Fixed-Point Hamiltonians in Quantum Mechanics

Details Fixed-Point Hamiltonians in Quantum Mechanics Fixed-Point Hamiltonians in Quantum Mechanics

2001-01-08

arxiv.org/abs/hep-ph/0101065v3

Physics

High Energy Physics

High Energy Physics - Phenomenology

11 pages, 1 figure

Scientific paper

We show how to derive fixed-point Hamiltonians in quantum mechanics from a proposed renormalization group invariance approach that relies in a subtraction procedure at a given energy scale. The scheme is valid for arbitrary interactions that originally contain point-like singularities (as the Dirac-delta and/or its derivatives). One example of diagonalization of a fixed-point Hamiltonian illustrates the procedure for an interaction that contains regular and singular parts. In another example, the fixed point Hamiltonian is derived for the case of higher order singularities in the interaction.

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