Fermi · Concept Library · Courses · Books · Problems · Simulations · Math Wiki · High School Fermi › Problems Introduction to Quantum Mechanics · Problem 4.3
Quantum Mechanics in Three Dimensions — David J. Griffiths
Physics — Quantum Mechanics · spherical_schrodinger_equation
Problem (a) Suppose ψ ( r , θ , ϕ ) = A e − r / a \psi(r, \theta, \phi) = Ae^{-r/a} ψ ( r , θ , ϕ ) = A e − r / a A A A a a a E E E V ( r ) V(r) V ( r ) V ( r ) → 0 V(r) \to 0 V ( r ) → 0 r → ∞ r \to \infty r → ∞ ψ ( r , θ , ϕ ) = A e − r 2 / a 2 \psi(r, \theta, \phi) = Ae^{-r^2/a^2} ψ ( r , θ , ϕ ) = A e − r 2 / a 2 V ( 0 ) = 0 V(0) = 0 V ( 0 ) = 0 Browse the problem library