The Flow Equation Approach to Many-Particle Systems

By S. Kehrein. 2006

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The In-Medium Similarity Renormalization Group: A novel ab initio method for nuclei (2015, methodology): “When we work with a truncated, finite-dimensional Hilbert space, it is easy to show that [39, 64] d ds tr ( H(s) )2 = −2tr ( η(s)η(s) ) ≤ 0 (52) due to η(s)η(s) being positive semi-definite, so H(s) is increasingly suppressed and H(s) is indeed diagonalized.”
From low-momentum interactions to nuclear structure (2009, methodology): “(21) Applications to nuclear forces have used Gs = Trel [7], but one could also use momentum-diagonal operators such as Trel 2, or the running diagonal Hamiltonian HD, as advocated by Wegner [99] (see also Ref.”
Functional renormalization group approach to correlated fermion systems (2011, methodology): “The perturbative RG (Mitra et al., 2006; Rosch et al., 2001), Wilson’s numerical RG (Anders and Schiller, 2005), as well as Wegner’s flow equation approach (Kehrein, 2006) were extended to non-equilibrium, and real-time RG methods were developed (Schoeller, 2000, 2009; Schoeller and König, 2000).”
A Guided Tour of ab initio Nuclear Many-Body Theory (2020, unknown): “[56, 57, 1, 11, 53]).”