Solving Hydrogen in Electric Field: Angular Dependence

In summary, the conversation discusses a problem about hydrogen in a uniform electric field and the first order correction to the wavefunction being f(r)*cos(theta). The question then arises about the physical process represented by the angular dependence of cos(theta). The possibility of 2pz being included in the expression and creating a degeneracy is also mentioned. The conversation ends with a question about the effect of mixing a small amount of 2pz on the dipole moment of a hydrogen atom in the 1s state.
  • #1
dongying26
1
0
I am working on a problem about hydrogen in a uniform electric field. I have solved for the first order correction to the wavefunction to be f(r)*cos(theta). But then it asks about what "physical process" it represents by having the angular dependence cos(theta). I am thinking that cos(theta) actually is included in expression for 2pz. And I think the combination of 2pz and 1s creates a degeneracy. Is that right that the degeneracy is the thing it asks about the physical process? Thanks!
 
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  • #2
2pz is??
 
  • #3
The dipole moment of a hydrogen atom in the 1s state is zero. What happens if a little bit of 2p_z is mixed?
 

1. What is the purpose of solving hydrogen in an electric field with angular dependence?

The purpose of this research is to understand how the behavior of hydrogen atoms changes when they are placed in an electric field at different angles. This can provide insights into the fundamental properties of hydrogen and how it interacts with electric fields.

2. What methods are used to solve hydrogen in electric field with angular dependence?

There are various computational methods used to solve this problem, including the Hartree-Fock method, coupled cluster method, and density functional theory. These methods involve solving the Schrodinger equation for the hydrogen atom in the presence of an electric field at different angles.

3. What factors affect the angular dependence of hydrogen in an electric field?

The angular dependence of hydrogen in an electric field is affected by several factors, including the strength and direction of the electric field, the energy level of the hydrogen atom, and the distance between the hydrogen atom and the electric field source.

4. What are some potential applications of understanding the angular dependence of hydrogen in an electric field?

Understanding the behavior of hydrogen in an electric field can have practical applications in fields such as quantum computing, spectroscopy, and plasma physics. It can also provide insights into the behavior of other atoms and molecules in electric fields.

5. What are the limitations of solving hydrogen in electric field with angular dependence?

One limitation is that the calculations can become computationally expensive, especially when considering more complex systems. Additionally, the accuracy of the results depends on the chosen computational method and the assumptions made in the calculations.

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