A basis- and integral-free representation of time-dependent perturbation theory via the omega matrix calculus
DOI10.4171/AIHPD/173MaRDI QIDQ6489754
Publication date: 22 April 2024
Published in: Annales de l'Institut Henri Poincaré D. Combinatorics, Physics and their Interactions (Search for Journal in Brave)
divided differencesDyson seriesbasis-freetime-dependent perturbationintegral-freeOmega matrix calculusPutzer's representation
Exact enumeration problems, generating functions (05A15) Factorials, binomial coefficients, combinatorial functions (05A10) Perturbation theories for operators and differential equations in quantum theory (81Q15) Matrix exponential and similar functions of matrices (15A16)
Cites Work
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- A Galton-Watson estimate for Dyson series
- Gell-Mann and low formula for degenerate unperturbed states
- More explicit formulas for the matrix exponential
- A general algorithm for the MacMahon Omega operator
- MacMahon's partition analysis. VI: A new reduction algorithm
- Time-ordering and a generalized Magnus expansion
- An approach to isotropic tensor functions and their derivatives via omega matrix calculus
- From time-ordered products to Magnus expansion
- Evaluating Matrix Functions by Resummations on Graphs: The Method of Path-Sums
- Linear Algebra Done Right
- Decomposition of time-ordered products and path-ordered exponentials
- Green's Functions and Ordered Exponentials
- Matrix Analysis and Omega Calculus
- Tree expansion in time-dependent perturbation theory
- An exact formulation of the time-ordered exponential using path-sums
- Functions of Matrices
- Fibonacci-Horner decomposition of the matrix exponential and the fundamental system of solutions
- Avoiding the Jordan Canonical Form in the Discussion of Linear Systems with Constant Coefficients
- The Radiation Theories of Tomonaga, Schwinger, and Feynman
- Bound States in Quantum Field Theory
- Matrix computations with the Omega calculus
- Linear recurrence relations in the algebra of matrices and applications
- MacMahon's partition analysis: The Omega package
- Calculating the divided differences of the exponential function by addition and removal of inputs
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