Dirac Quantization of the Pais-Uhlenbeck Fourth Order Oscillator

Philip D. Mannheim, Aharon Davidson

As a model, the Pais-Uhlenbeck fourth order oscillator with equation of motion $d^{4}q/d{t}^4+({\omega }_1^2+{\omega }_2^2)d^{2}q/d{t}^2+{\omega }_1^2{\omega }_2^{2}q=0$ is a quantum-mechanical prototype of a field theor…