Hey there Sign in to join this conversationNew here? Join for free

Quantum mechanics

Announcements Posted on
Study Help needs new mods! 14-04-2014
Post on TSR and win a prize! Find out more... 10-04-2014
    • Thread Starter
    • 3 followers
    Offline

    ReputationRep:
    Show that the plane waves  e^{ikx} are non-normalisable energy eigenstates for the free particle( i.e.  V(x)=0, \forall  x ). What does it mean for it to be a non-normalisable energy eigenstate? In the answer it says that the energy  E= \dfrac{\hbar k^2}{2m} but I'm not sure I understand why this shows it's non-normalisable.
    • 1 follower
    Offline

    ReputationRep:
    (Original post by JBKProductions)
    Show that the plane waves  e^{ikx} are non-normalisable energy eigenstates for the free particle( i.e.  V(x)=0, \forall  x ). What does it mean for it to be a non-normalisable energy eigenstate? In the answer it says that the energy  E= \dfrac{\hbar k^2}{2m} but I'm not sure I understand why this shows it's non-normalisable.
    broadly speaking, a non normalisable eigenstate is one where, if you integrate the mod square of it's wavefunction over R^3, you get infinity.
    • Thread Starter
    • 3 followers
    Offline

    ReputationRep:
    Thanks.
    • 1 follower
    Offline

    ReputationRep:
    F=Ma
    • 1 follower
    Offline

    ReputationRep:
    (Original post by Jed_)
    F=Ma
    I think you mean:
    \frac{d}{dt}\hat{p}=-<\frac{dV}{d \hat{x}}>
    • 1 follower
    Offline

    ReputationRep:
    (Original post by ben-smith)
    I think you mean:
    \frac{d}{dt}\hat{p}=-<\frac{dV}{d \hat{x}}>
    no my friend, you are mistaken the equation the you just said is Distance/time= speed. don't worry I am very experience in the field of mathematics so I can provide more assistance if you need it, this will lead to less embarrassing situations on your part.

Reply

Submit reply

Register

Thanks for posting! You just need to create an account in order to submit the post
  1. this can't be left blank
    that username has been taken, please choose another Forgotten your password?

    this is what you'll be called on TSR

  2. this can't be left blank
    this email is already registered. Forgotten your password?

    never shared and never spammed

  3. this can't be left blank

    6 characters or longer with both numbers and letters is safer

  4. this can't be left empty
    your full birthday is required
  1. By completing the slider below you agree to The Student Room's terms & conditions and site rules

  2. Slide the button to the right to create your account

    Slide to join now Processing…

    You don't slide that way? No problem.

Updated: May 9, 2012
Article updates
Reputation gems:
You get these gems as you gain rep from other members for making good contributions and giving helpful advice.