Calculate or for spherical potential well of radius b and depth Vo (for high energy particle insident upon apotential vo): use Born approximation.
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- When two galaxies collide, the stars do not generally run into eachother, but the gas clouds do collide, triggeering a burst of new star formation. a) Estimate the probability that our Sun would collide with another star in the Andromeda galaxy if a collision between the Milky Way and Andromeda occured. Assume that each galaxy has 100 billion stars exactly like the sun, spread evenly over a circular disk with a radius of 100,000 lightyears. (Hint: first calculate total area of 100 billion circles with the radius of the Sun and then compare that to total area to the area of the Galatic disk) b) Estimate the probability of a collision between a gas cloud in our galaxy and one in the Andromeda galaxy. Assume that each galaxy has 100,000 clouds of warm hydrogen gas, each with a radius of 300 lightyears, spread evenly over the same disk. Use the same method as part A.Calculate the probability that a particle in the first excited stated in a one-dimensional box oflength a is found between ?/4 and a.Sketch the probability distribution.P-8 Please help me with the below question clearly with step by step explanation, please. Note: The algebra for this problem can be a bit much -- at the very least set up the equations and state what the knowns and unknowns are.
- When two spiral galaxies collide, the stars generally do not run into each other, but the gas clouds do collide, triggering a burst of new star formation. (a) Estimate the probability that our Sun would collide with another star in the Andromeda Galaxy, if a collision between the Milky Way and Andromeda were happening at the present time. To simplify the problem, assume that each galaxy has 100 billion stars exactly like the Sun spread evenly over a circular disk with a radius of 100,000 light-years. (Hint: First calculate the total area of 100 billion circles with the radius of the Sun and then compare that total area to the area of the galactic disk.) (b) Estimate the probability that a gas cloud in our galaxy could collide with another gas cloud in the Andromeda Galaxy. To simplify the problem, assume that each galaxy contains 100,000 gas clouds of warm hydrogen gas, that each cloud has a radius of 300 light-years, and that these clouds are spread evenly over a circular disk with a…Find normalize: V1(x) = (i A1@/2m)xe-*.Example 1. Nnon interacting bosons are in an infinite potential well defined by V (x) = 0 for 0a.Find the ground state energy of !he system. What would be the ground statc energy if the particles are fermions. .
- hi... This question is about analytical mechanics. The question is displayed in the uploaded photo. In addition to the text of the question, find the particle location function.A system has N weakly interacting particles with energy levels- E0, 0, E0, where E0 is positive.(a) What is the single particle partition function ofthe system(b) What is the energy of the system as a function of temperature?(c) What is the energy at low temperatures?(d) what is the energy at hightemperatures? What does it mean?TO a1)Use istorder perturbation thaorystalanlate the the 'mth excited state for a overy f partiele mass m mouing in om infinite potantial well 7 lang th 2L, with wallo Vox) = ahich is modified at the bottom by eachef the o therwise two perturhations behow: Ca) Va) = Vo sin (Tx/2L){ Vo- const. ch) Vox) = Vo sc-LI こ
- A one-dimensional infinite potential well has a length of 2L. What are the energy eigenvalues? Calculate the ground state energy if ten protons are confined in the box. Assume that the protons don’t interact with each other. If the ten protons are replaced by ten neutral hydrogen atoms, what is the total ground state energy resulting from the confinement? Again, assume that the hydrogen atoms do not interact with each other. You can treat the mass of proton and hydrogen atom to be identical.A system has N weakly interacting identical particles. Each particle has 2 energy levels that are 0 and a. Using n; = Ae¯kB™ answer the following: a) Find A, and thus determine n;.The Yukawa potential adds an exponential term to the long-range Coulomb potential, which greatly shortens the range of the Coulomb potential. It has great usefulness in atomic and nuclear calculations. Voro .To = k еа r r V(r) e ro Find a particle's trajectory in a bound orbit of the Yukawa potential to first order inr/a.