Consider an operator A so that [Â, Â']= 1. (a) Evaluate the commutators [Â'Â, Â] and [Â' Â, Â1. (b) If the actions of A and A' on the states (| a)} are given by A | a) = Ja a- 1) and À' | a) = Va + T|a+ 1) and if (a' | a) = dda, calculate (a | Â | a + 1), (a + 1 | Â' | a) %3D and (a | A' A | a) and (a | AA' a).
Consider an operator A so that [Â, Â']= 1. (a) Evaluate the commutators [Â'Â, Â] and [Â' Â, Â1. (b) If the actions of A and A' on the states (| a)} are given by A | a) = Ja a- 1) and À' | a) = Va + T|a+ 1) and if (a' | a) = dda, calculate (a | Â | a + 1), (a + 1 | Â' | a) %3D and (a | A' A | a) and (a | AA' a).
Related questions
Question
![Consider an operator A so that [Â, Â']= 1
(a) Evaluate the commutators [A' Â, Â] and [A Â, ¨].
(b) If the actions of A and A' on the states {| a)) are given by A | a) = Ja| a– 1) and
Va +1|a+ 1) and if (a' | a) = dg'a calculate (a | Â | a + 1), (a +1 | A' | a)
%3D
| a)
and (a | Â' Â | a) and (a | AA' | a).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff4fc97da-1fd0-4209-b0ad-c5b4b3287183%2F77208335-b9d0-4313-9850-034c0bb5baeb%2Fcc1faap_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Consider an operator A so that [Â, Â']= 1
(a) Evaluate the commutators [A' Â, Â] and [A Â, ¨].
(b) If the actions of A and A' on the states {| a)) are given by A | a) = Ja| a– 1) and
Va +1|a+ 1) and if (a' | a) = dg'a calculate (a | Â | a + 1), (a +1 | A' | a)
%3D
| a)
and (a | Â' Â | a) and (a | AA' | a).
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
