Quantum Numbers for Hydrogen Atom Electron

AI Thread Summary
The discussion centers on defining the quantum numbers for an electron in a hydrogen atom, particularly when the spatial wavefunction has no angular dependence. The key quantum numbers include the principal quantum number (n), total orbital angular momentum quantum number (l), magnetic quantum number (ml), total spin quantum number (s), and the spin magnetic quantum number (ms). It is established that if there is no angular dependence, l equals 0 and ml also equals 0, while s is 1/2. The principal quantum number n relates to the radial part of the wavefunction and is not directly determined by the angular momentum quantum numbers. The conversation highlights the importance of understanding the relationship between these quantum numbers in the context of hydrogen's electron state.
bon
Messages
547
Reaction score
0

Homework Statement



Define the quantum numbers required to specify the state of an electron in hydrogen. The spatial part of the wave-function describing a particular hydrogen atom has no angular dependence. Give the values of all the angular momentum quantum numbers for the electron.


Homework Equations





The Attempt at a Solution



so am i right that the numbers are:

n - the total energy quantum number, n = L+1 where L is max value of l
l - total orbital angular mom quant number
ml - z comp of orbital ang mom
s - total spin quantum number
ms - z comp of spin

what about the next part?

if the spatial wavefunction has no angular dependence then i guess that l = 0, ml = 0. We know that s = 1/2. What about ms and n? Surely these can't be known?
 
Physics news on Phys.org
anyone?
 
hellooo people - should this be in advanced?
 
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
Back
Top