a- Construct the 2-dimensional matrix A that representing the effect of operator  on the orthonormal vectors | 4) and | ) by the following action: Â| 4)=il ¢) and Âl 4)=-il 4) b- Let B is an operator that can representing by matrix, B-A. Find the matrix B.

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter1: Matrices, Vectors, And Vector Calculus
Section: Chapter Questions
Problem 1.5P
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a- Construct the 2-dimensional matrix A that representing the effect of operator  on the
orthonormal vectors | 4) and I ) by the following action:
Â| 4)=il 4) and Âl 4) =-il 4)
b- Let B is an operator that can representing by matrix , B=A.
Find the matrix B.
Transcribed Image Text:a- Construct the 2-dimensional matrix A that representing the effect of operator  on the orthonormal vectors | 4) and I ) by the following action: Â| 4)=il 4) and Âl 4) =-il 4) b- Let B is an operator that can representing by matrix , B=A. Find the matrix B.
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