How azimutal quantum number got its range value

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Discussion Overview

The discussion revolves around the azimuthal quantum number, specifically its range of values from 0 to n-1, and the methods used to determine this range. The scope includes theoretical aspects of quantum mechanics and references to the Schrödinger equation.

Discussion Character

  • Technical explanation
  • Conceptual clarification
  • Homework-related

Main Points Raised

  • Some participants state that the azimuthal quantum number takes values from 0 to n-1, questioning how this range was established.
  • Others propose that the determination of this range is derived from the algebraic theory of quantum mechanical angular momentum and the solution of the Schrödinger equation in three dimensions.
  • A participant expresses a desire for a more detailed explanation and resources for further learning on the topic.
  • Another participant inquires about the educational background of the individual seeking clarification, suggesting that relevant textbooks may provide the necessary information.
  • Some participants recommend online resources that cover the solution to the Schrödinger equation for the hydrogen atom, indicating varying levels of complexity in the materials available.

Areas of Agreement / Disagreement

Participants generally agree on the established range of the azimuthal quantum number but do not reach a consensus on the detailed methods or resources for understanding this concept fully.

Contextual Notes

Limitations include potential dependencies on specific definitions of quantum numbers and the mathematical intricacies involved in solving the Schrödinger equation, which remain unresolved in the discussion.

Avanthica
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TL;DR
it is known that azimutal quantum number takes the values from 0 to n-1. how did they find it ?
it is known that azimutal quantum number takes the values from 0 to n-1. how did they find it ?
 
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Avanthica said:
TL;DR Summary: it is known that azimutal quantum number takes the values from 0 to n-1. how did they find it ?

it is known that azimutal quantum number takes the values from 0 to n-1. how did they find it ?
From the algebraic theory of quantum mechanical angular momentum, and solving the Schrödinger equation in three dimensions.
 
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PeroK said:
From the algebraic theory of quantum mechanical angular momentum, and solving the Schrödinger equation in three dimensions.
Thank you so much sir for taking time to reply to my thread. Can you explain it in detail sir
or may i know where i can learn about this in detail
 
Avanthica said:
Thank you so much sir for taking time to reply to my thread. Can you explain it in detail sir
or may i know where i can learn about this in detail
Are you studying physics or chemistry at university?
 
PeroK said:
Are you studying physics or chemistry at university?
i am studying physics in an college affiliated to a univertisy
 

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