Is Frequency Quantized in Quantum Mechanics?

In summary, frequency quantization is the process of dividing continuous values into discrete values. This means that frequencies can only exist at certain levels, rather than any value within a range. It is a result of the physical properties of the system generating the frequency and has implications in fields such as physics and engineering. Frequency is typically measured in units of Hertz and can be used to design and optimize electronic and communication systems.
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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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  • #2
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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Related to Is Frequency Quantized in Quantum Mechanics?

1. What does it mean for frequency to be quantized?

Quantization is the process of dividing a continuous range of values into discrete values. In terms of frequency, it means that frequencies can only exist at certain discrete levels or values, rather than being able to take on any value within a range.

2. How is frequency quantized?

Frequency quantization is a result of the physical properties of the system that generates the frequency. For example, in an electronic circuit, the frequency is quantized due to the discrete energy levels of the electrons in the circuit.

3. Can frequency be measured in units of quantization?

No, frequency is typically measured in units of Hertz (Hz), which represents one cycle per second. The quantization of frequency does not affect the units in which it is measured.

4. Is frequency always quantized?

Frequency is not always quantized. In some systems, such as light waves, frequency can exist at any value within a continuous range. However, in many physical systems, frequency is indeed quantized.

5. Why is the quantization of frequency important?

The quantization of frequency has implications in many fields, including physics, engineering, and technology. It helps us understand the behavior of physical systems and can be used to design and optimize various electronic and communication systems.

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