- #1

drop_out_kid

- 34

- 2

- Homework Statement:
- In the comment section

- Relevant Equations:
- Schrodinger equation

So my question is.. Is schrodinger equation for this problem like this?:

How to use the condition that E=0?

Thank you

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- Thread starter drop_out_kid
- Start date

- #1

drop_out_kid

- 34

- 2

- Homework Statement:
- In the comment section

- Relevant Equations:
- Schrodinger equation

So my question is.. Is schrodinger equation for this problem like this?:

How to use the condition that E=0?

Thank you

- #2

vela

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$$-\frac{\hbar^2}{2m}\psi''(x) + V(x)\psi(x) = E\psi(x).$$ When you set ##E=0##, the righthand side becomes 0.

- #3

drop_out_kid

- 34

- 2

Exactly. And I solve it as this:

$$-\frac{\hbar^2}{2m}\psi''(x) + V(x)\psi(x) = E\psi(x).$$ When you set ##E=0##, the righthand side becomes 0.

Could you take a look if it's right? I thought this is probably too trivial that xmin is just 0?

- #4

vela

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The given wave function is one of the energy eigenstates for the simple harmonic oscillator. What's the potential energy function for the simple harmonic oscillator?

- #5

drop_out_kid

- 34

- 2

-1/2kx^2?

The given wave function is one of the energy eigenstates for the simple harmonic oscillator. What's the potential energy function for the simple harmonic oscillator?

So where is the constant come from ?? the phi(x) got cancelled..

Thank you so much for answering my question!

- #6

vela

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##\psi''## should have two terms. Neither term disappears when you divide by ##\psi##.

- #7

drop_out_kid

- 34

- 2

Thank you so much... I am doing it again##\psi''## should have two terms. Neither term disappears when you divide by ##\psi##.

- #8

drop_out_kid

- 34

- 2

So yes there's a constant! And I got another question: should I time a sai(t)? I am not familiar with it but I saw that phi(x,t) usually written to phi(x)*sai(t) and sai(t) is usually an exponential##\psi''## should have two terms. Neither term disappears when you divide by ##\psi##.

- #9

LCSphysicist

- 634

- 153

I have no idea of what is a sai(t). But if you are solving the Schrodinger ///non-time-dependent/// equation (the one you posted (missing an E of energy) at the first post) you should not worry with time.So yes there's a constant! And I got another question: should I time a sai(t)? I am not familiar with it but I saw that phi(x,t) usually written to phi(x)*sai(t) and sai(t) is usually an exponential

- #10

drop_out_kid

- 34

- 2

Yes I think so. Now I got last problem of my assignment and last hour of due, thank you !I have no idea of what is a sai(t). But if you are solving the Schrodinger ///non-time-dependent/// equation (the one you posted (missing an E of energy) at the first post) you should not worry with time.

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