Renormalisation and fixed points in Hilbert Space

Abstract

The energies of low-lying bound states of a microscopic quantum many-body system of particles can be worked out in a reduced Hilbert space. We present here and test a specific non-perturbative truncation procedure. We also show that real exceptional points which may be present in the spectrum can be identified as fixed points of coupling constants in the truncation procedure.

4 pages, 1 table

References in corpus (7)

• Repulsion of Resonance States and Exceptional Points
• Low momentum nucleon-nucleon potential and shell model effective interactions
• Low momentum nucleon-nucleon potential and shell model effective interactions
• Asymptotic Freedom and Bound States in Hamiltonian Dynamics
• The Origin of Degeneracies and Crossings in the 1d Hubbard Model
• Rigged Hilbert Space Approach to the Schrodinger Equation
• Perturbative Effective Theory in an Oscillator Basis?

Cited by in corpus (3)

• Absorption in atomic wires
• Low energy properties of non-perturbative quantum systems: a space reduction approach
• Study of the spectral properties of spin ladders in different representations via a renormalization procedure