Node and Nodless wavefunction?

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Nodes refer to points in a wave function where the probability density is zero, while nodeless wave functions lack these radial nodes. In the context of pseudopotentials, nodeless wave functions specifically mean they do not have radial nodes corresponding to the electrons absorbed in the effective core potential (ECP). However, these wave functions can still possess angular nodes due to the spherical harmonic components of atomic wave functions. Understanding these concepts is crucial for grasping the implications of pseudopotentials in quantum mechanics. The discussion highlights the complexity of wave functions in relation to their nodes and the role of pseudopotentials.
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Node and Nodless wavefunction?

What means Node and nodeless wave functions?

Nawzad A.
 
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Do you know what "nodes" and "antinodes" are in standing waves?

Zz.
 


ZapperZ said:
Do you know what "nodes" and "antinodes" are in standing waves?

Zz.

Yes I know that , I am reading about pseudopotentials and I had faced that ( nodless wavefunctions) but I couldn't imagine how they are?!
 


new_986 said:
Yes I know that , I am reading about pseudopotentials and I had faced that ( nodless wavefunctions) but I couldn't imagine how they are?!
Note that in the context of pseudopotentials "nodeless" means "without /radial/ nodes" (in the one-particle basis functions; and actually, not even that, only the nodes corresponding the the electrons which are actually absorbed in the ECP are removed). The wave function still maintains all the angular nodes which are resulting from the spherical harmonic perfactors of the atomic wave functions.
 

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