In this problem we consider a standard harmonic oscillator with hamiltonian н the energy levels given by en hw(n and the 2m eigenstates denoted by n) 11 pts] assume first that the system is in the state |2). what is the probability distribution of the coordinate of the system? to calculate this use а. the wave function of the first excited state given by 2mw тw mw b(x) 2h -те and creation operators. sketch the shape of the probability distribution b. [11 ptsl assume the system is in the ground state |0).what is the proba- bility distribution of the momentum? you can either use the wave function in coordinate representation derived in class or write the creation and annihila- tion operators in momentum representation (ie. express the coordinate operator derivative of momentum such that the canonical commutation relation is as a satisfied) and then solve a first order differential equation for the momentum representation of the wave function 12) 13 pts assume now that the system is in the state will be the state of the system at a later time t? what is the expectation value of 2 at time t = t/w? what c.
Answers: 2
Physics, 22.06.2019 04:30
You are traveling in a car going at a constant speed of 100km/h down a long, straight highway. you pass another car going in the same direction which is traveling at a constant speed of 80km/h. as measured from your car's reference frame this other car is traveling at −20km/h. what is the acceleration of your car as measured from the other car's reference frame? what is the acceleration of the other car as measured from your car's reference frame?
Answers: 2
Physics, 22.06.2019 12:30
Cathy is pedaling down a steep hill on her bicycle and wants to be able to coast up the next hill, which is 25 meters high, without pedaling. cathy and her bicycle have a mass of 75 kg. assuming her bicycle is 100% efficient, what would her speed have to be?
Answers: 3
Physics, 22.06.2019 13:10
1. the materials manager for a billiard ball maker must periodically place orders for resin, one of the raw materials used in producing billiard balls. she knows that manufacturing uses resin at a rate of 50 kilograms each day, and that it costs $.04 per day to carry a kilogram of resin in inventory. she also knows that the order costs for resin are $100 per order, and that the lead time for delivery is four (4) days.2. at what point should resin be reordered? a. 0 kilograms remainingb. 50 kilograms remainingc. 200 kilograms remainingd. 400 kilograms remaininge. 500 kilograms remaining3. if order size was 1,000 kilograms of resin, what would be the length of an order cycle? a. 0.05 daysb. 4 daysc. 16 daysd. 20 dayse. 50 days4. if the order size was 1,000 kilograms of resin, what would be the average inventory level? a. 50 kilogramsb. 200 kilogramsc. 500 kilogramsd. 800 kilogramse. 1,000 kilograms5. if the order size was 1,000 kilograms of resin, what would be the daily total inventory costs, excluding the cost of the resin? a. $5b. $10c. $20d. $25e. $40
Answers: 3
In this problem we consider a standard harmonic oscillator with hamiltonian н the energy levels give...
Mathematics, 19.06.2020 03:57
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