Conformal invariance in quantum mechanics

V. de Alfaro1,2, S. Fubini3, G. Furlan3
1Istituto Nazionale di Fisica Nucleare, Sezione di Torino, Torino, Italia
2Istituto di Fisica Teorica dell’Università, Torino
3CERN

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A sample of recent developments, with abundant references to previous work, is contained in:Scale and Conformal Symmetry in Hadron Physics, edited byR. Gatto (New York, N. Y., 1973); see alsoS. Ferrara, R. Gatto andA. F. Grillo:Conformal Algebra in Space-Time (Berlin, 1973). Earlier references can also be found in the beautiful paper byG. Mack andA. Salam:Ann. of Phys.,53, 174 (1969).

S. Fubini:Nuovo Cimento,34 A, 521 (1976).

For one of the first examples, see,e.g. A. Bastai, L. Bertocchi, S. Fubini, G. Furlan andM. Tonin:Nuovo Cimento,30, 1512 (1963).

See, for instance,B. G. Wybourne:Classical Groups for Physicists (New York, N. Y., 1974).

Ch. P. Boyer andK. B. Wolf:Communicaciones Tecnicas, Vol.6, Serie B, No. 104 (1975).

For instance,G. Herzberg:Atomic Spectra and Atomic Structure (New York, N. Y., 1937).

See,e.g.,A. Erdélyi, W. Magnus, F. Oberhettinger andF. G. Tricomi:Bateman Manuscript Project, Higher Transcendentals Function, Vol.1 (New York, N. Y., 1953).