대한수학회지 (Journal of the Korean Mathematical Society)

  • 제38권2호
  • /
  • Pages.469-483
  • /
  • 2001
  • /
  • 0304-9914(pISSN)
  • /
  • 2234-3008(eISSN)
대한수학회 (Korean Mathematical Society)
권호 표지

STOCHASTIC MEHLER KERNELS VIA OSCILLATORY PATH INTEGRALS

  • 발행 : 2001.03.01
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초록

The configuration space and phase space oscillatory path integrals are computed in the case of the stochastic Schrodinger equation for the harmonic oscillator with a stochastic term of the form (K$\psi$(sub)t)(x) o dW(sub)t, where K is either the position operator or the momentum operator, and W(sub)t is the Wiener process. In this way formulae are derived for the stochastic analogues of the Mehler kernel.

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참고문헌

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