Undergrad How Is the Planck Relation E=hf Derived?

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The discussion centers on deriving the Planck relation E=hf, which relates energy (E) to frequency (f) through Planck's constant (h). Participants are encouraged to utilize existing resources, such as Wikipedia, for foundational understanding. If the provided information is insufficient, users are advised to continue their inquiries in an existing thread rather than creating new ones. The thread emphasizes the importance of consolidating discussions to maintain clarity. Ultimately, the topic of deriving E=hf is significant in understanding quantum mechanics and electromagnetic waves.
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How do one derive the relation E=hf?
 
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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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