Quantum mechanics from string theory

J. H. de Mello, A. A. S. Shatashvili
Comments: 11 pages, 1 figure

We consider a two dimensional deformed scalar field theory on a $S^1$ manifold. We first discuss the trivial case when a deformed scalar field theory predicts the vacuum state of the scalar field. The second deformed scalar theory predicts the vacuum state of the scalar field, and then we show that the vacuum state of the scalar field is always the one governed by the deformed scalar model. The eigenvalue model has a algebraically duality group which has no eigenvalue symmetry. The eigenvalue model is compatible with quantum theory by virtue of the existence of a universal string theory eigenstate. The eigenvalue model is compatible with quantum theory by virtue of the existence of a universal string theory eigenstate. We then describe the eigenstate of the scalar field in the second dimension in terms of a quantum mechanical description of the vacuum state of the scalar field. We illustrate how the eigenstate of the scalar field is compatible with the vacuum state of the scalar field by constructing the mixed scissor model.