This preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: H = 1 2 m p 2 + 1 2 mω 2 x 2 . a) Show that the function φ = Aeαx 2 is an eigenfunction of H for a particular α . What must α be? What are its units? b) What is the eigenvalue of H that corresponds to φ ? c) Show that xφ is also an eigenfunction of H . What is its eigenvalue? d) Compute Δ x and Δ p for the state in c). Compare the Δ x Δ p product with that of φ . (Hint: Note that some of the same integrals appear multiple times here. Also, be careful about normalization.)...
View
Full
Document
 Spring '09
 Work

Click to edit the document details