Show that the normalization of wave function does not change with time, using time dependent Schroedinger...

Show that the normalization of wave function does not change with time, using time dependent Schroedinger equation.

Calculate the rate of change of x using Schroedinger's equation.

Expert Solution

genius_generous answered 1 year ago

Using identities for time derivatives and del operators, show that the solution of the inhomogeneous wave...

Using identities for time derivatives and del operators, show that the solution of the inhomogeneous wave equation for the potential V given by the Lorentz gauge (the expression containing an integral over volume), does indeed satisfy the inhomogeneous wave equation.

Derive expressions for (i) Schroedinger time dependent and (ii) Schroedinger time independent wave equations?

Time Scaling on Oscilloscope and function generator to triangular wave

1).a) Show that the bound state wave function ψb (Eqn 2.129) and the continuum state wave...

1).a) Show that the bound state wave function ψb (Eqn 2.129) and the continuum state wave function ψk (Eqn 2.131-132 with coefficients 2.136-137) are orthogonal, i.e., 〈ψb|ψk〉 = 0. (b) [bonus] Explain why the orthogonality exists, example as, are they eigenstates of an operator? If so, what is the operator? If not explain.

Derive and find the limiting cases of the Lindhard dielectric function (frequency and wave-vector dependent) for...

Derive and find the limiting cases of the Lindhard dielectric function (frequency and wave-vector dependent) for a homogeneous electron gas.

(2) Please show that a discontinuity arises in the first derivative of the wave function of...

(2) Please show that a discontinuity arises in the first derivative of the wave function of the infinite potential well (0 to L).

Show how the wave function of the even states of a particle in an infinite well...

Show how the wave function of the even states of a particle in an infinite well extending from x=-L/2 to x=L/2 evolve in time. Details!

Show that the bound state wave function of the δ function's well is well orthogonal to...

Show that the bound state wave function of the δ function's well is well orthogonal to all scattering state wave functions.

Using the method of jones calculus show that the effect of a half wave plate on...

Using the method of jones calculus show that the effect of a half wave plate on a circularly polarised state is to turn it into another circular state of the opposite handedness

Prove that even number of fermions produces boson using wave function.

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