Consider a one-dimensional harmonic oscillator a. Using the raising and lowering operators introduced in class, calculate (mlx|n),(m|p|n), (m|{x, p}|n) (ma2n), and (m |p2|n) b. The virial theorem in quantum mechanics says (in one dimension) that the expectation of twice the kinetic energy operator, p2/2m, of a particle is equal to the expectation value (r,where V is the potential energy operator. Show this is true for the harmonic oscillator, when the expectation is taken with respect to any energy eigenket. In this special case, it also demonstrates the expected equal division between kinetic and potential energy
Consider a one-dimensional harmonic oscillator a. Using the raising and lowering operators introduced in class, calculate (mlx|n),(m|p|n), (m|{x, p}|n) (ma2n), and (m |p2|n) b. The virial theorem in quantum mechanics says (in one dimension) that the expectation of twice the kinetic energy operator, p2/2m, of a particle is equal to the expectation value (r,where V is the potential energy operator. Show this is true for the harmonic oscillator, when the expectation is taken with respect to any energy eigenket. In this special case, it also demonstrates the expected equal division between kinetic and potential energy
Related questions
Question
It's a
Expert Solution
Trending now
This is a popular solution!
Step by step
Solved in 9 steps with 9 images
Expert Answers to Latest Homework Questions
Q: identify 5 risk management tools that can be used to make management decisions
Q: I want to research desertification from 2020 to the present
Q: The answer is 12μF
Q: The answer is 12μF, please help, thank you so much
Q: Determine Whether series converge or diverge if it converge what is the limit.
$\{ \frac…
Q: Describe enlargement on map grid
Q: I need answer typing clear urjent no chatgpt used pls i will give 5 Upvotes.with diagram
Q: Financial accounting
Q: Hii ticher please given correct answer general accounting
Q: ?? Financial accounting
Q: Do fast this question answer general Accounting
Q: Ans?? General Accounting
Q: Want to this question answer general Accounting
Q: General Accounting
Q: Hello tutor please given correct answer general accounting
Q: Provide correct answer general accounting
Q: Go to Wireshark.org and download Wireshark for Mac OS (or Windows OS if you are
using Windows), then…
Q: Please help me with this question general Accounting
Q: Answer? ? Financial accounting
Q: I need answer typing clear urjent no chatgpt used pls i will give 5 Upvotes.
Q: What will be recorded? Solve question financial accounting