The theory of scale relativity generalizes the application domain of Einstein's principle of relativity to scale transformations of space-time resolutions. In this theory, we no longer assume that the space-time continuum is differentiable, this implying its fractal character. Both classical and qua
Schrödinger's equation with Born's guidance
✍ Scribed by G.N. Ord
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 633 KB
- Volume
- 9
- Category
- Article
- ISSN
- 0960-0779
No coin nor oath required. For personal study only.
✦ Synopsis
Schr6dinger's equation may be obtained from the statistical mechanics of random walks, without recourse to guided diffusion. Although quantum mechanics does not follow from this particular result, the exercise of deriving Schr6dinger's equation in a context where it has an unambiguous microscopic model provides some insight into more phenomenological approaches. Brownian motion in time is discussed as a possible bridge between Schr6dinger's equation and quantum mechanics.
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