Tan's adiabatic sweep theorem from the variational theorem for the scattering length
نویسندگان
چکیده
It is shown that variation of the one-particle dispersion in a universal many-body system enables us to obtain Tan's adiabatic sweep theorem and its generalization. The derivation based on Hellmann-Feynman variational for scattering length suggested our previous paper [Cherny Shanenko, Phys. Rev. E 62, 1646 (2000)]. As an example, effects spinless bosons are considered. With help theorem, we mean kinetic interaction energies derive virial homogeneous trapped bosons. results can easily be generalized two-component fermions with interactions between opposite spins.
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ژورنال
عنوان ژورنال: Physical review
سال: 2021
ISSN: ['0556-2813', '1538-4497', '1089-490X']
DOI: https://doi.org/10.1103/physreva.104.043304