A One-Dimensional Atom By substituting the wave function y(x) = Axe-bx into Eq. 7.2, show that a solution can be obtained only for b = 1/a, and find the ground-state energy. Orbital angular momentum Orbital magnetic quantum number Spatial quantization Angular momentum uncertainty relationship |L| = √√l(l+1)h 7.2 (7 = 0, 1, 2,...) L₁ = m₁h (m₁ = 0,±1,±2,..., ±7) cos 0 = L, |L| AL₂AQ ≥ h 7.2 mi = 7.2 √√(+1) 7.2

A One-Dimensional Atom By substituting the wave function y(x) = Axe-bx into Eq. 7.2, show that a solution can be obtained only for b = 1/a, and find the ground-state energy. Orbital angular momentum Orbital magnetic quantum number Spatial quantization Angular momentum uncertainty relationship |L| = √√l(l+1)h 7.2 (7 = 0, 1, 2,...) L₁ = m₁h (m₁ = 0,±1,±2,..., ±7) cos 0 = L, |L| AL₂AQ ≥ h 7.2 mi = 7.2 √√(+1) 7.2