A particle in a 3-dimensional infinite square-well potential has ground-state energy 4.3 eV. Calculate the energies...

A particle in a 3-dimensional infinite square-well potential has ground-state energy 4.3 eV. Calculate the energies of the next two levels. Also indicate the degeneracy of the levels.

Expert Solution

genius_generous answered 2 years ago

A particle in an infinite one-dimensional square well is in the ground state with an energy...

A particle in an infinite one-dimensional square well is in the ground state with an energy of 2.23 eV. a) If the particle is an electron, what is the size of the box? b) How much energy must be added to the particle to reach the 3rd excited state (n = 4)? c) If the particle is a proton, what is the size of the box? d) For a proton, how does your answer b) change?

An electron is in the ground state of an infinite square well. The energy of the...

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For the infinite square-well potential, find the probability that a particle in its second excited state...

For the infinite square-well potential, find the probability that a particle in its second excited state is in each third of the one-dimensional box: 0?x?L/3 L/3?x?2L/3 2L/3?x?L There's already an answer on the site saying that the wavefunction is equal to ?(2/L)sin(2?x/L). My professor gave us this equation, but also gave us the equation as wavefunction = Asin(kx)+Bcos(kx), for specific use when solving an infinite potential well. How do I know which equation to use and when? Thanks

For the infinite square-well potential, find the probability that a particle in its fifth excited state...

For the infinite square-well potential, find the probability that a particle in its fifth excited state is in each third of the one-dimensional box: ----------------(0 ≤ x ≤ L/3) ----------------(L/3 ≤ x ≤ 2L/3) ------------------(2L/3 ≤ x ≤ L)

Derive the energies for an infinite square well potential. Start from the Schrödinger Equation and show...

Derive the energies for an infinite square well potential. Start from the Schrödinger Equation and show your work. Please show all the work and steps and the math in details. similar problem will be on my Exam, So I want to learn how to do this. Please write clear so I can read it.

Derive the general wavefunction for a particle in a box (i.e. the infinite square well potential)....

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For a particle in an infinite potential well the separation between energy states increases as n...

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Find the lowest two "threefold degenerate excited states" of the three-dimensional infinite square well potential for...

Find the lowest two "threefold degenerate excited states" of the three-dimensional infinite square well potential for a cubical "box." Express your answers in terms of the three quantum numbers (n1, n2, n3). Express the energy of the two excited degenerate states that you found as a multiple of the ground state (1,1,1) energy. Would these degeneracies be "broken" if the box was not cubical? Explain your answer with an example!

The ground state energy of an oscillating electron is 1.24 eV

The ground state energy of an oscillating electron is 1.24 eV. How much energy must be added to the electron to move it to the second excited state? The fourth excited state?

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