On the Convergence of the Perturbation Method.¶
Kato, T. (1949). On the Convergence of the Perturbation Method. Progress of Theoretical Physics, 4(4), 514-523.
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Primes¶
- Perturbation Theory
- Recognizing where perturbation theory is blind — instantons in Yang-Mills, solitons in field theory, BCS gap in superconductors (Kato
This sourceEarly rigorous mathematical analysis of perturbation-theory convergence. Extended in Perturbation Theory for Linear Operators (Springer, 1966), establishing the modern mathematical foundation for perturbative analysis; convergence theorems and asymptotic error bounds.
- Recognizing where perturbation theory is blind — instantons in Yang-Mills, solitons in field theory, BCS gap in superconductors (Kato
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