What would be the energy eigenvalues of this particle?

In summary, the conversation discusses the energy eigenvalues of a particle confined in a 3D box with sides L, 2L, and 2L. The correct formula for the energy eigenvalues is provided, which includes the constants h, m, and the wavefunction properties n1, n2, and n3. The conversation ends with a thank you and a peaceful sentiment.
  • #1
FUNKER
121
0
howdy all,
i need some answers if possible
suppose i have a particle mass m, confinded in a 3d box sides L,2L,2L
what would be the energy eigenvalues of this particle
i presumed it to be:

hcross*w*A
where hcross is h/2*pi
w is omega
and A is the 'amplitude' of the wavefunction.
can someone confirm this or tell what it may actually be
thanks
peace
 
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  • #2
Your answer is not correct, the correct answer should be.
[tex] \frac{h^2}{8m}(\frac{n_1^2}{L^2}+\frac{n_2^2}{4L^2}+\frac{n_3^2}{4L^2})[/tex],
[tex]n_1=1,2..., n_2, n_3[/tex] are the same.
 
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  • #3
hey thanks heaps for your help brother
peace
 

FAQ: What would be the energy eigenvalues of this particle?

What is an energy eigenvalue?

An energy eigenvalue is a value that represents the total energy of a particle in a particular state. It is a constant value that does not change over time.

How are energy eigenvalues determined?

Energy eigenvalues are determined by solving the Schrödinger equation, which is a mathematical equation that describes the behavior of quantum particles. The solutions to this equation give the possible energy eigenvalues for a particle.

What factors affect the energy eigenvalues of a particle?

The energy eigenvalues of a particle are affected by the potential energy of the system, the mass of the particle, and any external forces acting on the particle. They can also be influenced by the shape of the potential energy function.

How do energy eigenvalues relate to the energy spectrum of a particle?

The energy eigenvalues represent the discrete energy levels of a particle, while the energy spectrum shows the range of energies that a particle can have. The energy spectrum is made up of all the possible energy eigenvalues for a given system.

Can energy eigenvalues change over time?

No, energy eigenvalues are constant and do not change over time. However, the probability of a particle being in a particular energy eigenstate can change over time as the particle interacts with its environment.

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