A particle of mass m moves in a one-dimensional potential which is zeroin the region Ixl < Q, and infinite outside this region. (a) Derive expressions for the normalised solutions of the Schrodinger equation and the corresponding energies. (b) Sketch the form of the wave functions for the four lowest energies. (c) What are the parities of the wave functions? [Notation: k2 = ZmE/h2. ]

A particle of mass m moves in a one-dimensional potential which is zeroin the region Ixl < Q, and infinite outside this region. (a) Derive expressions for the normalised solutions of the Schrodinger equation and the corresponding energies. (b) Sketch the form of the wave functions for the four lowest energies. (c) What are the parities of the wave functions? [Notation: k2 = ZmE/h2. ]

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Question

A particle of mass

moves in a

one-dimensional

potential which is

zeroin the region Ixl < Q,

and infinite

outside

this region.

(a) Derive expressions for the normalised solutions of the Schrodinger

equation and the corresponding energies.

(b) Sketch the form of the wave functions for the four lowest energies.

[Notation: k2 = ZmE/h2. ]

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