5 papers
A Class of Self-Trapped and Self-Focusing Wave Functions in Madelung Fluid Picture of A Single Free Particle Quantum System
Agung Budiyono, Ken Umeno
Using the Madelung fluid picture of Schrödinger equation for a single free particle moving in one spatial dimension, we shall specify a class of wave functions whose quantum probab…
Scale invariant quantum potential leading to globally self-trapped wave function in Madelung fluid
Agung Budiyono
We show in spatially one dimensional Madelung fluid that a simple requirement on local stability of the maximum of quantum probability density will, if combined with the global sca…
On de Broglie's quantum particle as the soliton solution of linear Schrödinger equation
Agung Budiyono
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 ther…
Spatiotemporally-localized-stationary typical wave function satisfying Klein-Gordon equation with emergent mass
Agung Budiyono
Starting from relativistic mass-less Madelung fluid, we shall develop a class of typical wave functions by imposing it to maximize Shannon entropy given its finite average quantum…
On de Broglie's soliton wave function of many particles with finite masses, energies and momenta
Agung Budiyono
We consider a mass-less manifestly covariant {\it linear} Schrödinger equation. First, we show that it possesses a class of non-dispersive soliton solution with finite-size spatio-…