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- W1530400030 abstract "We develop a class of soliton solution of {it linear} Schrodinger equation without external potential. The quantum probability density generates its own boundary inside which there is internal vibration whose wave number is determined by the velocity of the particle as firstly conjectured by de Broglie. Assuming resonance of the internal vibration will lead to quantization of particle's momentum in term of wave number of the envelope quantum probability density. We further show that the linearity of the Schrodinger equation allows us to have non-interacting many solitons solution through superposition, each describing a particle with equal mass." @default.
- W1530400030 created "2016-06-24" @default.
- W1530400030 creator A5021578305 @default.
- W1530400030 date "2007-04-13" @default.
- W1530400030 modified "2023-09-27" @default.
- W1530400030 title "On de Broglie's quantum particle as the soliton solution of linear Schrödinger equation" @default.
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