Tree expansion in time-dependent perturbation theory

DOI10.1063/1.3447733zbMath1311.81128arXiv0911.5217OpenAlexW3102466374MaRDI QIDQ5251802

Ângela Mestre, Frédéric Patras, Christian Brouder

Publication date: 21 May 2015

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0911.5217

Mathematics Subject Classification ID

Trees (05C05) Enumerative problems (combinatorial problems) in algebraic geometry (14N10) Feynman integrals and graphs; applications of algebraic topology and algebraic geometry (81Q30) Perturbation theories for operators and differential equations in quantum theory (81Q15)

Related Items

Matula numbers, Gödel numbering and Fock space ⋮ The Magnus expansion, trees and Knuth's rotation correspondence ⋮ Nonlocal, noncommutative diagrammatics and the linked cluster theorems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The algebra of binary search trees
• Tree quantum field theory
• A Galton-Watson estimate for Dyson series
• Gell-Mann and low formula for degenerate unperturbed states
• Permutations ayant une forme donnée
• Chains in the Bruhat order
• Hopf algebra of the planar binary trees
• The descent algebra of a graded bialgebra
• Differential graded bialgebras associated to permutohedra, associahedra and hypercubes
• Order structure on the algebra of permutations and of planar binary trees
• Perturbation theory for linear operators.
• Hopf algebras of permutahedra, associahedra and hypercubes
• Noncrossing partitions
• Hyperoctahedral Chen calculus for effective hamiltonians
• Derivation of the Brueckner many-body theory
• Quantum field theory meets Hopf algebra
• Reference Spectrum Method for Nuclear Matter
• The Bloch wave operator: generalizations and applications: II. The time-dependent case
• Quantum field theory and Hopf algebra cohomology
• The peak algebra and the descent algebras of types B and D
• Theory and Application of Plane Partitions: Part 1
• Perturbation Theory for Degenerate Problems of Many-Fermion Systems