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Electrons in a Well Potential: Density of States, Surface Energy, and Phase Rule for Wave Functions
Author(s) -
Paasch G.,
Wonn H.
Publication year - 1975
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2220700215
Subject(s) - surface (topology) , electron , wave function , connection (principal bundle) , energy (signal processing) , surface states , physics , phase (matter) , sum rule in quantum mechanics , density of states , quantum mechanics , atomic physics , mathematics , geometry , quantum chromodynamics
For the problem of electrons in a well potential as a model of a metal with surfaces, exact expressions are derived for the density of states, the surface energy, and for the sum rule for the phases of the wave functions. Incorrect derivations and errors of previous publications are pointed out. The connection between the phase rule and the surface energy is discussed.