutions ◽  
Bethe Ansatz ◽  
Dirac Oscillator ◽  
Solvable Models ◽  
Ansatz Method ◽  
Radial Dirac Equation

The generalized Dirac oscillator as one of the exact solvable models in quantum mechanics was introduced in 2+1-dimensional world in this paper. What is more, the general expressions of the exact solutions for these models with the inverse cubic, quartic, quintic, and sixth power potentials in radial Dirac equation were further given by means of the Bethe ansatz method. And finally, the corresponding exact solutions in this paper were further discussed.

scholarly journals Exact solutions for the LMG model Hamiltonian based on the Bethe ansatz

2006 ◽  
Vol 737 (3) ◽  
pp. 337-350 ◽  
Author(s):  
Hiroyuki Morita ◽  
Hiromasa Ohnishi ◽  
João da Providência ◽  
Seiya Nishiyama
Keyword(s):  
Exact Solutions ◽  
Bethe Ansatz ◽  
Model Hamiltonian

scholarly journals RENORMALIZATION GROUP APPROACHES TO STRONGLY CORRELATED ELECTRON SYSTEMS

2001 ◽  
Vol 15 (19n20) ◽  
pp. 2549-2567 ◽  
Author(s):  
A. C. HEWSON ◽  
S. C. BRADLEY ◽  
R. BULLA ◽  
Y. ŌNO
Keyword(s):  
Perturbation Theory ◽  
Renormalization Group ◽  
Magnetic Impurity ◽  
Strongly Correlated Electron Systems ◽  
Strongly Correlated ◽  
Electron Systems ◽  
Strongly Correlated Electron ◽  
Correlated Electron Systems ◽  
Correlated Electron ◽  
Impurity Models

In recent years the numerical renormalization group (NRG) method has been extended to the calculation of dynamic response functions and transport properties of magnetic impurity models. The approach can now be applied more widely to lattice models of strongly correlated electron systems by the use of dynamical mean field theory (DMFT), in which the lattice problem is transformed into one for an effective impurity with an additional self-consistency constraint. We review these developments and assess the potential for further applications of this approach. We also discuss an alternative approach to renormalization, renormalized perturbation theory, in which the leading asymptotically exact results for the low temperature regime for a number of magnetic impurity models can be obtained within finite order perturbation theory.

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