Exploring Fourier's Transformation & Thermical Radiation in Quantum Mechanics

Click For Summary
The discussion centers on the relationship between Fourier transformations and thermal radiation in quantum mechanics, particularly in the context of accelerated observers experiencing Doppler frequency changes. The referenced article explores how these transformations can lead to the emergence of thermal radiation from classical waveforms. It raises questions about the foundational role of Fourier transformations in quantum mechanics, especially regarding the principle of uncertainty. The inquiry focuses on how classical waves at different times can produce random thermal photons simultaneously. This highlights the intersection of classical and quantum physics in understanding thermal radiation phenomena.
exponent137
Messages
562
Reaction score
35
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.
 

Thread 'Two equivalent statements of time reversal symmetric Hamiltonian'

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?
View full post »

Similar threads

Undergrad Spontaneous Symmetry Breaking and quantum mechanics
  • · Replies 15 ·
Replies
15
Views
2K
Undergrad 'Normalisation' of Fourier Transforms in QFT
  • · Replies 1 ·
Replies
1
Views
2K
Graduate Cause of spontaneous emission?
  • · Replies 15 ·
Replies
15
Views
4K
Undergrad Question regarding quantum mechanics from relativity perspective
  • · Replies 3 ·
Replies
3
Views
1K
Undergrad Cognitive Dissonance and Quantum Mechanics?
  • · Replies 18 ·
Replies
18
Views
3K
Undergrad A very interesting paper on orthodox quantum mechanics
  • · Replies 34 ·
2
Replies
34
Views
1K
Graduate Conjugate variables in the Fourier and Legendre transforms
  • · Replies 1 ·
Replies
1
Views
2K
Undergrad 1D wavepacket scattering simulation, momentum distribution formula
  • · Replies 24 ·
Replies
24
Views
2K
High School Diffraction of light, the mechanism
  • · Replies 19 ·
Replies
19
Views
3K
Graduate Can anyone give me the details of creating a cat state in Circuit QED?
  • · Replies 16 ·
Replies
16
Views
3K