Rotational Quantum Number J: Understanding Its Role in Microwave Spectroscopy

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SUMMARY

The discussion clarifies the distinction between the rotational quantum number J and the total angular momentum quantum number in quantum mechanics. J is specifically used to describe the total angular momentum operator and its eigenvalue, while the orbital angular momentum quantum number l represents the total angular momentum value calculated as l(l+1). In the context of microwave spectroscopy, J is recognized as the rotational quantum number, emphasizing its role in molecular rotational transitions.

PREREQUISITES
  • Understanding of quantum mechanics principles
  • Familiarity with angular momentum operators
  • Knowledge of quantum numbers and their significance
  • Basic concepts of microwave spectroscopy
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  • Research the mathematical formulation of total angular momentum in quantum mechanics
  • Explore the role of rotational quantum numbers in molecular spectroscopy
  • Study the principles of microwave spectroscopy and its applications
  • Learn about the relationship between quantum numbers and molecular energy levels
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Students and professionals in physics, particularly those specializing in quantum mechanics and spectroscopy, as well as researchers interested in molecular rotational dynamics.

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Is it the same as the total angular momentum quantum number ?
 
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What do you mean? Usually, in QM, J is used to describe the total angular momentum operator and the corresponding eigenvalue, same as orbital angular momentum L

The quantum number, however, does not equal to the value of total angular momentum. Orbital angular momentum number l, for example, usually represents (I can't remember the exact notation) total of l(l+1).
 
ZealScience said:
What do you mean? Usually, in QM, J is used to describe the total angular momentum operator and the corresponding eigenvalue, same as orbital angular momentum L

The quantum number, however, does not equal to the value of total angular momentum. Orbital angular momentum number l, for example, usually represents (I can't remember the exact notation) total of l(l+1).


yeah that's what I thought! But if you look up info about microwave spectroscopy, they talk about J as rotational QN!
 

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