Physics 115A Fourth Problem Set: Identity Operator and Matrix Representations, Assignments of French Language

Download Physics 115A Fourth Problem Set: Identity Operator and Matrix Representations and more Assignments French Language in PDF only on Docsity! Physics 115A Fourth Problem Set Harry Nelson Office Hour Tu 1:30-2:30pm TA: Antonio Boveia Office Hours M 9-10am, Fr 1-3pm PLC Grader: Victor Soto Office Hours Th 11:00-12:30pm PLC due Monday, February 3, 2003 1. Is the matrix that represents the identity operator independent of basis used to make the representation? Suppose the n eigenvalues of a linear operator in an n-dimensional space are all equal to one another (‘totally degenerate’). Does the matrix representation of that operator depend upon the basis? 2. Exercise 1.8.2, page 41 of your text. 3. Exercise 1.8.3, page 41 of your text. 4. Exercise 1.8.5, page 42 of your text. 5. Exercise 1.8.10, page 46 of your text. 1