Quantization of Higher Order Regular Lagrangians as First Order Singular Lagrangians Using Path Integral Approach

Abstract

In this paper, systems with higher order regular Lagrangians are reduced into equivalent systems with first order singularLagrangians using auxiliary degrees of freedom. Thus, the new reduced systems are quantized using the canonical path integral approach.

Keywords: Path integral; Quantization; Higher-order lagrangians; Singular systems.