The functional integral with unconditional Wiener measure for anharmonic oscillator

DOI10.1063/1.3013803zbMath1159.81305arXiv0812.3517OpenAlexW2045254801MaRDI QIDQ3624649

Ján Boháčik, P. Prešnajder

Publication date: 30 April 2009

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

Full work available at URL: https://arxiv.org/abs/0812.3517

zbMATH Keywords

calculation of the unconditional Wiener measure functional integralgeneralized Gelfand--Yaglom differential equationrecurrence relations for the Wiener functional integral

Mathematics Subject Classification ID

Path integrals in quantum mechanics (81S40) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20)

Related Items (1)

Time-dependent propagator for an-harmonic oscillator with quartic term in potential

Cites Work

• Unnamed Item
• Numerical and asymptotic aspects of parabolic cylinder functions
• Uniform asymptotic expansions for Weber parabolic cylinder functions of large orders
• Integration in Functional Spaces and its Applications in Quantum Physics
• Parabolic Cylinder Functions: Examples of Error Bounds for Asymptotic Expansions
• EVOLUTION OF QUANTUM SYSTEMS WITH A SCALING TYPE TIME-DEPENDENT HAMILTONIANS

This page was built for publication: The functional integral with unconditional Wiener measure for anharmonic oscillator