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Abstract
An orthonormal set of functions is defined on a von Neumann lattice in phase space. There is one function assigned to each unit cell of area h. The functions are of the Wilson type in that in the x-direction they are obtained from one another by uniform translations, while in the p-direction they are double-peaked, and cannot be obtained by translations. A similar construction is also carried out with the x- and p-axes interchanged. The results apply to any dimension. An explicit example is worked out for the ground state of a harmonic oscillator, and a relation to coherent states is pointed out.
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