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.

Type

Journal article

Intellectual base

Primary research

Year

1949

Volume

4

Issue

4

Pages

514-523

Link

https://doi.org/10.1143/ptp/4.4.514matched

Cited from

physics

Cited by

1 citation across 1 artifact.

Each citation links to the sentence it supports in the citing article.

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.

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