Exploring Fourier's Transformation & Thermical Radiation in Quantum Mechanics

In summary, Fourier's transformation is a mathematical tool used to break down complex functions into simpler sinusoidal functions. In quantum mechanics, it is used to convert the wavefunction into momentum space and analyze particle behavior. Thermical radiation in quantum mechanics is electromagnetic radiation emitted by a system at a certain temperature, which can be analyzed using Fourier's transformation. Understanding these concepts is crucial for studying and manipulating quantum systems, as well as in fields such as spectroscopy.
  • #1
exponent137
564
34
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?
 
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  • #2
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.
 

FAQ: Exploring Fourier's Transformation & Thermical Radiation in Quantum Mechanics

1. What is Fourier's transformation?

Fourier's transformation is a mathematical tool that allows us to decompose a complex function into simpler sinusoidal functions. It is commonly used in signal processing, image analysis, and quantum mechanics.

2. How is Fourier's transformation used in quantum mechanics?

In quantum mechanics, Fourier's transformation is used to convert the wavefunction, which represents the probability of finding a particle at a given location, into momentum space. This allows us to analyze the behavior of particles in terms of their momentum instead of position.

3. What is thermical radiation in quantum mechanics?

Thermical radiation in quantum mechanics is the electromagnetic radiation emitted by a system at a certain temperature. It is described by Planck's law, which states that the amount of radiation emitted at a given wavelength is proportional to the temperature of the system.

4. How does Fourier's transformation relate to thermical radiation in quantum mechanics?

Fourier's transformation is used to analyze the energy spectrum of thermical radiation. By transforming the radiation into frequency space, we can determine the energy levels of the system and make predictions about its behavior.

5. What practical applications does understanding Fourier's transformation and thermical radiation have in the field of quantum mechanics?

Understanding Fourier's transformation and thermical radiation is essential for studying and manipulating quantum systems, such as in quantum computing and quantum communication. It also has applications in fields such as spectroscopy, where it is used to analyze the energy levels of molecules and atoms.

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