4 papers · 1 filter
Statistical deviation from stationary action to Schrödinger equation
Agung Budiyono
We discuss the dynamics of single particle by laying a hypothesis that the Hamilton's principle of stationary action is not exact. We then postulate that the deviation of the actio…
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…
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-…