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Description
The holographic Schrodinger Equation is to hadron physics what the ordinary Schrodinger Equation is to atomic physics. The ordinary Schrodinger Equation emerges from Quantum Electrodynamics in the non-relativistic limit while the holographic Schrodinger Equation emerges from Quantum Chromodynamics, quantized at equal light-front (not ordinary) time, in the so-called semi-classical approximation. Unlike the ordinary Schrodinger Equation, the holographic Schrodinger Equation is Lorentz invariant and remarkably it maps exactly onto the classical wave equation for string modes in an anti-de Sitter 5-dimensional space (and this is why we call it 'holographic'). This is an example of a gauge-gravity duality in which the deformation of the pure anti-de Sitter space drives the interacting potential in ordinary 4 dimensional spacetime. The holographic Schrodinger Equation provides a first approximation to the physics of QCD bound states. Just as for the ordinary Schrodinger Equation, phenomenological corrections, like the spin-orbit interaction, are important to make contact with data and these have been implemented with success. The development of the holographic Schrodinger Equation, which we review here, helps to achieve a better understanding of QCD bound state effects. A quantitative assessment of these effects is crucial when interpreting the recent LHC data on exclusive B meson decays, in the hope to detect New Physics.