Classical wavelength versus wavefunction

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The discussion centers on the relationship between the classical wavelength of a photon, as described by Maxwell's equations, and the wavelength represented in quantum wavefunctions. Participants suggest that understanding the connection involves exploring the Planck and de Broglie relations. They indicate that algebraic manipulation can clarify how these concepts are interrelated. The conversation emphasizes the importance of both classical and quantum perspectives in understanding wave behavior. Overall, the inquiry highlights the need for a deeper exploration of wave-particle duality in physics.
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Hi,

I was reading about interference patterns. I was wondering if the classical interpretation of the wavelength of the photon according to maxwell's is the actual wavelength of the photon in the wavefunction? Are the two related? Thanks!
 
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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?
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