How Does the Hartree Model Account for the Pauli Exclusion Principle?

This means that the pauli-exclusion principle is not fully accounted for. However, occupied orbitals are still different in order to partially account for the principle. The hartree-fock approximation, which considers the pauli-exclusion principle, provides an anti-symmetric function. It should be noted that "fock" is the correct term, not "jock." This was a typing mistake.
  • #1
Auwings2006
1
0
My understanding of the Hartree approximation is that the product wavefunction is symmetric rather than antisymmetric, therefore the Hartree approximation effectively ignores the Pauli exclusion principle.

So how does the Pauli-exclusion principle get taken account of in the Hartree model?

Any clarification would be great appreciated.
Auwings2006
 
Physics news on Phys.org
  • #2
it gets taken into account to some degree because the occupied orbitals are all different.
 
  • #3
hartree approx. when considers the pauli exclusion principle then it becomes hatree jock approximation .hatree jock approx. also provides antisymmetric function
 
  • #4
hafsa said:
hartree approx. when considers the pauli exclusion principle then it becomes hatree jock approximation .hatree jock approx. also provides antisymmetric function

Fock, not jock.
 
  • #5
yes.it was typing mistake
 
  • #6
Auwings2006 said:
My understanding of the Hartree approximation is that the product wavefunction is symmetric rather than antisymmetric, therefore the Hartree approximation effectively ignores the Pauli exclusion principle.

So how does the Pauli-exclusion principle get taken account of in the Hartree model?

Any clarification would be great appreciated.
Auwings2006

In the hartree approximation the wavefunction is neither symmetric nor anti-symmetric.
 

1. What is the Hartree Approximation?

The Hartree Approximation is a mathematical method used in quantum mechanics to approximate the behavior of a system of electrons in an atom or molecule. It assumes that each electron moves in an average potential created by all the other electrons, rather than considering the interactions between individual electrons.

2. How is the Hartree Approximation used in research?

The Hartree Approximation is used to simplify calculations in quantum chemistry and materials science. It allows scientists to predict the electronic structure and properties of atoms and molecules, which is crucial for understanding and designing new materials and chemical reactions.

3. Is the Hartree Approximation accurate?

Although the Hartree Approximation is a simplified model, it can provide accurate results for many systems. However, for more complex systems, it may not capture all the details of the interactions between electrons and may lead to some inaccuracies.

4. How does the Hartree Approximation compare to other methods in quantum mechanics?

The Hartree Approximation is a mean field method, meaning it does not fully account for the interactions between particles. Other methods, such as the Hartree-Fock method and density functional theory, incorporate more complex interactions and can be more accurate. However, these methods are also more computationally demanding.

5. Who developed the Hartree Approximation?

The Hartree Approximation was first developed by Douglas Hartree in 1928. However, it was later refined and extended by other scientists, including Vladimir Fock and John Slater, to become the Hartree-Fock method.

Similar threads

I Weakly interacting electrons in an atom
    • Quantum Physics
Replies
2
Views
752
I Pauli exclusion principle and Hermitian operators
    • Quantum Physics
Replies
15
Views
2K
I Hartree Fock v.s. Configuration Interaction
    • Quantum Physics
Replies
2
Views
1K
A How can a 'Principle' produce a 'Force'?
    • Quantum Physics
Replies
12
Views
1K
I How does the Pauli exclusion principle work?
    • Quantum Physics
Replies
2
Views
988
I Pauli exclusion principle explained
    • Quantum Physics
Replies
2
Views
971
I Hund's rules and Pauli's principle
    • Quantum Physics
Replies
6
Views
1K
Pauli's exclusion principle
    • Quantum Physics
Replies
2
Views
2K
Pauli exclusion principle question (again)
    • Quantum Physics
Replies
8
Views
2K
A Non interacting Fermions satisfy the Pauli exclusion principle
    • Atomic and Condensed Matter
Replies
8
Views
2K

Hot Threads

Recent Insights

Back
Top