(a) Supposing that (x, y, z) = f(x) + g(y) +h(2). SE find the three partial derivatives of & (in terms of de- rivatives of f. g, and h). (b) Do the same for (x, y, z) = f(x) g (y)h (z). 8.4 8.8 Write down the Schrödinger equation (8.2) for a free particle, subject to no forces and hence with U (r) 0 everywhere, and show that the function (r)ekr is a solution for any fixed vector k satisfy- ing E = h k-/2M. Can you suggest an interpretation 8.9 by . A mountain can be described by the function h(x, y), which gives the height above sea level of a for the vector k? 8.5 north of the origin a ing of de ar and Your DETAILS Derivatives with respect to one variable hold others fixed (Sec. 8.2) a v P P ax2 ay2 2M U-EW (8.2) 72 Energies, E Eo(n+n2), identified by two and ny (8.29)
(a) Supposing that (x, y, z) = f(x) + g(y) +h(2). SE find the three partial derivatives of & (in terms of de- rivatives of f. g, and h). (b) Do the same for (x, y, z) = f(x) g (y)h (z). 8.4 8.8 Write down the Schrödinger equation (8.2) for a free particle, subject to no forces and hence with U (r) 0 everywhere, and show that the function (r)ekr is a solution for any fixed vector k satisfy- ing E = h k-/2M. Can you suggest an interpretation 8.9 by . A mountain can be described by the function h(x, y), which gives the height above sea level of a for the vector k? 8.5 north of the origin a ing of de ar and Your DETAILS Derivatives with respect to one variable hold others fixed (Sec. 8.2) a v P P ax2 ay2 2M U-EW (8.2) 72 Energies, E Eo(n+n2), identified by two and ny (8.29)
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Problem 8.4 is asking for a few answers that have to do with the given Shrodinger equation, but how do I make sense of what they're asking for? This problem has to do with
Transcribed Image Text:(a) Supposing that (x, y, z) = f(x) + g(y) +h(2).
SE
find the three partial derivatives of & (in terms of de-
rivatives of f. g, and h). (b) Do the same for
(x, y, z) = f(x) g (y)h (z).
8.4
8.8
Write down the Schrödinger equation (8.2) for a
free particle, subject to no forces and hence with
U (r) 0 everywhere, and show that the function
(r)ekr is a solution for any fixed vector k satisfy-
ing E = h k-/2M. Can you suggest an interpretation
8.9
by
. A mountain can be described by the function
h(x, y), which gives the height above sea level of a
for the vector k?
8.5
north of the origin a
ing of de ar and
Your
Transcribed Image Text:DETAILS
Derivatives with respect to one variable hold
others fixed (Sec. 8.2)
a v P P
ax2 ay2
2M
U-EW (8.2)
72
Energies, E Eo(n+n2), identified by two
and ny (8.29)
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