scholarly journals RENORMALIZATION GROUP APPROACH TO EFFECTIVE HAMILTONIANS

1996 ◽  
Vol 11 (27) ◽  
pp. 2233-2240 ◽  
Author(s):  
T.J. FIELDS ◽  
J.P. VARY ◽  
K.S. GUPTA
Keyword(s):  
Renormalization Group ◽  
Renormalization Scheme ◽  
Quantum Mechanical ◽  
Scale Invariant ◽  
Group Approach ◽  
Renormalization Group Approach ◽  
Β Function ◽  
Quantum Mechanical Systems ◽  
Invariant Quantum ◽  
Effective Hamiltonians

We introduce a way of implementing renormalization within the context of the theory of effective Hamiltonians. Our renormalization scheme involves manipulations at the level of the generalized G-matrix and is independent of any specific kinematics. We show how to calculate the β-function within this context and exhibit our method using simple scale-invariant quantum mechanical systems.

Renormalization group approach to quantum Hamiltonian dynamics

2015 ◽  
Vol 30 (09) ◽  
pp. 1530023 ◽  
Author(s):  
Stanisław D. Głazek
Keyword(s):  
Renormalization Group ◽  
Quantum Dynamics ◽  
Broad Class ◽  
Hamiltonian Dynamics ◽  
Group Approach ◽  
Physical Problems ◽  
Minkowski Space Time ◽  
Renormalization Group Approach ◽  
Effective Theories ◽  
Dynamics Of Particles

Ken Wilson developed powerful renormalization group procedures for constructing effective theories and solving a broad class of difficult physical problems. His insights allowed him to later advance the Hamiltonian approach to quantum dynamics of particles and fields in the Minkowski space–time, motivated by QCD. The latter advances are described in this article, concluding with a remark on Ken's related interest in difficult systemic issues of society.

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