量子流体の格子理論

概要

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By using a Hamiltonian expressed in terms of the creation and annihilation operators with respect to a set of wave functions localized in the cells, the lattice theory of liquids is generalized so as to include the inter-cellular motion of particles quantum mechanically. The effect of zero-point motion and of the statistics can be simultaneously taken into account by this procedure. The inter-cellular motion of the molecules is expressed by the non-diagonal terms of the above Hamiltonian especially by its kinetic part. Any configuration obtained by arranging the molecules in the cells has high energy because a molecule artificially confined in a small cell has large zero point energy as a result of the uncertainty principle. The non-diagonal terms lower this zero-point energy, if we take proper linear combination of the configurations. The ground state of the Bose liquid and the lambda transition of liquid helium are discussed on this stand-point.
東京女子大学の論文
1956-03-25