[02160] Using quantum mechanics for calculation of different infinite sums
Session Time & Room : 2E (Aug.22, 17:40-19:20) @D405
Type : Contributed Talk
Abstract :
Certain class of infinite sums can be calculated analytically starting from a specific quantum mechanical problem. For simplicity we illustrate the method by exploring the problem of a particle in a box. Twofold calculation of the mean value of energy for the polynomial wave function inside the well yields even argument p of Riemann zeta and related functions. This method can be applied to a wide class of exactly solvable quantum mechanical problems.
