Homework Help is Here – Start Your Trial Now!
Science
Advanced Physics
503 (b) Do these eigenvectors form a basis (i.e., is this basis complete and orthonormal)? (c) Consider the matrix U which is formed from the normalized eigenvectors of A. Verify that U is unitary and that it satisfies 0 UT AU = (2/2). 0

503 (b) Do these eigenvectors form a basis (i.e., is this basis complete and orthonormal)? (c) Consider the matrix U which is formed from the normalized eigenvectors of A. Verify that U is unitary and that it satisfies 0 UT AU = (2/2). 0

icon
Related questions
Question
‏صورة من احمد مرتضى
Exercise 2.19 Consider the matrix A-( 96 ) = (a) Find the eigenvalues and the normalized eigenvectors for the matrix A. CHAPTER 2. MATHEMATICAL TOOLS OF QUANTUM MECHANICS (b) Do these eigenvectors form a basis (i.e., is this basis complete and orthonormal)? (c) Consider the matrix U which is formed from the normalized eigenvectors of A. Verify that U is unitary and that it satisfies 158 0 -(%). 0 UT AU = where 1 and 2 are the eigenvalues of A. (d) Show that ex = cosh x 4 sinh x.
Transcribed Image Text:Exercise 2.19 Consider the matrix A-( 96 ) = (a) Find the eigenvalues and the normalized eigenvectors for the matrix A. CHAPTER 2. MATHEMATICAL TOOLS OF QUANTUM MECHANICS (b) Do these eigenvectors form a basis (i.e., is this basis complete and orthonormal)? (c) Consider the matrix U which is formed from the normalized eigenvectors of A. Verify that U is unitary and that it satisfies 158 0 -(%). 0 UT AU = where 1 and 2 are the eigenvalues of A. (d) Show that ex = cosh x 4 sinh x.
Expert Solution
steps

Step by step

Solved in 4 steps with 3 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer