Is Frequency Quantized in Quantum Mechanics?

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SUMMARY

The discussion centers on the quantization of frequency in quantum mechanics, specifically referencing the equation E=hf, where E represents energy and f represents frequency. It is established that if energy (E) can only take on discrete values, then frequency (f) must also be quantized. This quantization is system-dependent; bound electrons exhibit discrete energy levels, while unbound electrons do not, allowing for a continuous range of frequencies.

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  • Understanding of quantum mechanics principles
  • Familiarity with the equation E=hf
  • Knowledge of bound and unbound electron states
  • Basic grasp of energy quantization concepts
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Students and professionals in physics, particularly those focusing on quantum mechanics, as well as researchers interested in the implications of energy and frequency quantization.

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As to E=hf I understand that a energy can be arbitrary in order of proportional packages to given frequency. But is there any equation in quantum mechanics which imply a freq to be quantized?
Thanks a lot!
 
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If ##E## can only take on discrete values, then ##E=hf## obviously implies that ##f## can only take on discrete values as well.

However, whether ##E## is limited to discrete values or not depends on the system. For example, a bound electron is limited that way but an unbound one is not.
 
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