Homework Help is Here – Start Your Trial Now!
Science
Advanced Physics
d² Let  = Consider the orthonormal basis: dx² | 1) = $1(x) = √√sin (x) and 2 [2) = ₂(x) = sin (2x). (a) Find Â1) and Â12). The operator A can be expressed in a matrix form as follows:

d² Let  = Consider the orthonormal basis: dx² | 1) = $1(x) = √√sin (x) and 2 [2) = ₂(x) = sin (2x). (a) Find Â1) and Â12). The operator A can be expressed in a matrix form as follows:

icon
Related questions
Question
d² Let  = Consider the orthonormal basis: dx² |1) = ₁(x) = [2) = ₂(x) = √sin(x) L 2π sin and (a) Find Â1) and Â12). The operator  can be expressed in a matrix form as follows:  = a₁1)(1| + a₁21)(2 + a21 2)(1| + a2212X<21. (b) Use part (a) to compute: amn= (m|Â\n); m, n = 1,2.
Transcribed Image Text:d² Let  = Consider the orthonormal basis: dx² |1) = ₁(x) = [2) = ₂(x) = √sin(x) L 2π sin and (a) Find Â1) and Â12). The operator  can be expressed in a matrix form as follows:  = a₁1)(1| + a₁21)(2 + a21 2)(1| + a2212X<21. (b) Use part (a) to compute: amn= (m|Â\n); m, n = 1,2.
Expert Solution
steps

Step by step

Solved in 2 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer