Physics - Modern Physics - Quantum Mechanics - Wave functions and probability - Wave Function Problems

6 problems. P1: 'A particle has ψ(x) = A for 0<x<L, and 0 elsewhere. Normalization: ∫₀ᴸ |A|²dx = 1 → A = ___' (1/√L). P2: 'Probability of finding it between 0 and L/3: P = ∫₀^(L/3) |1/√L|²dx = ___' (1/3). P3: 'For particle in box ψ₁ = √(2/L)sin(πx/L): probability of finding particle in middle third