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Quantum Behaviors of Sine-Gordon Two-Soliton Systems

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Using the Hamiltonians H (P, Q) = 2M [ coth Q [ ±1 cash (P/2M), which were previously derived by us for an effective description of the sine-Gordon two-soliton systems, we study the quantum behaviors of the systems by solving the corresponding Schrödinger equations. In particular, we confirm that the exact mass spectrum for the soliton-antisoliton system is identical to that previously derived by semi-classical methods

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