Bohr Model and wave-particle duality

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The Bohr Model fails to account for the wave-particle duality of electrons, which can exhibit both wave-like and particle-like behavior. This duality is a fundamental characteristic of all matter, as proposed by Louis de Broglie in 1924 and confirmed through experiments. The Compton effect illustrates particle behavior when photons interact with electrons, while the photoelectric effect shows wave behavior when photons are absorbed. Both experiments highlight the complex nature of light and matter, emphasizing the limitations of the Bohr Model in explaining these phenomena. Understanding these concepts is essential for grasping the principles of quantum mechanics.
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I am currently studying wave-particle duality. However, at the moment I do not see how the Bohr Model is connected to this topic. I know that the Bohr Model failed to recognise various aspects of the atom and that it works only for single atoms e.g. Hydrogen, but what did it fail to do when it comes to wave-particle duality. In addition to this, when does an electron act like a wave and does the Compton effect and the Photoelectric effect help to explain this.

Thanks for your time and your help!
 
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The Bohr Model failed to recognize that electrons can exist in states of both wave-like and particle-like behavior. Wave-particle duality is a fundamental feature of all matter, which means that particles such as electrons can behave like either a wave or a particle depending on the situation. This duality was first proposed by Louis de Broglie in 1924 and was later confirmed experimentally. The Compton effect and the photoelectric effect are two experiments that help to explain wave-particle duality. In the Compton effect, a photon interacts with an electron and behaves like a particle, while in the photoelectric effect, a photon is absorbed by an electron and behaves like a wave. These experiments demonstrate how light and matter can exhibit both wave and particle behavior.
 
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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