Hi. Hoping for some help with the following questions -(adsbygoogle = window.adsbygoogle || []).push({});

1 - Are there any momentum eigenstates in a box ? I think the answer is no because if i solve the momentum eigenvalue equation in 1-D i get A^{ikx}but it seems impossible to get this to meet the boundary conditions

2 - As far as I know a free particle has the following wavefunction ψ = A^{ikx}but if i solve Scrodingers time independent equation i get ψ = A^{ikx}+ B^{-ikx}which is a standing wave and the wavefunction for a particle in a box. What am I doing wrong ?

3 - Are the position eigenstates for a free particle and a particle in a box the same ? Given by δ(x-x_{0}) ?

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# Momentum and position eigenstates ; free and bound

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