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1989•Progress of Theoretical PhysicsOpen access

Topological CPn-1 Model and Topological Quantum Mechanics

Aiichi Iwazaki

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Abstract

According to a way of the construction of topological quantum field theories in our previous paper, we present two topolotical models; topological CPn -1 model in 2-manifold and topological quantum mechanics. In the topological CPn -1 model we find topological invariants more systematically by using homogeneous coordinates than we do by using local coordinates as in Witten's model. The topological quantum mechanics is completely solvable.

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What this paper is about

According to a way of the construction of topological quantum field theories in our previous paper, we present two topolotical models; topological CPn -1 model in 2-manifold and topological quantum mechanics. In the topological CPn -1 model we find topological invariants more systematically by using homogeneous coordinates than we do by using local coordinates as in Witten's model. The topological quantum mechanics is completely solvable.

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Available abstract

According to a way of the construction of topological quantum field theories in our previous paper, we present two topolotical models; topological CPn -1 model in 2-manifold and topological quantum mechanics. In the topological CPn -1 model we find topological invariants more systematically by using homogeneous coordinates than we do by using local coordinates as in Witten's model. The topological quantum mechanics is completely solvable.

Key concepts: Physics, Topological entropy in physics, Topological quantum number, Topological degeneracy, Topological quantum field theory, Symmetry protected topological order, Topological order, Topology (electrical circuits)

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