Help with electron evolution governed by Hamiltonian

AI Thread Summary
The discussion revolves around understanding the Hamiltonian for an electron, expressed as H=(p^2)/2m + (1/(4Piε))*(e^2)/(r1-r2). Participants are seeking guidance on how to derive an energy approximation and interpret the Hamiltonian's components. The kinetic energy is represented by the first term, while the second term indicates the potential energy associated with electron interactions. There is a suggestion that the potential energy could relate to the ionization energy of an atom, estimated at -13.6 eV. Clarifications on these concepts are crucial for exam preparation.
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help with electron evolution governed by Hamiltonian ,,,

Homework Statement




an electron evolution governed by Hamiltonian H=(p^2) /2m +(1/(4Piε))* (e^2)/(r1-r2) give an energy approximation and what's the physical interpretation of the such a Hamiltonian

Homework Equations





The Attempt at a Solution

cant really think of something, any hints how to start ?! got an exam on the topic tomorrow
 
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So what do the parts of a Hamiltonian represent? Hint, in classical physics one is the kinetic energy and one is the potential energy. So what are they here? And what would that mean as far as the potential?
 
I would guess it should the energy needed to ionize the atom which is probably -13.6ev,
 
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