A state vector |nlm;m;) describe an atom. Where n , l, m¡ and m, are principal quantum number, angular momentum quantum number, magnetic quantum number and spin quantum number of an electron in an atom, respectively. a) What is the relation between the quantum numbers n,1, and m;? b) What is the values of m,? c) How many total number of electrons can exist in the n= 6 state? d) If superposition of a wavefunction of an hydrogen atom is given by V3 Intmm,) = a|210 - +210)

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Quantum Physics

A state vector |nlm;m,) describe an atom. Where n , 1, m; and m; are principal quantum
number, angular momentum quantum number, magnetic quantum number and spin quantum
number of an electron in an atom, respectively.
a) What is the relation between the quantum numbers n, l, and m¡?
b) What is the values of m,?
c) How many total number of electrons can exist in the n = 6 state?
d) If superposition of a wavefunction of an hydrogen atom is given by
V3
Intmm,) = a|210 -) +210)
Find A.
Transcribed Image Text:A state vector |nlm;m,) describe an atom. Where n , 1, m; and m; are principal quantum number, angular momentum quantum number, magnetic quantum number and spin quantum number of an electron in an atom, respectively. a) What is the relation between the quantum numbers n, l, and m¡? b) What is the values of m,? c) How many total number of electrons can exist in the n = 6 state? d) If superposition of a wavefunction of an hydrogen atom is given by V3 Intmm,) = a|210 -) +210) Find A.
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