Using , compute the dimensionless quantity at , , and . Say whether the results are…
PHYSICS · Subjective · Fermi University Physics · Mechanics & Dynamical Systems · Quantum Mechanics · Wave mechanics in one dimension
Quantum Mechanics: From the Photon to the Hydrogen Atom, Ch The harmonic oscillator
Problem
Using P(x)=1/πA2−x2, compute the dimensionless quantity P(x)⋅A at x/A=0, 0.5, 0.9 and 0.99. Say whether the results are consistent with the classical claim that the mass spends most of its time near the turning points, and explain in one sentence, using the relation between P(x) and the speed v(x), why P must grow without bound as x→A.