- #1

patric44

- 285

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- Homework Statement:
- what is is maximum and minimum number of confined states within these potential wells ?

- Relevant Equations:
- UL>(pi^2)(hbar^2)/8me , the condition for existence of states in the semi infinite well

hi guys

i came across this question about the maximum and minimum number of bound states that can be confined in these potential wells

1- infinite potential well

2- semi infinite potential well (from one side)

3 - finite potential well

1- the infinite has minimum of 1 state it could always have at least one state

2 - the semi infinite if it were very shallow it could have no states so the min is 0

3 - the finite also always have at least 1 states inside no matter how shallow

is that correct.

and I am not sure what is the maximum in each and shouldn't that be dependent on the exact value of V ,

is there is a formula for that that depend on potential ?

i came across this question about the maximum and minimum number of bound states that can be confined in these potential wells

1- infinite potential well

2- semi infinite potential well (from one side)

3 - finite potential well

__i think i have a good idea about the minimum number of states i guess :__1- the infinite has minimum of 1 state it could always have at least one state

2 - the semi infinite if it were very shallow it could have no states so the min is 0

3 - the finite also always have at least 1 states inside no matter how shallow

is that correct.

and I am not sure what is the maximum in each and shouldn't that be dependent on the exact value of V ,

is there is a formula for that that depend on potential ?