Operators: Time-evolution Consider the Hamiltonian of a free-particle of charge q and mass m in an external electric field E in one-dimension: 1 Ĥ = -p² – qxE 2m' Using the general operator equation of motion, solve for the time-dependence of the position and momentum operators in terms of their initial values at time t = 0.
Operators: Time-evolution Consider the Hamiltonian of a free-particle of charge q and mass m in an external electric field E in one-dimension: 1 Ĥ = -p² – qxE 2m' Using the general operator equation of motion, solve for the time-dependence of the position and momentum operators in terms of their initial values at time t = 0.
Related questions
Question
Need full detailed answer for all questions as well as detailed steps. Need to understand the concept and question.
Transcribed Image Text:Operators: Time-evolution
Consider the Hamiltonian of a free-particle of charge q and mass
m in an external electric field E in one-dimension:
1
H = mộ? - qxE
2m'
Using the general operator equation of motion, solve for the
time-dependence of the position and momentum operators in
terms of their initial values at time t = 0.
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
