대한수학회지 (Journal of the Korean Mathematical Society)

  • 제38권2호
  • /
  • Pages.337-348
  • /
  • 2001
  • /
  • 0304-9914(pISSN)
  • /
  • 2234-3008(eISSN)
대한수학회 (Korean Mathematical Society)
권호 표지

NORM CONVERGENCE OF THE LIE-TROTTER-KATO PRODUCT FORMULA AND IMAGINARY-TIME PATH INTEGRAL

  • 발행 : 2001.03.01
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초록

The unitary Lie-Trotter-Kato product formula gives in a simplest way a meaning to the Feynman path integral for the Schroding-er equation. In this note we want to survey some of recent results on the norm convergence of the selfadjoint Lie-Trotter Kato product formula for the Schrodinger operator -1/2Δ + V(x) and for the sum of two selfadjoint operators A and B. As one of the applications, a remark is mentioned about an approximation therewith to the fundamental solution for the imaginary-time Schrodinger equation.

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참고문헌

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