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I am having trouble understanding what the term 'spatial wiggliness' of the Schrodinger wavefunction.

I knows it is related to the kinetic energy of the particle and is associated with the de Broglie relation. A higher local kinetic energy leads to higher degree of spatial wiggliness.

Jack Jack
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  • When you draw wavefunctions (for, say, a particle in an infinite 1D square well), don’t the higher-energy ones look wigglier to you? – G. Smith Jan 13 '21 at 18:45
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    A formal definition of Wiggliness is the number of zeros in a suitable axis maximizing their number, so, effectively, a number of periods, so effective frequency. There are theorems proving the energy associated with them is a monotonic function of this wiggliness. – Cosmas Zachos Jan 13 '21 at 19:47
  • Linked. – Cosmas Zachos Jan 13 '21 at 19:49

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