Gaussian Time-Dependent Variational Principle for Bosons |
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Authors: | Arthur K Kerman Paolo Tommasini |
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Institution: | aCenter for Theoretical Physics, Laboratory for Nuclear Science and Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts, 02139;bInstitute for Theoretical Atomic and Molecular Physics, Harvard–Smithsonian Center for Astrophysics, Cambridge, Massachusetts, 02138 |
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Abstract: | We investigate the Dirac time-dependent variational method for a system of non-ideal Bosons interacting through an arbitrary two body potential. The method produces a set of non-linear time dependent equations for the variational parameters. In particular we have considered small oscillations about equilibrium. We obtain generalized RPA equations that can be understood as interacting quasi-bosons, usually mentioned in the literature as having a gap. The result of this interaction provides us with scattering properties of these quasi-bosons including possible bound-states, which can include zero modes. In fact the zero mode bound state can be interpreted as a new quasi-boson with a gapless dispersion relation. Utilizing these results we discuss a straightforward scheme for introducing temperature. |
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