(d) Consider the arbitrary ket |u)=i-1 uli), where i) is an orthonormal basis. i. Show that u = (i|u) for all values of i. ii. Using this result, then prove that ➤₁ |i) (i = Î where I is the identity operator.

(d) Consider the arbitrary ket |u)=i-1 uli), where i) is an orthonormal basis. i. Show that u = (i|u) for all values of i. ii. Using this result, then prove that ➤₁ |i) (i = Î where I is the identity operator.

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter6: Some Methods In The Calculus Of Variations

Section: Chapter Questions

Problem 6.15P

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(d) Consider the arbitrary ket |u)=1 uli), where i) is an orthonormal basis.
i. Show that u = (iu) for all values of i.
ii. Using this result, then prove that
₁|i)(i = Î where I is the identity operator.

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