Remarks on the Schrodinger equation

Carroll, Robert

Remarks on the Schrodinger equation

Robert Carroll
(
- Illinois U., Urbana
)

Jan, 2004

33 pages

Published in:

Int.J.Evol.Eq. 1 (2005) 23-56

e-Print:

quant-ph/0401082 [quant-ph]

View in:

ADS Abstract Service

pdf

reference search14 citations

Citations per year

Abstract: (arXiv)

Various origins of linear and nonlinear Schrodinger equations are discussed in connection with diffusion, hydrodynamics, and fractal structure. The treatment is mainly expository, emphasizing the quantum potential, with a few new observations.

Note:

Published in Inter. J. Evolution Equations, 1 (2005), 23-56 •
34 pages, Latex, references and comments added

References(74)

Figures(0)

e-Print:
- quant-ph/0309143

Equivalence principle, higher dimensional Mobius group and the hidden antisymmetric tensor of quantum mechanics

Gaetano Bertoldi
(
- MIT, LNS and
- MIT
)
,
Alon E. Faraggi
(
- Minnesota U.
)
,
Marco Matone
(
- Padua U. and
- INFN, Padua
)

- Class.Quant.Grav. 17 (2000) 3965
•
e-Print:
- hep-th/9909201
•
DOI:
- 10.1088/0264-9381/17/19/302

Nonlinear Wave Mechanics

Iwo Bialynicki-Birula
(
- Pittsburgh U. and
- Warsaw U.
)
,
Jerzy Mycielski
(
- Warsaw U.
)

- Annals Phys. 100 (1976) 62
•
DOI:
- 10.1016/0003-4916(76)90057-9

e-Print:
- quant-ph/0309223

Nonlinear QM as a fractal Brownian motion with complex diffusion constant

e-Print:
- quant-ph/0202026

String theory, scale relativity and the generalized uncertainty principle

Carlos Castro
(
- IAEC, Austin
)

- Found.Phys.Lett. 10 (1997) 273-293
•
e-Print:
- hep-th/9512044
•
DOI:
- 10.1007/BF02764209

Dirac equation in scale relativity

e-Print:
- hep-th/0112213

- Phys.Rev.E 53 4191

e-Print:
- math/0211071

e-Print:
- quant-ph/0106051

e-Print:
- quant-ph/0203018

e-Print:
- cond-mat/0202463

A Geometric origin of the Madelung potential

D.H. Delphenich
(
- Ozarks U.
)

e-Print:
- gr-qc/0211065

A Family of Nonlinear Schrödinger Equations: Linearizing Transformations and Resulting Structure

H.-D. Doebner
(
- Clausthal, Tech. U.
)
,
G.A. Goldin
(
- Rutgers U., Piscataway
)
,
P. Nattermann
(
- Clausthal, Tech. U.
)

- Phys.Rev.A 54 3764

Bohmian mechanics as the foundation of quantum mechanics

D. Durr
(
- Munich U.
)
,
S. Goldstein
(
- Rutgers U., Piscataway
)
,
N. Zanghi
(
- Genoa U. and
- INFN, Genoa
)

e-Print:
- quant-ph/9511016

e-Print:
- quant-ph/0308038

Duality of x and psi and a statistical interpretation of space in quantum mechanics

Alon E. Faraggi
(
- Florida U. and
- CERN
)
,
Marco Matone
(
- Padua U. and
- INFN, Padua
)

- Phys.Rev.Lett. 78 (1997) 163
•
e-Print:
- hep-th/9606063
•
DOI:
- 10.1103/PhysRevLett.78.163

The Equivalence postulate of quantum mechanics

Alon E. Faraggi
(
- Minnesota U.
)
,
Marco Matone
(
- Padua U. and
- INFN, Padua
)

- Int.J.Mod.Phys.A 15 (2000) 1869-2017
•
e-Print:
- hep-th/9809127
•
DOI:
- 10.1142/S0217751X00000811

Differences between trajectory and Copenhagen analyses of an impulse perturbation

Edward R. Floyd

- Int.J.Mod.Phys.A 14 (1999) 1111-1124
•
e-Print:
- quant-ph/9708026
•
DOI:
- 10.1142/S0217751X99000555

Reflection time and the Goos-Hänchen effect for reflection by a semi-infinite rectangular barrier

Edward R. Floyd

- Found.Phys.Lett. 13 (2000) 3, 235-251
•
e-Print:
- quant-ph/9708007
•
DOI:
- 10.1023/A:1007848020324

Extended version of 'The philosophy of the trajectory representation of quantum mechanics'

Edward R. Floyd

- Fundam.Theor.Phys. 126 (2002) 401-408
•
e-Print:
- quant-ph/0009070

Arbitrary Initial Conditions of Nonlocal Hidden Variables

Edward R. Floyd
(
- Naval Ocean Sys. Ctr., San Diego
)

- Phys.Rev.D 29 (1984) 1842
•
DOI:
- 10.1103/PhysRevD.29.1842

HIGHER ORDER MODIFIED POTENTIALS FOR THE EFFECTIVE PHASE INTEGRAL APPROXIMATION

E.R. Floyd

- J.Math.Phys. 20 (1979) 83-85
•
DOI:
- 10.1063/1.523933

- Phys.Lett.A 214 259

1-25 of 74
1
2
3
25 / page