1.Consider a one-dimensional potential well of length /I, in which potential energy is zero inside the well and infinity elsewhere as shown in the Figure below. 4 to 0 to o V (x)† I II II x = 0 x = ! (a) Show that the wave-function in the I and III region are zero, and (b) Find the expression for the wave function in the II region. (c) What are the boundary conditions for the one-dimensional potential well shown in the figure? Apply the boundary condition to show that energy of the particle in the box is quantized.

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1.Consider a one-dimensional potential well of length I, in which potential energy is zero inside the wellI
and infinity elsewhere as shown in the Figure below.
to o
to o
I
II
III
x = 0
x = !
|
(a) Show that the wave-function in the I and III region are zero, and
(b) Find the expression for the wave function in the II region.
(c) What are the boundary conditions for the one-dimensional potential well
shown in the figure? Apply the boundary condition to show that energy of the
particle in the box is quantized.
Given: e'e
= cos 0 + i sin 0; e¬1º = cos 0 – i sin 0
English (United States)
D Focus
132%
Page 1 of 1
84 words
2:25 PM
32°C Mostly sunny O 4) O
29/1/2022
< » 1>
Transcribed Image Text:AutoSave Consider a one - Compatibil. - P Search (Alt+Q) ff retroget File Home Insert Draw Design Layout References Mailings Review View Help P Comments A Share Calibri (Body) - 11 - A A Aa - A No Spacing Heading 1 Normal Paste U v ab x, x A Editing Dictate Editor Reuse В I Files Undo Clipboard a Font Paragraph Styles Voice Editor Reuse Files 1.Consider a one-dimensional potential well of length I, in which potential energy is zero inside the wellI and infinity elsewhere as shown in the Figure below. to o to o I II III x = 0 x = ! | (a) Show that the wave-function in the I and III region are zero, and (b) Find the expression for the wave function in the II region. (c) What are the boundary conditions for the one-dimensional potential well shown in the figure? Apply the boundary condition to show that energy of the particle in the box is quantized. Given: e'e = cos 0 + i sin 0; e¬1º = cos 0 – i sin 0 English (United States) D Focus 132% Page 1 of 1 84 words 2:25 PM 32°C Mostly sunny O 4) O 29/1/2022 < » 1>
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