At one instant a particle is described by (x) = cases Ae^ -x/a & x>0 0 & x0 A$ real…

PHYSICS · Multi-part · Fermi University Physics · Quantum Mechanics · Wave mechanics in one dimension · Wave mechanics in one dimension

Quantum Mechanics: From the Photon to the Hydrogen Atom, Ch The Schrödinger equation and the Born rule

Problem

At one instant a particle is described by

\Psi(x) = \begin{cases}Ae^{-x/a} & x>0\\ 0 & x<0\end{cases}

for some length

a>0

, with

A

real and positive. ((a)) Find

A

. ((b)) Find the probability that the particle is found beyond

x=2a