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A Physics undergrad.


Mar
24
revised Why have $n$, $\ell$, $m_\ell$, $m_s$ been picked as quantum number symbols *in this order*?
added 47 characters in body
Mar
24
comment Why have $n$, $\ell$, $m_\ell$, $m_s$ been picked as quantum number symbols *in this order*?
I realize that it is wrong to interpret $n$ as the total number of orbits. It is actually the number of allowed orbits that an electron can have and $n$ can take values from $1,2,3.......$. I have made the necessary changes in the answer.
Mar
24
revised Why have $n$, $\ell$, $m_\ell$, $m_s$ been picked as quantum number symbols *in this order*?
Corrected a factual error regarding the use of the letter n for principle quantum number
Mar
24
comment Why have $n$, $\ell$, $m_\ell$, $m_s$ been picked as quantum number symbols *in this order*?
The $n$ we get by solving the Schrodinger's equation for Hydrogen atom can be interpreted as the allowed Energy State.Actually it is one of the constants we use conventionally while solving the azimuthal equation. Historically, Bohr introduced n in his quantization of angular momentum postulate where n is the allowed orbit. Mathematically,$L = n{h \over 2\pi} = n\hbar$ where $n=1,2,3...$ was called the principle quantum number.Obviously, starting from Bohr's postulate we can also arrive at the expression for energy.The two thus become equivalent, in retrospect.I will make the necessary edits.
Mar
23
comment Why is my restaurant silverware magnetized?
I think that you would have to link the video here via some website like Youtube.
Mar
23
revised Why have $n$, $\ell$, $m_\ell$, $m_s$ been picked as quantum number symbols *in this order*?
Added a Comma.
Mar
23
revised Why have $n$, $\ell$, $m_\ell$, $m_s$ been picked as quantum number symbols *in this order*?
Corrected an error regarding the spin quantum number.
Mar
23
awarded  Teacher
Mar
23
revised Why have $n$, $\ell$, $m_\ell$, $m_s$ been picked as quantum number symbols *in this order*?
Corrected an error regarding the spin quantum number.
Mar
23
revised Why have $n$, $\ell$, $m_\ell$, $m_s$ been picked as quantum number symbols *in this order*?
Corrected an error regarding the spin quantum number.
Mar
23
revised Why have $n$, $\ell$, $m_\ell$, $m_s$ been picked as quantum number symbols *in this order*?
Corrected an error regarding the spin quantum number.
Mar
23
comment Why have $n$, $\ell$, $m_\ell$, $m_s$ been picked as quantum number symbols *in this order*?
I think it was due to the fact that the constant in Legendre's eqaution is conventionally as written as $l(l+1)$. But this is merely a speculation.
Mar
23
revised Why have $n$, $\ell$, $m_\ell$, $m_s$ been picked as quantum number symbols *in this order*?
Added more details including dates.
Mar
23
answered Why have $n$, $\ell$, $m_\ell$, $m_s$ been picked as quantum number symbols *in this order*?
Mar
23
accepted Expectation Value of a Dynamical Variable
Mar
23
comment Expectation Value of a Dynamical Variable
So, we can view expectation values of an operator as nothing but as inner products? And this follows from Operator Theory?
Mar
23
awarded  Commentator
Mar
23
comment Expectation Value of a Dynamical Variable
Can you please elaborate on "general operator theory". Are you talking about linear algebra in general?
Mar
23
comment Expectation Value of a Dynamical Variable
So, it is alright if we talked about expectation values of observable or operator and use both the terms interchangeably?
Mar
23
comment Expectation Value of a Dynamical Variable
Can you please take a look at this.Here, not only they the represent the expectation values by the first integral (with a hat) but also calculates the expectation value of the annihilation operator $\widehat{a}$ which has no corresponding dynamical variable. (Page 6 of the pdf)