- Please Solve All The Sub Questions 1 (124.34 KiB) Viewed 115 times
Please solve all the sub questions
-
answerhappygod
- Site Admin
- Posts: 899603
- Joined: Mon Aug 02, 2021 8:13 am
Please solve all the sub questions
Please solve all the sub questions
2. The state of a quantum particle in one dimension is represented by the wave function SA(a² – x²), 4(x) = 0, if -a≤x≤a otherwise (1) (a) Determine the constant A from the normalisation condition. (b) Calculate the expectation values of the position observables x and x², as well as those of the momentum observables p and p². (c) Check that Heisenberg's uncertainty principle holds. What would happen to the momentum uncertainty of a more localised particle where the size a is reduced by a factor of 2?
2. The state of a quantum particle in one dimension is represented by the wave function SA(a² – x²), 4(x) = 0, if -a≤x≤a otherwise (1) (a) Determine the constant A from the normalisation condition. (b) Calculate the expectation values of the position observables x and x², as well as those of the momentum observables p and p². (c) Check that Heisenberg's uncertainty principle holds. What would happen to the momentum uncertainty of a more localised particle where the size a is reduced by a factor of 2?