Sakurai Modern Quantum Mechanics (Second Edition) Eq. 1.7.15

  • #1
classy cal
7
0

Homework Statement


Reading Sakurai I cannot see how he gets to the end of 1.7.15 as below:

Homework Equations


dx'|x'><x'-dx' |α>
= ∫dx'|x'>{<x' |α>-Δx'∂/∂x'<x' |α>}

The Attempt at a Solution


I tried a Taylor expansion but cannot see how this is derived.
 

Answers and Replies

  • #2
blue_leaf77
Science Advisor
Homework Helper
2,637
785
That's indeed a Taylor expansion, truncated up to the first order. The author wants to express the shifted position eigenket as in terms of infinitesimal change.
 
  • #3
classy cal
7
0
Thank you for your reply, it has helped me understand manipulation of bra-kets.
 

Suggested for: Sakurai Modern Quantum Mechanics (Second Edition) Eq. 1.7.15

Replies
22
Views
632
Replies
9
Views
430
  • Last Post
Replies
4
Views
277
Replies
1
Views
137
Replies
3
Views
250
Replies
3
Views
360
Replies
8
Views
402
Replies
12
Views
413
  • Last Post
Replies
2
Views
321
  • Last Post
Replies
6
Views
396
Top