Consider an electron in the hydrogen atom that was occupying the following quantum state combination of position and spin: 2 V (r, 0, ¢) = R12 Y°(0,¢)x +Y?(0,¢)x- 3 (3.1) Where R21 (r) is the radial function of the hidrogen atom with: n=2,1=1 and Y" are spherical harmonics and x+ = (6), x- = () are spinors a) What values and with what probability do you find the squared angular mo- mentum (j?)..J = L+S b) find the values and probability of the proyection of [J] in the z-direction, J,
Consider an electron in the hydrogen atom that was occupying the following quantum state combination of position and spin: 2 V (r, 0, ¢) = R12 Y°(0,¢)x +Y?(0,¢)x- 3 (3.1) Where R21 (r) is the radial function of the hidrogen atom with: n=2,1=1 and Y" are spherical harmonics and x+ = (6), x- = () are spinors a) What values and with what probability do you find the squared angular mo- mentum (j?)..J = L+S b) find the values and probability of the proyection of [J] in the z-direction, J,
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![Consider an electron in the hydrogen atom that was occupying the following
quantum state combination of position and spin:
V (r, 0, ¢) = R12
Y°(0, ¢)x+ +
(3.1)
Where R21(r) is the radial function of the hidrogen atom with: n=2,1=1 and
Y;" are spherical harmonics and x+
(), x-
are spinors
a) What values and with what probability do you find the squared angular mo-
mentum (j2)..J = L+ S
b) find the values and probability of the proyection of [J] in the z-direction, J,](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F01be6dab-c5f4-4468-a4a1-9811574e9eb6%2F76f494f2-838c-424e-b9ef-91c724ba7cb5%2Fepujlk6_processed.png&w=3840&q=75)
Transcribed Image Text:Consider an electron in the hydrogen atom that was occupying the following
quantum state combination of position and spin:
V (r, 0, ¢) = R12
Y°(0, ¢)x+ +
(3.1)
Where R21(r) is the radial function of the hidrogen atom with: n=2,1=1 and
Y;" are spherical harmonics and x+
(), x-
are spinors
a) What values and with what probability do you find the squared angular mo-
mentum (j2)..J = L+ S
b) find the values and probability of the proyection of [J] in the z-direction, J,
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