Page 1 of 1
• Problem 3: (1.5 points) Given  and Ể are Hermitian operators. What can you say about 1. AB 2. Âß + 3. [A, B] 4. i [A,
Posted: Tue Sep 07, 2021 7:23 am
by answerhappygod
- 1 (94.97 KiB) Viewed 79 times
• Problem 3: (1.5 points) Given  and Ể are Hermitian operators. What can you say about 1. AB 2. Âß + 3. [A, B] 4. i [A, B] ? Are these operators also Hermitian, anti-Hermitian, non of them, ...? • Problem 4: (1.5 points) It is assumed that you know (1) what a determinant is, (2) that det A* = det A (where t denotes the transpose), (3) that the determinant of a product of matrices is the product of the determinants. Proof, that the determinant of a unitary matrix is a complex number of unit modulus. • Problem 5: (2 points) Verify that the following matrices are unitary: (a) (:1) » (1+117) (1) Verify that the determinant is of the form ei in each case. Are any of the above matrices are Hermitian?