High School Are electromagnetic wavelength and quantum wavelength the same thing?

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SUMMARY

The discussion confirms that electromagnetic wavelength and quantum wavelength, specifically the de Broglie wavelength of photons, are not the same. While electromagnetic waves exhibit electric and magnetic field oscillations, quantum wavelengths, such as matter waves, lack these fields and are inferred rather than directly measured. The conversation highlights the distinction between classical electromagnetic waves and quantum wave functions, emphasizing that the wave function serves as a probability amplitude without a direct physical manifestation in the case of matter waves.

PREREQUISITES
  • Understanding of electromagnetic wave theory
  • Familiarity with quantum mechanics concepts, particularly wave functions
  • Knowledge of de Broglie wavelength
  • Basic principles of wave-particle duality
NEXT STEPS
  • Research the implications of de Broglie wavelength in quantum mechanics
  • Study the differences between classical and quantum wave functions
  • Explore the measurement techniques for electromagnetic waves
  • Investigate the concept of wave-particle duality in greater depth
USEFUL FOR

Students and professionals in physics, particularly those studying quantum mechanics and electromagnetic theory, will benefit from this discussion.

Jehannum
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TL;DR
A simple enough question not to need a summary - I hope
The classical picture of the electromagnetic wave has electric and magnetic field oscillations which give the wavelength of the light. In the quantum picture, is the wavelength of the (de Broglie) wave function of the photon the same thing?
 
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Yes.
 
Is it suprising that something normally taken to be non physical (the wavefunction regarded as a probability amplitude) has a physical manifestation (electric / magnetic field oscillations)? What's the deeper reason behind this? Are there any other instances where classical and quantum are the same in this way?
 
Matter waves have no magnetic and electric fields so no. They are not the same thing as electromagnetic waves.
Matter waves are inferred whereas electromagnetic waves can be and are measured directly.
 
I think you are reading too much into this. Are electromagnetic wavelength and water wavelength the same thing?
 
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Time reversal invariant Hamiltonians must satisfy ##[H,\Theta]=0## where ##\Theta## is time reversal operator. However, in some texts (for example see Many-body Quantum Theory in Condensed Matter Physics an introduction, HENRIK BRUUS and KARSTEN FLENSBERG, Corrected version: 14 January 2016, section 7.1.4) the time reversal invariant condition is introduced as ##H=H^*##. How these two conditions are identical?

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