Holography and (1+1)-dimension non-relativistic Quantum Mechanics

Details Holography and (1+1)-dimension non-relativistic Quantum Mechanics Holography and (1+1)-dimension non-relativistic Quantum Mechanics

2002-10-13

arxiv.org/abs/hep-th/0210118v2

Physics

High Energy Physics

High Energy Physics - Theory

4 pages, no fig, use revtex4.cls

Scientific paper

I generalize classical gravity/quantum gauge theory duality in AdS/CFT correspondence to (1+1)-dimensional non-relativistic quantum mechanical system. It is shown that (1+1)-dimensional non-relativistic quantum mechanical system can be reproduced from holographic projection of (2+1)-dimension classical gravity at semiclassical limit. In this explanation every quantum path in 2-dimension corresponds to a classical path of 3-dimension gravity under definite holographic projection. I consider free particle and harmonic oscillator as two examples and find their dual gravity description.

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