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Research Article

ScienceAsia 21 (1995): 253-269 |doi: 10.2306/scienceasia1513-1874.1995.21.253

 

THE PROPAGATOR CORRESPONDING TO A MODEL QUADRATIC ACTION

 

J. POULTER AND W. TRIAMPO

ABSTRACT: In this paper we give a complete expression for the one-particle propagator corresponding to an action containing a series of any number of non-local harmonic oscillators, a local harmonic oscillator and a term due to an arbitrary driving force. We also outline how the diagonal matrix elements may be applied in variational calculations concerning two interacting particles in a field.

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Department of Mathematics, Faculty of Science, Mahidol University, Rama 6 Road Bangkok 10400, Thailand.

Received May 23, 1995