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- W2921368276 abstract "Analytic expressions for the energy eigenvalues and eigenfunctions of a one-dimensional harmonic crystal are obtained. It is shown that the phonon statistics differ between bosons and fermions. The average energy and density profiles are obtained numerically as a function of temperature. A surprisingly large number of energy levels (eg. 5,000 for 4 particles) are required for reliable results at even moderate temperatures. Differences between fully symmetric and anti-symmetric spinless wave functions are quantified in the high density and low coupling regimes. The localized nature of wave function symmetrization is demonstrated. Appended are generic discussions of non-symmetric Hamiltonian operator and fermionic phonons, the symmetrization for multi-particle states, and the symmetrization factorization of spin and position wave functions." @default.
- W2921368276 created "2019-03-22" @default.
- W2921368276 creator A5025489355 @default.
- W2921368276 date "2019-03-16" @default.
- W2921368276 modified "2023-09-27" @default.
- W2921368276 title "Fermionic Phonons: Exact Analytic Results and Quantum Statistical Mechanics for a One Dimensional Harmonic Crystal" @default.
- W2921368276 hasPublicationYear "2019" @default.
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