2007/04/13 by Agus Budiyono, Agung Budiyono, Budiyono, Agung
Engineering · Physics and Astronomy · #FOS: Physical sciences #General Physics (physics.gen-ph) #Photonic and Optical Devices #physics.gen-ph
paper · pdf · doi:10.48550/arxiv.0704.1726
14 pages, content changed
openalex publication_date 2007/04/13 · arxiv created 2009/08/19 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We develop a class of soliton solution of \it linear Schrödinger 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 Schrödinger equation allows us to have non-interacting many solitons solution through superposition, each describing a particle with equal mass.