Chronology |
Current Month |
Current Thread |
Current Date |

[Year List] [Month List (current year)] | [Date Index] [Thread Index] | [Thread Prev] [Thread Next] | [Date Prev] [Date Next] |

*From*: Bernard Cleyet <anngeorg@PACBELL.NET>*Date*: Sat, 21 Feb 2004 10:20:03 -0800

The first result in my G * . search is:

<... According to Schroedinger's ideas [bc emphasis], classical

dynamics of point particles should correspond to the " geometrical

optics " limit of a linear wave equation, in the same way as ray optics

is the limit of wave optics. It is shown that, using notions of modern

wave theory, the " geometrical optics " analogy leads to the

correspondence between a classical Hamiltonian H and a " quantum " wave

equation in a natural and general way. In particular, the correspondence

is unambiguous also in the case where H contains mixed terms involving

momentum and position. In the line of Schroedinger's ideas, it is also

attempted to justify the occurrence, in QM, of eigenvalues problems, not

merely for energy, but also for momentum. It is shown that the wave

functions of pure momentum states can be defined in a physically more

satisfying way than by assuming plane waves. In the case of a spatially

uniform force field, such momentum states have a singularity and move

unreformed according to Newton's second law. ...>

http://arxiv.org/abs/gr-qc/0203104

I think this book (follows result # 6>) is likely among the better

expositions of his development.

http://www.yurinsha.com/342/p11.htm

*

http://www.google.com/search?hl=en&ie=ISO-8859-1&q=origin+theory+schroedinger+wave+mechanics&btnG=Google+Search

<http://www.google.com/search?hl=en&ie=ISO-8859-1&q=origin+theory+schroedinger+wave+mechanics&btnG=Google+Search>

bc

p.s. For heuristic purpose, Eisberg devotes ~ 6 pp. (section 5.2 of

"Quantum Physics of Atoms, etc.) to: "Now the first problem at hand is

not how to solve a certain differential equation; instead, the problem

is how to "find" the equation."

Larry Smith wrote:

One of my intro Modern Physics texts says regarding the genesis (origin) of

the Schro[e]dinger wave equation "Like the classical wave equation, the

Schrodinger equation relates the time and space derivatives of the wave

function. Schrodinger's reasoning is somewhat difficult to follow and is

not important for our purposes. In any case, the Schrodinger equation

cannot be derived, just as Newton's laws of motion cannot be derived."

Can the list give me a sense of Schrodinger's line of reasoning in

developing his wave equation?

Thanks,

Larry

- Prev by Date:
**Re: equipotentials** - Next by Date:
**Snapped towel (shock wave)** - Previous by thread:
**Re: Schrodinger equation origins** - Next by thread:
**Re: Schrodinger equation origins** - Index(es):