Acyclic finite quantum systems make the Born-Neumann series collapse to an exact finite sum via nilpotency of T = G0(E)V, giving closed-form amplitudes such as A4 = t42 t21 + t43 t31 for diamond graphs where first-order Born fails.
Weinberg, Systematic Solution of Multiparticle Scattering Problems , Physical Review 133(1B) (1964), B232–B256
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
quant-ph 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
Exact Nilpotent Collapse of Born-Neumann Expansions in Finite Quantum Systems: A SON Formulation for Exact Algebraic Closures of Scattering Series
Acyclic finite quantum systems make the Born-Neumann series collapse to an exact finite sum via nilpotency of T = G0(E)V, giving closed-form amplitudes such as A4 = t42 t21 + t43 t31 for diamond graphs where first-order Born fails.