Superposition/electron energy levels

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When an electron transitions between energy levels in an atom, it exists in a superposition of states during the transition. According to time-dependent perturbation theory, this superposition allows for a probability of the electron decaying to the ground state over time. The transition is not instantaneous; rather, there is a moment when the electron is partially in both the initial and final states. This concept highlights the probabilistic nature of quantum mechanics. Understanding these transitions is crucial for grasping electron behavior in atomic structures.
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when an electron in an atom transitions from one shell to another does it do it instantly or is there a time when it is partially in one and partially in the other. in other words in a superposition of both states.
 
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In the framework of time-dependent perturbation theory, yes, the state will be a superposition of states, and there is a probability for it to decay to the ground state each unit 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?
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