A new many-body solution of the Friedel resonance problem
نویسنده
چکیده
It is numerically shown that the groundstate ofthe Friedel problem (consisting of a conduction band and a d resonance), occupied with (n+ I) electrons, can be written as If/ = (Aoo+Bd*) rr=1 o~Po, where ail represents a localized conduction electron state, d* is the Friedel resonance state and TI~=1 a7,po is a Slater determinant of n single electron states it7, (po is the vacuum state). The 07 together with oil are part of a full ortho-norrnalized basis of the conductions band. PACS: 71.1O.+x; 71.55.-i The Friedel resonance [1] is a classical problem in solid state physics. It describes a band of free electrons which interact with a resonance state, for example a d* state. The Hamiltonian has the form:
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