Undergrad Trying to understand electron orbitals

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The discussion focuses on the process of electron absorption of photons and the resulting changes in electron orbitals. It is established that this absorption process is instantaneous, as there are no intermediate states allowed by the Schrödinger equation. The dynamics of electron orbitals are primarily described by the Schrödinger equation, which indicates that electrons do not have defined paths until measured. The concept of a "quantum leap" is criticized for implying a known trajectory, which contradicts quantum mechanics principles. An analogy is drawn with water waves to illustrate the complexity of transitions without defined paths.
dsaun777
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I'm having trouble understanding this process. The electron is absorbing the photon and has a changed orbital corresponding exactly to the photons energy. During the absorption the electron "jumps" energy levels, Is this process instantaneous? What are the equations that describe dynamics of electron orbitals?
 
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dsaun777 said:
I'm having trouble understanding this process. The electron is absorbing the photon and has a changed orbital corresponding exactly to the photons energy. During the absorption the electron "jumps" energy levels, Is this process instantaneous?
This is not my area of expertise but since there is no in-between state I'd assume it has to be instantaneous.

What are the equations that describe dynamics of electron orbitals?
That's beyond my knowledge but I'm sure someone here will answer it.
 
does an atom occupy more space as the energy levels increase?
 
According to quantum mechanics, the absorption process is instantaneous. Introductory quantum mechanics textbooks describe it as a perturbation in the electric potential that is oscillating. Then the transition probabilities are derived. The process is understood to be instantaneous as 'middle' states are not a solution of Schrodinger equation, so not allowed. Anyway, the absorption must occur in packets multiple of photon energy.

The equations that describe the dynamics of electron orbitals are only one, the schrodinger equation.
 
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In stardard quantum mechanics, the electron does not have a definite path or state until it is measured.

There is no such thing as a quantum leap because it implicitly assumes that we would know the trajectory of the electron. Therefore, we cannot say if the transition is instantaneous or not.

An analogous process is water waves in two pools which are connected by a narrow channel. We splash the water in one pool to make waves. The waves gradually travel through the channel also to the other pool.

We have sensors in the other pool which can observe a wave and absorb it, so that the water is almost still again.

A sensor beeps that it has observed a wave. What "path" did that wave take to the other pool? Obviously, it had to travel through the channel. But before entering the channel, the configuration was complex and we cannot point a specific trajectory for the wave.
 
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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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