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We develop a class of soliton solution of {\it linear} Schr\"odinger equationwithout external potential. The quantum probability density generates its ownboundary inside which there is internal vibration whose wave number isdetermined by the velocity of the particle as firstly conjectured by deBroglie. Assuming resonance of the internal vibration will lead to quantizationof particle's momentum in term of wave number of the envelope quantumprobability density. We further show that the linearity of the Schr\"odingerequation allows us to have non-interacting many solitons solution throughsuperposition, each describing a particle with equal mass.

On de Broglie's quantum particle as the soliton solution of linear Schr\"odinger equation