Abstract
A WAVE equation Hϕ = Eϕ can be written for any trial function ϕ. Only if ϕ is equal to an eigenfunction ψn, however, does E have a constant value (E
n). In general, for any trial function, ϕ, there is a corresponding average energy, E
av., defined by: 
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References
Kinoshita, Phys. Rev., 105, 1490 (1957).
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DICKENS, P., LINNETT, J. & SCHOFIELD, D. Use of Approximate Wave Functions for Extrapolation to True Energy Values. Nature 183, 175–176 (1959). https://doi.org/10.1038/183175a0
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DOI: https://doi.org/10.1038/183175a0
