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If Nq electrons are contained in the volume at absolute zero temperature, describe how you would count the number of states/orbitals in the system.
A particle is trapped in the infinite cubical volume of side L. Derive normalized wave functions and energies of the particle using the T.I.S.E.
Using the separation of variables technique, derive the time-independent Schrodinger equation (T.I.S.E.) in three dimensions.
State the time-dependent Schrodinger equation in three dimensions. State the meaning of all the terms in the equation.
radiation (e.g. Alpha, Beta, Gamma-ray, Neutron etc.) using his most sensitive Geiger Muller
counter. Can you believe his claim is correct? If yes, give a proper justification for his claim and
if no, then also prove that he is wrong
Consider a one-dimensional infinite square well with N particles. Given that all particles occupy the ground state, calculate the total energy of the system. Now assume that each energy level can hold no more than two particles. Calculate the energy of the ground state of the system and the maximum particle energy called the Fermi energy. Find an expression for the density of states for the infinite square well.
at constant temperature T using classical physics.Show how the classical theory is modified to correctly explain the energy density.
Like can they in theory, if a long enough period of time passed isnt it possible for, idk, a baseball to suddenly appear. I just want to know. If in theory quantum fluctuations can create matter from nothing and the matter staying in exsistance. Sorry if this question was worded a bit weird.
count on scattering amplitude. As an application consider a sphere of radius r, assuming a certain
potential V such that it is infinite inside the sphere and minimum outside the sphere. Calculate phase
shifts for this sphere.
