Summary
Using the newU-matrix theory in quantum mechanics developed recently by the authors, we study the energy expectation of one-dimensional electron gas interacting through a pairwise potential identical to the one used by Tomonaga. Our result is different from that obtained by Mahan using the same Hamiltonian. We analyse the source of difference—arising basically from the transformation of a fermion system to a boson system.
Riassunto
Usando la nuova teoria della matriceU nella meccanioa quantistica sviluppata recentemente dagli autori, si studia il valore di aspettazione dell’energia del gas unidimensionale di elettroni che interagiscono attraverso un Potenziale del tipo a coppie identico a quello usato da Tomonaga. Il nostro risultato è diverso da quello ottenuto da Mahan usando la stessa hamiltoniana. Si analizza l’origine della differenza—dovuta fondamentalmente alla trasformazione di un sistema di fermioni in un sistetna di bosoni.
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Lam, C.C., Fung, P.C.W. Energy of an interacting electron gas system based on the newU-matrix theory. Nuov Cim B 95, 171–193 (1986). https://doi.org/10.1007/BF02749009
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DOI: https://doi.org/10.1007/BF02749009