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arxiv: 1105.6076 · v3 · pith:I4JUGJF4new · submitted 2011-05-30 · 🪐 quant-ph · math-ph· math.MP

M-Particle Quantum Walks with Delta-Interaction

classification 🪐 quant-ph math-phmath.MP
keywords analyticdelta-interactionwalkanalysisasymptoticc-deltacaseconsider
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We consider directional correlations between M-particles on a line. For non-interacting particles we find analytic asymptotic expressions. When delta-interaction is introduced in the model we study the Fourier analysis and obtain general analytic formula for the wave function of the walk in the case M is 2 for the transformation C-delta, which can be considered an unfactorized version of the Hadamard walk in two-dimensions.

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