1. In the {li), j), Ik)} representation, the normalized basis vectors are chosen as li) = (1). 1) = (9). 1, and |k) = 0. Compute the outer products [i)(i], [jj], and [k)(k| in matrix form. Add the matrices to find the operator Î = i)(i]+[jj] + [k)(k] in this basis.
1. In the {li), j), Ik)} representation, the normalized basis vectors are chosen as li) = (1). 1) = (9). 1, and |k) = 0. Compute the outer products [i)(i], [jj], and [k)(k| in matrix form. Add the matrices to find the operator Î = i)(i]+[jj] + [k)(k] in this basis.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![1. In the {li), j), lk)} representation, the normalized basis vectors are chosen as li) =
(1.). - (1).
and
O
Ik) = 0. Compute the outer products li)(il, lj)jl, and lk)(k| in matrix form. Add the matrices to find
the operator Î = i)(i|+|jj| + |k)(k] in this basis.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1e598bbf-2d35-4afb-a9bb-7e240f86d153%2F58816251-115c-4013-9518-f318fa93277d%2Fp8hwi9q_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1. In the {li), j), lk)} representation, the normalized basis vectors are chosen as li) =
(1.). - (1).
and
O
Ik) = 0. Compute the outer products li)(il, lj)jl, and lk)(k| in matrix form. Add the matrices to find
the operator Î = i)(i|+|jj| + |k)(k] in this basis.
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