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Path integral solution of the Dirichlet problem

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Publication:1269377
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zbMath0939.58013MaRDI QIDQ1269377

J. Lachapelle

Publication date: 12 September 1999

Published in: Annals of Physics (Search for Journal in Brave)


zbMATH Keywords

Dirichlet problemSchrödinger equationtransition amplitudestochastic approachfunctional integration


Mathematics Subject Classification ID

Path integrals in quantum mechanics (81S40) Schrödinger operator, Schrödinger equation (35J10) Applications of manifolds of mappings to the sciences (58D30) Diffusion processes and stochastic analysis on manifolds (58J65) Applications of functional analysis in quantum physics (46N50)


Related Items (3)

Path integral solution of linear second order partial differential equations. I: The general construction ⋮ Path integral solution of linear second order partial differential equations. II: Elliptic, parabolic, and hyperbolic cases ⋮ Uniform high-frequency approximations of the square root Helmholtz operator symbol



Cites Work

  • Unnamed Item
  • Path integration in phase space
  • Functional Integration and Partial Differential Equations. (AM-109)
  • A new perspective on functional integration
  • Hamiltonian Path-Integral Methods


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