Probability of Finding Particles
If a hydrogen atom is in the ground state, what is the probaility of finding the electron in a volume of 1.0 pm^3 at a distance of 52.9 pm from the nucleus, in a fixed but arbitrary direction? note: 1 pm = 10^-12 m
Calculation for finding probablility of electron in hydrogen atom
Calculate the probablility that the electron in the ground state of the hydrogen atom will be found outside the first bohr radius (a0).
Attempt to apply quantum mechanics to macroscopic objects
A small object of mass 1.00mg is confined to move between two rigid walls separated by 1.00cm (infinite square well approximation). a) Calculate the minimum speed of the object. b) If the speed of the object is 3.0cm/s, find the corresponding value of n (the quantum number).
This is problem 3.26 in Griffiths' Introduction to Quantum Mechanics (second editition): An anti-hermitian (or skew-hermitian) operator is equal to minus its hemitian conjugate: (a) Show that the expectation value of an anti-hermitian operator is imaginary. (b) Show that the commutator of two hermitian operators is anti ...continues
Velocity; Space; Direction etc ...
Please assist me with the attached questions. Thanks. Attached: 1) Galaxy A is found to be receding from us with a speed of 0.8c. Galaxy B I found to be receding from us with a speed of 0.4c. (a) What is our velocity as seen from galaxy A? (b) What is velocity of galaxy B as seen from galaxy A, if both are seen in the same ...continues
A satellite is at rest in space when destroyed by a hostile alien space ship. One piece that is 100 kg floats away at a speed of 0.80C. Another piece floats away with a speed of 0.90C away from the explosion in the opposite direction. What is the mass of the piece that flew away in traveling at 0.90C. Determine this two way ...continues
I would like to have someone show me step by step how to calculate the binding energy for deuterium and tritium.
This question comes from the second edition of Griffiths' Introduction to Quantum Mechanics. It is question 4.46
(a) Use this reursion formula:
c_j+1 = (2(j+l+1-n)*c_j)/((j+1)(j+2l+2))
to confirm that when l=n-1 the radial wave function takes the form
R_n,n-1 = (N_n)*r^(n-1)*e^(-r/(na))
(b) calculate
Perturbation of a negative potential time dependent problem
Hello, I am trying to calculate the probability that the n = 3 state will be excited at t = infinity for the case where b<<< a. and to show that for any value of b only the odd n states will be excited at t = infinity. my initial conditions and setup are: V(x,t) = Vinit(x) exp(-lambda times t) where I have a negative ...continues
Quantum Mechanics: Time Indep perturbation negative potential in an infinite sq well
Hi, This is a problem that I have got a solution for but would really like to have a second check to make sure that I have done it correctly. I have a negative potential, -V in the center of an inifinite square well. The well extends from -a to +a and the unperturbed wevefunctions are: Si sub n (x) = sq root ...continues
