Join TSR now and get all your revision questions answeredSign up now

Quantum mechanics Watch

    • Thread Starter
    Offline

    0
    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.
    Offline

    2
    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
    Offline

    0
    ReputationRep:
    Thanks.
    Offline

    0
    ReputationRep:
    F=Ma
    Offline

    2
    ReputationRep:
    (Original post by Jed_)
    F=Ma
    I think you mean:
    \frac{d}{dt}\hat{p}=-<\frac{dV}{d \hat{x}}>
    Offline

    0
    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.
 
 
 
Poll
Is GoT overrated?
Useful resources

Make your revision easier

Maths

Maths Forum posting guidelines

Not sure where to post? Read the updated guidelines here

Equations

How to use LaTex

Writing equations the easy way

Student revising

Study habits of A* students

Top tips from students who have already aced their exams

Study Planner

Create your own Study Planner

Never miss a deadline again

Polling station sign

Thinking about a maths degree?

Chat with other maths applicants

Can you help? Study help unanswered threads

Groups associated with this forum:

View associated groups

The Student Room, Get Revising and Marked by Teachers are trading names of The Student Room Group Ltd.

Register Number: 04666380 (England and Wales), VAT No. 806 8067 22 Registered Office: International House, Queens Road, Brighton, BN1 3XE

Quick reply
Reputation gems: You get these gems as you gain rep from other members for making good contributions and giving helpful advice.