Abstract
By considering a random walk model compounded in Einstein's evolution equation, we show that both the classical Schrodinger and Klein-Gordon equations can be viewed a s consequence of introducing a memory function.
The purpose of this is to derive a wave equaiton that, on a phenomenological basis at least, describes the transitional characteristics of wave functions for spin-less particles that may exist in the intermediate of "semi relativistic regime.
| Original language | English |
|---|---|
| Pages (from-to) | 601-615 |
| Journal | Mathematic Aeterna |
| Volume | 3 |
| Issue number | 8 |
| DOIs | |
| Publication status | Published - 1 Jan 2013 |
Keywords
- random walk model
- Einstein's evolution equation
- classical Schrodinger equation
- Klein-Gordon equation
- memory function
- wave equation
- phenomenological basis
- transitional characteristics
- wave functions
- spin-less particles
- semi relativistic regime