Integrali di Cammino alla Feynman Complessificati in Meccanica Quantistica con il Metodo del Punto a Sella

The path integral is a common tool used to study a great variety of systems, in this thesis I study path integrals using the steepest descent method by complexifying the paths on which the action is calculated. Using this tools, many correlation between classical and quantum systems will be presented. I will analyze some already known problems such as the free particle and the simple harmonic oscillator, then I will develop a study of the double well potential, first by classifying the real (and complex) classical solutions, then by offering a method to study the quantum evolution of the system. ​