Quantum-mechanical Tunneling: Differential Operators, Zeta-functions and Determinants
Quantum-mechanical Tunneling: Differential Operators, Zeta-functions and Determinants
We consider in detail the quantum-mechanical problem associated with the motion of a one-dimensional particle under the action of the double-well potential. Our main tool will be the euclidean (imaginary time) version of the path-integral method. Once we perform the substitution t → —iτ, known in the literature as the …