Suppose a hydrogen atom state was approximated by the function 1s + 2s + 3s where 1s, 2s and 3s are normalized eigenfunctions for the hydrogen atom Hamiltonian. Calculate the approximate energy associated with this function, in atomic unit.

Suppose a hydrogen atom state was approximated by the function 1s + 2s + 3s where 1s, 2s and 3s are normalized eigenfunctions for the hydrogen atom Hamiltonian. Calculate the approximate energy associated with this function, in atomic unit.

Physical Chemistry

2nd Edition

ISBN:9781133958437

Author:Ball, David W. (david Warren), BAER, Tomas

Publisher:Ball, David W. (david Warren), BAER, Tomas

Chapter10: Introduction To Quantum Mechanics

Section: Chapter Questions

Problem 10.4E: State whether the following functions are acceptable wavefunctions over the range given. If they are...

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Techniques and applications of quantum theory

Quantum theory, often known as quantum physics, is the foundation of modern physics and encompasses the nature and behavior of matter and energy at the atomic and molecular levels. As the exact nature and behavior of atomic and subatomic particles are impossible to determine, the laws of classical physics do not apply to this discipline. As a result, quantum field theory is primarily based on assumptions and probabilities.

Question

Don't solve if u cant

Suppose a hydrogen atom state was approximated by the function
1s +
2s +
3s
where 1s, 2s and 3s are normalized eigenfunctions for the hydrogen atom
Hamiltonian. Calculate the approximate energy associated with this function, in
atomic unit.

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