a- Construct the 2-dimensional matrix A that representing the effect of operator Â on the orthonormal vectors | 4) and | ) by the following action: Âl 4)=il and Al =-il4) b- Let B is an operator that can representing by matrix , B=A. Find the matrix B.

a- Construct the 2-dimensional matrix A that representing the effect of operator Â on the orthonormal vectors | 4) and | ) by the following action: Âl 4)=il and Al =-il4) 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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H.W.6
a- Construct the 2-dimensional matrix A that representing the effect of operator Â on the
orthonormal vectors | 4) and ) by the following action:
Âl ¢)=il ) and Âl 4)=-il4)
b- Let B is an operator that can representing by matrix, B=A.
Find the matrix B.

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