The exact solution of the Wegner flow equation with the Mielke generator for $3\times 3$ Hermitian matrices

Abstract

The exact solution of the Wegner flow equation with the Mielke generator for $3\times 3$ Hermitian matrices is presented. The general solutions for $N\times N$ tridiagonal Hermitian matrices and partially for $4\times 4$ real symmetric matrices are also given.

30 pages, 2 figures

References in corpus (6)

• Geometric Operator Quantum Speed Limit, Wegner Hamiltonian Flow and Operator Growth
• Generation of coherence in an exactly solvable nonlinear nanomechanical system
• Calculation of size for bound-state constituents
• Elementary example of exact effective-Hamiltonian computation
• Efficient flow equations for dissipative systems
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