论文信息 - Simple derivation of the Newton–Wigner position operator

Simple derivation of the Newton–Wigner position operator

The kind of operator algebra familiar in ordinary quantum mechanics is used to show formally that in an irreducible unitary representation of the Poincare group for positive mass, the Newton–Wigner position operator is the only Hermitian operator with commuting components that transforms as a position operator should for translations, rotations, and time reversal and does not behave in a singular way that contradicts what can be learned from Lorentz transformations in the nonrelativistic limit.

T. F. Jordan

[1] B. Jancewicz. Operator density current and relativistic localization problem , 1977 .

[2] T. F. Jordan. Identification of the velocity operator for an irreducible unitary representation of the Poincaré group , 1977 .

[3] T. F. Jordan. Why −i∇ is the momentum , 1975 .

[4] E. Wigner,et al. Invariant theoretic derivation of the connection between momentum and velocity , 1975 .

[5] H. Moses. Reduction of reducible representations of the poincare group to standard helicity representations , 1968 .

[6] J. Voisin. On Some Unitary Representations of the Galilei Group I. Irreducible Representations , 1965 .

[7] A. Galindo. On the uniqueness of the position operator for relativistic elementary systems , 1965 .

[8] E. Sudarshan,et al. RELATIVISTIC INVARIANCE AND HAMILTONIAN THEORIES OF INTERACTING PARTICLES , 1963 .

[9] A. S. Wightman,et al. On the Localizability of Quantum Mechanical Systems , 1962 .

[10] L. Foldy. RELATIVISTIC PARTICLE SYSTEMS WITH INTERACTION , 1961 .

[11] V. Bargmann,et al. Group Theoretical Discussion of Relativistic Wave Equations. , 1948, Proceedings of the National Academy of Sciences of the United States of America.