Quantum Time: Time as a Dynamical Variable
We will outline a formalism that treats time and space on equal footing as in special relativity. We will define an extended classical theory that treats time as a dynamical variable like the spacial coordinates. We will use canonical quantization to replace Poisson brackets with commutators and show how a generator of time translations can be defined using the commutation relationship in quantum mechanics. Using this new formalism, we will derive Schrtidingernulls equation, Ehrenfest theorem, the propagator and expectation values of time for a simple harmonic oscillator potential.
Franklin and Marshall College Archives, Undergraduate Honors Thesis 2010
- F&M Theses Collection