gies, and degen- eight levels for a particle in a two-dimensional, rigid square box. or a 8.9 Consider a particle of mass M in a two-dimensional, rigid rectangular box with sides a and b. Using the method of separation of variables, find the allowed energies and wave functions for this particle. In par- ticular, show that the allowed energies are identified by two integers nx with ction tisfy- ation and have the form Пy and 2 ly + ction of a in O. x and alking alking e? 2 2 (8.102) Enx Hy 2M a2 Your analysis will be very similar to that given in Section 8.3; the main purposes of this problem are that you go through that analysis yourself and under- stand how it generalizes to the case of a rectangle with unequal sides. em 8.5. rigid rectangular box with map in
gies, and degen- eight levels for a particle in a two-dimensional, rigid square box. or a 8.9 Consider a particle of mass M in a two-dimensional, rigid rectangular box with sides a and b. Using the method of separation of variables, find the allowed energies and wave functions for this particle. In par- ticular, show that the allowed energies are identified by two integers nx with ction tisfy- ation and have the form Пy and 2 ly + ction of a in O. x and alking alking e? 2 2 (8.102) Enx Hy 2M a2 Your analysis will be very similar to that given in Section 8.3; the main purposes of this problem are that you go through that analysis yourself and under- stand how it generalizes to the case of a rectangle with unequal sides. em 8.5. rigid rectangular box with map in
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For Problem 8.9, how do I analyze a 2-dimensional rigid box that is rectangular? The name of the section is, "The 2-dimensional square box." This is a
Transcribed Image Text:gies, and degen-
eight levels for a particle in a
two-dimensional, rigid square box.
or a
8.9
Consider a particle of mass M in a two-dimensional,
rigid rectangular box with sides a and b. Using the
method of separation of variables, find the allowed
energies and wave functions for this particle. In par-
ticular, show that the allowed energies are identified
by two integers nx
with
ction
tisfy-
ation
and have the form
Пy
and
2
ly
+
ction
of a
in O.
x and
alking
alking
e?
2
2
(8.102)
Enx Hy
2M a2
Your analysis will be very similar to that given in
Section 8.3; the main purposes of this problem are
that you go through that analysis yourself and under-
stand how it generalizes to the case of a rectangle
with unequal sides.
em 8.5.
rigid rectangular box with
map in
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