I need help with question 5 part a and b. I5. Suppose that a wavefunction is given by.0t<0v(x,t) = { expli(ka - (En-iT/2)t/h)] +20where ER and I >0 are parameters.(a) What is y(x, t) |2 for t≥ 0? Note that this wavefunction could representthat of state (or particle) produced at time t = 0 which decays with amean lifetime of T = ħ/T.(b) This wavefunction can be transformed the the energy domain via a FourierTransform:Þ(x, E) =1-∞(x, t) expli(Et/h)] dt.What is P(x, E) ?(c) What is P(x, E)|2 ? Plot it. The parameter I is called the Full Widthat Half Maximum (FWHM). Does this make sense? Note that I'r = ħ isa particular case of the uncertainty principle that is an exact relation. Itholds for states which decay according the exponential decay law (which isoften the case, due to decay rates being constant). It implies that unstablestates (or particles) necessarily have a finite energy width.Q Search

Answered: Image /qna-images/answer/a0cce130-c22b-4ca0-9888-a2e7c812a401.jpg

I 5. Suppose that a wavefunction is given by. 0 v (e,t) = { = { t < 0 expli(kx- (ER- iT/2)t/h)] t≥0' where ER and I> 0 are parameters. (a) What is y(x, t)|2 for t≥ 0? Note that this wavefunction could represent that of state (or particle) produced at time t = 0 which decays with a mean lifetime of T = ħ/T. (b) This wavefunction can be transformed the the energy domain via a Fourier Transform: Þ(x, E) = What is Þ(x, E) ? 1 √2V(x, t) expli(Et/h)] dt. 2π

I 5. Suppose that a wavefunction is given by. 0 v (e,t) = { = { t < 0 expli(kx- (ER- iT/2)t/h)] t≥0' where ER and I> 0 are parameters. (a) What is y(x, t)|2 for t≥ 0? Note that this wavefunction could represent that of state (or particle) produced at time t = 0 which decays with a mean lifetime of T = ħ/T. (b) This wavefunction can be transformed the the energy domain via a Fourier Transform: Þ(x, E) = What is Þ(x, E) ? 1 √2V(x, t) expli(Et/h)] dt. 2π

Similar questions

An object of mass m travels along the parabola y = x2 with a constant speed of 10 units/ sec. What is the force on the object due to its acceleration at (0, 0)? at (2^1/2, 2)? Write your answers in terms of i and j. (Remember Newton’s law, F = ma.)
I walk eight miles in a straight line in a direction north of east, and I end up 5 miles north and several miles east. How many degrees north of east have I walked?
Jack goes for a ride on a ferris wheel that has a radius of 37 meters. The center of the ferris wheel is 49 meters above the ground. He starts his ride at the 12 o'clock position and travels counter clockwise. Define a function g that represents Jack's horizontal distance in meters relative to vertical midline of the wheel in terms of the angle (measured in radians) Jack makes with the center.
A treasure map directs you to start at a palm tree and walk due north for 15.0 m. You are then to turn 90∘ and walk 22.0 m; then turn 90∘ again and walk 5.00 m. Give the distance from the palm tree, and the direction relative to north, for each of the four possible locations of the treasure.
The planet Jupiter rotates every 9.9 hours and has a diameter of 88 846 miles. If you’re standing on its equator, how fast are you traveling
A commuter airplane starts from an airport and takes the route shown in the figure below. The plane first flies to city A, located 175 km away in a direction 30.0° north of east. Next, it flies for 150 km 20.0° west of north, to city B. Finally, the plane flies 190 km due west, to city C. Find the location of city C relative to the location of the starting point. Looking for: distance in km, angle in degrees west of north.
One day Timmy was shopping at Trader Joe's. As he gets in line he sees Godzilla near the front of a line. Timmy does not think Godzilla is really in line yet because he is too far away from the cashier, so Timmy gets in line in front of Godzilla. Turns out, Timmy was mistaken. (The direction Timmy moves is considered to be positive! The ground is a horizontal surface.) Godzilla puts Timmy on the ground and then kicks him out of the store. How many forces act on Timmy as he slides on the ground and out of the store? 4 0 1 Unable to be determined from the given information 2 3
A twin-engined aircraft can fly 1360 miles from city A to city B in 5 hours with the wind and make the return trip in 8 hours against the wind. What is the speed of the wind
We will use differential equations to model the orbits and locations of Earth, Mars, and the spacecraft using Newton’s two laws mentioned above. Newton’s second law of motion in vector form is: F^→=ma^→ (1) where F^→ is the force vector in N (Newtons), and a^→ is the acceleration vector in m/s^2,and m is the mass in kg. Newton’s law of gravitation in vector form is: F^→=GMm/lr^→l*r^→/lr^→l where G=6.67x10^-11 m^3/s^2*kg is the universal gravitational constant, M is the mass of the larger object (the Sun), and is 2x10^30 kg, and m is the mass the smaller one (the planets or the spacecraft). The vector r^→ is the vector connecting the Sun to the orbiting objects. Step one ) The motion force in Equation(1), and the gravitational force in Equation(2) are equal. Equate the right hand sides of equations (1) and (2), and cancel the common factor on the left and right sides. Answer: f^→=ma^→ f=Gmm/lr^→l^2 a^→=Gmm/lr^→l^2 x r^→/lr^→l r^→=r^→/lr^→l * Gmm Could you please…
Asteroid Toutatis passed near Earth in 2006 at four times the distance to our Moon. This was the closest approach we will have until 2060. If it has mass of 4.1 x 1013 kg, what force did it exert on Earth at its closest approach? Use 384400 km for the distance between the earth and the moon, and 5.972 1024 kg for the mass of the earth. Help on how to format answers: units F =
Needs Complete typed solution with 100 % accuracy.
The planet Jupiter has a mass of 1.9 × 1027 kg and a radius of 72,000 km. The Earth, meanwhile, has a mass of 6.0 × 1024 kg and a radius of 6,400 km. What is the volume of Jupiter in m3? Show calculati