Skip to main content

Science Advanced Physics

For a certain system, the operator corresponding to the quantity Aˆ does not commute with the Hamiltonian and also has eigenvalues a1, a2 and eigenfunctions respectively, where | u1⟩ and | u2⟩ are eigenfunctions of the Hamiltonian with eigenvalues E1 and E2. a) If at time t = 0 the system is in the state | φ1⟩, show that the expected value of Aˆ at time t is

For a certain system, the operator corresponding to the quantity Aˆ does not commute with the Hamiltonian and also has eigenvalues a1, a2 and eigenfunctions respectively, where | u1⟩ and | u2⟩ are eigenfunctions of the Hamiltonian with eigenvalues E1 and E2. a) If at time t = 0 the system is in the state | φ1⟩, show that the expected value of Aˆ at time t is

Related questions

Question

For a certain system, the operator corresponding to the quantity Aˆ does not commute with the Hamiltonian and also has eigenvalues a1, a2 and eigenfunctions respectively, where | u1⟩ and | u2⟩ are eigenfunctions of the Hamiltonian with eigenvalues E1 and E2. a) If at time t = 0 the system is in the state | φ1⟩, show that the expected value of Aˆ at time t is

a1 + a2
а1 — а2
Cos
E1 – E2
-
-t
2

|u1) + |u2).
V2
|u1) – |u2)
-
|ø1) :
|#2) =

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

bartleby

This is a popular solution

See solution Check out a sample Q&A here

Step 1

Step 2

bartleby

Trending nowThis is a popular solution!

bartleby

Step by stepSolved in 2 steps

Check out a sample Q&A here

Blurred answer

Knowledge Booster

Background pattern image

Similar questions