Quantization of Energy: Planck's Constant & Standing Waves

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SUMMARY

The discussion centers on Planck's quantization of energy, expressed by the formula ε=hv, where ε represents energy, h is Planck's constant, and v is frequency. Participants clarify that while energy can only take on discrete values (integer multiples of hv), the frequency v can indeed be any continuous value. This implies that specific standing waves correspond to particular frequencies, allowing for the emission of photons with various energy levels, specifically nhv, where n is an integer.

PREREQUISITES
  • Understanding of Planck's constant (h) and its role in quantum mechanics.
  • Familiarity with the concept of frequency (v) in wave mechanics.
  • Basic knowledge of standing waves and their properties.
  • Comprehension of photon energy and its quantization.
NEXT STEPS
  • Study the implications of Planck's constant in quantum mechanics.
  • Explore the relationship between frequency and energy in electromagnetic waves.
  • Investigate the concept of standing waves in various physical systems.
  • Learn about the quantization of energy in different contexts, such as in quantum field theory.
USEFUL FOR

Students of physics, educators in quantum mechanics, researchers exploring wave-particle duality, and anyone interested in the principles of energy quantization.

ENDLESSYOU
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I have a basic problem about Planck's quantization of energy, ε=hv. It's said that we can only get the integer product of hv, that's the quantilization. But when we plug in v, we can plug any continuous value? Does that mean a particular standing wave in a capacity is specifield a particular v, and it can obtain the integer product of v, ie. nhv?
 
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Yes, you can get photons of any energy.
 
f95toli said:
Yes, you can get photons of any energy.

Thanks!
 

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