Factorization, Algebraization, and Shape Invariance

&
Foundations of Physics 28 (1):107-124 (1998)
  Copy   BIBTEX

Abstract

The notion of shape invariance in supersymmetric quantum mechanics is examined in relation with the generalized oscillator algebra. Shape invariance is reformulated as fermion-number independence of a parameter function and seen as a symmetry under a shape-related parameter transformation. It is also shown how shape invariance is implied in the dynamical group approach

Categories

Keywords

Reprint years

DOI

10.1023/a:1018712621231

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 91,846

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

My notes

Similar books and articles

Frequently Asked Questions About Shape Dynamics.Henrique Gomes & Tim Koslowski - 2013 - Foundations of Physics 43 (12):1428-1458.
Perceived Shape at a Slant as a Function of Processing Time and Processing Load.William Epstein, Gary Hatfield & Gerard Muise - 1977 - Journal of Experimental Psychology: Human Perception and Performance 3:473–483.
Structural representations of objects: Invariance over a shape-distorting transformation.H. J. Hilton & L. A. Cooper - 1996 - In Enrique Villanueva (ed.), Perception. Ridgeview. pp. 48-48.
Seeing Shape: Shape Appearances and Shape Constancy.David J. Bennett - 2012 - British Journal for the Philosophy of Science 63 (3):487-518.
To Cognize is to Categorize: Cognition is Categorization.Stevan Harnad - 2005 - In C. Lefebvre & H. Cohen (eds.), Handbook of Categorization. Elsevier.
Orientation Invariance and Geometric Primitives in Shape Recognition.Martha J. Farah, Robin Rochlin & Karen L. Klein - 1994 - Cognitive Science 18 (2):325-344.
Some aspects of product shape in mechanical engineering.Michael J. Pratt - 2005 - Axiomathes 15 (3):373-397.
The perception of shape.David H. Sanford - 1983 - In Carl Ginet & Sydney Shoemaker (eds.), Knowledge And Mind: Phil Essays. Oxford University Press.
Derivation of the Schrödinger equation.Shan Gao - manuscript
Shape-slant invariance as tested by computer-generated perspective figures by children.Naoyuki Osaka & Mariko Osaka - 1983 - Bulletin of the Psychonomic Society 21 (1):26-28.
Shape: Its development and regulation capacity during embryogenesis.J. Herkovits & J. Faber - 1978 - Acta Biotheoretica 27 (3-4):185-200.
Invariance, symmetries and structural realism.Friedel Weinert - unknown
Gauge invariance, Cauchy problem, indeterminism, and symmetry breaking.Chuang Liu - 1996 - Philosophy of Science 63 (3):79.
Compound objects as particles in quantum mechanics.Alberto Rimini - 1997 - Foundations of Physics 27 (12):1689-1699.
Shape properties, experience of shape and shape concepts.John Campbell - 1996 - Philosophical Issues 7:351-363.

Analytics

Added to PP
2013-11-22

Downloads
90 (#189,444)

6 months
7 (#428,584)

Historical graph of downloads
How can I increase my downloads?

Citations of this work

No citations found.

Add more citations

References found in this work

No references found.

Add more references