Solve the time independent schrodinger equation for a particle confined to a mobius strip.

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genius_generous answered 2 years ago

1. A particle satisfying the time-independent Schrodinger equation must have a) an eigenfunction that is normalized....

1. A particle satisfying the time-independent Schrodinger equation must have a) an eigenfunction that is normalized. b) a potential energy that is independent of location. c) a de Broglie wavelength that is independent of location d) a total energy that is independent of location. Correct answer is C but I need detailed explanation also explain each point why they are false

Consider a stationary solution of the Schrodinger Equation with positive energy E for a particle with...

Consider a stationary solution of the Schrodinger Equation with positive energy E for a particle with mass m in the following one-dimensional potential: V (x) = 0 for |x| > a and V (x) = −V0 for |x| ≤ a with V0 > 0. (a) Calculate the transmission and reflection probabilities. (b) Show that the transmission probability is unity for some values of the energy.

Suppose a solution to the time independent Schrodinger equation is multiplied by exp(-iEt/h-bar), thus making it...

Suppose a solution to the time independent Schrodinger equation is multiplied by exp(-iEt/h-bar), thus making it a solution to the time dependent Schrodinger equation. Will the product still be a solution to the time independent equation?

1. Write the Schrodinger equation for particle on a ring, and rearrange it until you have...

1. Write the Schrodinger equation for particle on a ring, and rearrange it until you have the following: ? 2? ??2 = − 2?? ℏ 2 ? … a) Assuming that ?? 2 = 2?? ℏ 2 , (where ml is a quantum number and has nothing to do with mass), show that the following is a solution for the Schrodinger equation you obtained: ?(?) = ? ? ????… b)Now think about bounds of variable ?. Using that argue that...

Calculation of half-life for alpha emission using time-independent Schrodinger Equation using the following following information: Radionuclide:...

Calculation of half-life for alpha emission using time-independent Schrodinger Equation using the following following information: Radionuclide: 241-Am (Z=95); Ea = 5.49 MeV; Measured Half-Life~432y Follow the steps involved and show your work for each subset question, not the final answer: (a) Evaluate the well radius [=separation distance (r) between the center of the alpha particle as it abuts the recoil nucleus]; (b) Evaluate the coulomb barrier potential energy (U) for the well; (c) Estimate the separation distance (r*) from the...

Find an expression for the Hamiltonian, the Green's Function in Electrodynamics and the time independent Schrodinger...

Find an expression for the Hamiltonian, the Green's Function in Electrodynamics and the time independent Schrodinger Equation. Derive a force equation from each one

1) a) Establish schrodinger equation,for a linear harmonic oscillator and solve it to obtain its eigen...

1) a) Establish schrodinger equation,for a linear harmonic oscillator and solve it to obtain its eigen values and eigen functions. b) calculate the probability of finding a simple harmonic oscillator within the classical limits if the oscillator in its normal state.

Compute the reduced homology groups of the Mobius strip. (Hint: use homotopy invariance)

Solve the schordingers equation for a particle in a rigid two-dimensional box.

(a) The one-dimensional time-independent Schrodinger equation is -(h-bar2/2m)(d2?(x)/dx2) + U(x)?(x) = E?(x) Give the meanings of...

(a) The one-dimensional time-independent Schrodinger equation is -(h-bar2/2m)(d2?(x)/dx2) + U(x)?(x) = E?(x) Give the meanings of the symbols in this equation. (b) A particle of mass m is contained in a one-dimensional box of width a. The potential energy U(x) is infinite at the walls of the box (x = 0 and x = a) and zero in between (0 < x < a). Solve the Schrodinger equation for this particle and hence show that the normalized solutions have the...

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