Symmetries in Isotopic Spin Space and the Charge Operator

B. d'Espagnat; J. Prentki

doi:10.1103/physrev.102.1684

Symmetries in Isotopic Spin Space and the Charge Operator

Physical Review ◽

10.1103/physrev.102.1684 ◽

1956 ◽

Vol 102 (6) ◽

pp. 1684-1685 ◽

Cited By ~ 7

Author(s):

B. d'Espagnat ◽

J. Prentki

Keyword(s):

Isotopic Spin ◽

Spin Space ◽

Charge Operator

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New isotopic spin space and classification of elementary particles

Il Nuovo Cimento ◽

10.1007/bf02725934 ◽

1960 ◽

Vol 18 (2) ◽

pp. 209-228 ◽

Cited By ~ 3

Author(s):

P. Hillion ◽

J. P. Vigier

Keyword(s):

Elementary Particles ◽

Isotopic Spin ◽

Spin Space

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Operators and Observables in Isotopic Spin Space

Physical Review ◽

10.1103/physrev.93.1395 ◽

1954 ◽

Vol 93 (6) ◽

pp. 1395-1400 ◽

Cited By ~ 5

Author(s):

Leslie L. Foldy

Keyword(s):

Isotopic Spin ◽

Spin Space

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A COVARIANT GENERALIZATION OF BERRY’S PHASE

Modern Physics Letters A ◽

10.1142/s0217732389001325 ◽

1989 ◽

Vol 04 (12) ◽

pp. 1143-1149 ◽

Cited By ~ 28

Author(s):

Y.Q. CAI ◽

G. PAPINI

Keyword(s):

Proper Time ◽

Rest Mass ◽

Gauge Fields ◽

Isotopic Spin ◽

Spin Space ◽

Abelian Gauge ◽

Berry's Phase ◽

Berry’S Phase ◽

Degenerate Eigenvalues

A covariant generalization of Berry’s phase is obtained from the proper time Schrödinger equation in which the role of Hamiltonian is played by the rest mass square operator. When this has degenerate eigenvalues, non-Abelian gauge fields arise in the manner shown by Wilczek and Zee for non-relativistic systems. The manifold of degenerate states corresponds to isotopic spin space.

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