Exploring Fourier's Transformation & Thermical Radiation in Quantum Mechanics

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SUMMARY

This discussion centers on the application of Fourier's transformation in quantum mechanics, particularly in relation to thermal radiation and the Doppler effect for accelerated observers. The article referenced, available at http://arxiv.org/abs/quant-ph/0401170, demonstrates how the Doppler frequency changes exponentially over time and connects this to thermal radiation through Fourier transformation. The conversation raises critical questions about the foundational role of Fourier transformation in quantum mechanics, especially regarding the relationship between classical waves and the generation of thermal photons.

PREREQUISITES
  • Understanding of Fourier transformation in the context of wave mechanics
  • Familiarity with quantum mechanics principles, particularly the uncertainty principle
  • Knowledge of thermal radiation concepts and their quantum implications
  • Basic grasp of the Doppler effect and its relevance in accelerated frames
NEXT STEPS
  • Research the role of Fourier transformation in quantum mechanics
  • Explore the implications of the uncertainty principle on wave functions
  • Study the relationship between classical waves and quantum thermal radiation
  • Investigate the Doppler effect in various physical contexts, including accelerated observers
USEFUL FOR

Physicists, quantum mechanics students, and researchers interested in the intersection of wave theory and thermal radiation in quantum systems.

exponent137
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I read article
http://arxiv.org/abs/quant-ph/0401170
It obtains how Dopler frequency change exponentialy with time for accelerated observer.
Then it does Fourier's transformation of this waving and it gets thermical radiation.
But, where in quantum mechanics it is supported that we make Fourier's transformation that change one monotonic waving in accidenal radiation?
 
Physics news on Phys.org
Or asking different: Fourier transformation is basic in quantum mechanics (QM). It describe also principle of uncertainty.
But, how this implies on that classical waving at different times gives accidental thermical photons at the same time.
 

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