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## Summary:

- I was learning about Degenerate Perturbation Theory and I encountered the term 'Degenerate Subspace', I didn't really understand what it meant so I came here to ask - what does it mean? will it matter if i'll say 'Degenerate space' instead of 'Degenerate Subspace'? and subspace of what? ( subspace of the space composed from all eigenfunctions of the Hamiltonian maybe? )

## Main Question or Discussion Point

I was learning about Degenerate Perturbation Theory and I encountered the term 'Degenerate Subspace', I didn't really understand what it meant so I came here to ask - what does it mean? will it matter if i'll say 'Degenerate space' instead of 'Degenerate Subspace'? and subspace of what? ( subspace of the space composed from all eigenfunctions of the Hamiltonian maybe? )

From what I understood, the definition is: Set of all eigenfunctions of the Hamiltonian which have the same eigenvalue. ( so essentially, Degenerate subspace is the set of all degenerate eigenfunctions corresponding to a specific Hamiltonian ).

But I would like another opinion and knowledge about the matter.

Thanks for the help in advance.

From what I understood, the definition is: Set of all eigenfunctions of the Hamiltonian which have the same eigenvalue. ( so essentially, Degenerate subspace is the set of all degenerate eigenfunctions corresponding to a specific Hamiltonian ).

But I would like another opinion and knowledge about the matter.

Thanks for the help in advance.