Herring References

Prof. Robert B. Laughlin
Department of Physics, Stanford University
Stanford, CA 94305

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A312 - Symmetry and Conservation Laws

Properties of the Rotation Group
	J. M. Keller, "Note on Reduction for the Rotation Group," Phys. Rev. 55, 508 (1939).
	E. Schrödinger, Proc. Roy. Irish Acad. 47, 39 (1941).
	J. Takahashi, "Generalized Spherical Harmonics as Representation Matrix Elements of Rotation Group," J. Phys. Soc. Jpn. 7, 307 (1952).
	R. L Guernsey and G. B. Aftken, "A Vector Addition Coefficient Identity," Phys. Rev. 92, 1270 (1953).
	F. Berencz and R. Pauncz, "Construction of S2 Eigenfunctions by Method of Spin Operators. I. General Theory," Proc. Phys. Soc. A 71, 145 (1958).
	A. Meckler, "Majorana Formula," Phys. Rev. 111, 1447 (1958).
	V. K. Perel, Zh. Eksp. Teor. Fiz. 35, 685 (1958).
	M. Rotenberg, R. Biyins, N. Metropolis and J. K. Wooten, The 3-J and 6-J Symbols (MIT, 1960).
	E. Ambler, J. C. Eisenstein and J. F. Schooley, "Traces of Products of Angular Momentum Matrices," J. Math. Phys. 3, 118 (1962).
	M. E. Rose, "Properties of the Irreducible Angular Momentum Tensors," J. Math. Phys. 3, 409 (1962).
	W. T. Sharp, Racah Algebra and the Contraction of Groups, Report AECL-1098, CRT-935 (Atomic Energy of Canada, 1960).
	V. Bargmann, "On the Representations of the Rotation Group," Rev. Mod. Phys. 34, 829 (1962).
	S. L. Altmann, "On the Symmetries of Spherical Harmonics," Proc. Camb. Phil. Soc. 53, 343 (1957).
	S. L. Altmann and C. J. Bradley, "On the Symmetries of Spherical Harmonics," Phil. Trans. London A 255, 193 (1963).
	D. M. Brink and G. R. Satchler, Angular Momentum (Oxford, 1971).
	P. Seagrave, "Representation of Permutation Operators in Quantum Mechanics," Nucl. Phys. 80, 674 (1966).
	J.-N. Massot, E. El-Baz and J. Lafoucrière, "A General Graphical Method for Angular Momentum," Rev. Mod. Phys. 39, 288 (1967).
	Y. Aharonov and L. Susskind, "Observability of the Change of Spinors Under 2π Rotations," Phys. Rev. 158, 1237 (1967).
	H. J. Bernstein, "Spin Precession During Interferometry of Fermions and the Phase Factor Associated with Rotations Through 2π Radians," Phys. Rev. Lett. 18, 1102 (1967).
	F. Bloch et al, eds., Spectroscopic and Group Theoretical Methods in Physics (North Holland, 1968).
	P. H. Butler, Point Group Symmetry Applications: Methods and Tables (Plenum, 1981).
	L. C. Biedenham and J. D. Louck, The Racah-Wigner Algebra in Quantum Theory (Addison-Wesley, 1981).
	F. Wilczek, "Quantum Mechanics of Fractional-Spin Particles," Phys. Rev. Lett. 49, 957 (1982).
	R. Jackiw and A. N. Redlich, "Two-Dimensional Angular Momentum in the Presence of Long-Range Magnetic Flux," Phys. Rev. Lett. 50, 555 (1983).
Properties of the Lorentz Group
	I. M. Gelfand and M. A. Neumark, "Unitary Representations of the Lorentz Group," J. Phys. USSR 10, 93 (1946).
	Harish-Chandra, "Infinite Irreducible Representations of the Lorentz Group," Proc. Roy. Soc. A 189, 372 (1947).
	E. P. Wigner, "On the Unitary Representations of the Inhomogeneous Lorentz Group," Ann. Math. 40, 149 (1939).
	P. A. M. Dirac, "Application of Quaternions to Lorentz Transformations," Proc. Roy. Irish Acad. 50, 261 (1945).
	R. Potier, Comptes Rendus Acad. Sci. 224, 1332 (1947).
	E. L. Hill, "On the Formal Extension of Dirac's Equation Under Continuous Transformation Groups," Phys. Rev. 73, 910 (1948).
	V. Bargmann, "Irreducible Unitary Representations of the Lorentz Group," Ann. Math. 48, 568 (1947).
	P. A. M. Dirac, "Unitary Representation of the Lorentz Group," Proc. Roy. Soc. A 183, 284 (1944).
	W. Wessel, "On Infinite Relativistic Particle Matrices," Phys. Rev. 76, 1512 (1949).
	Y. M. Shirokov, Zh. Eksp. Teor. Fiz. 33, 1196 (1957)[ Sov. Phys. JETP 6, 919 (1958)].
	Y. M. Shirokov, Zh. Eksp. Teor. Fiz. 33, 1208 (1957)[ Sov. Phys. JETP 6, 929 (1958)].
	W. T. Payne, "Spinor Theory and Relativity. I.," Am. J. Phys. 23, 526 (1955).
	W. T. Payne, "Spinor Theory and Relativity. II.," Am. J. Phys. 27, 318 (1957).
	J. S. Lamont, "Decomposition of Direct Products of Representations of the Inhomogeneous Lorentz Group," J. Math. Phys. 1, 237 (1960).
	W. Wessel, Z. Naturforschung 3a, 559 (1948).
	E. Bopp, Z. Naturforschung 3a, 564 (1948).
	E. Inonu and E. P. Wigner, "On the Contraction of Groups and Their Representation," Proc. Natl. Acad. Sci. 39, 510 (1953).
	V. Bargmann and E. P. Wigner, "Group Theoretical Description of Relativistic Wave Equations," Proc. Natl. Acad. Sci. 34, 211 (1948).
	W. Pauli, Continuous Groups in Quantum Mechanics, CERN Report 56-31 (CERN, 1956).
	C. Fronsdal, "Unitary Irreducible Representations of the Lorentz Group," Phys. Rev. 113, 1367 (1959).
	A. Barut and A. S. Wightman, "Relativistic Invariance and Quantum Mechanics," Nuovo Cimento Suppl. 14, 81 (1959).
	P. Roman, Theory of Elementary Particles (Interscience, 1960).
	B. Kursnoglu, "Complex Orthogonal and Antiorthogonal Representation of the Lorentz Group," J. Math. Phys. 2, 22 (1961).
	D. W. Robinson, "Zero-Mass Representations of the Inhomogeneous Lorentz Group," Helv. Phys. Acta 35, 98 (1962).
	W. E. Brittin and L. Marshall, eds., Lectures in Theoretical Physics (Univ. of Colorado, 1965).
Time-Reversal Symmetry
	J. Schwinger, "Theory of Quantized Fields. I," Phys. Rev. 82, 914 (1951).
	S. Watanabe, "Reversibility of Quantum Electrodynamics," Phys. Rev. 82, 1008 (1951).
	G. Lüders, Z. Phys. 82, 1008 (1951).
	H. A. Jahn, Proc. Roy. Soc. A 164, 117 (1938).
	G. Morpurgo, I. A. Radicati and B. F. Touschek, "On Time Reversal. II," Nuovo Cimento 12, 677 (1954).
	S. Watanabe, "Symmetry of Physical Laws Part I: Symmetry in Space-Time and Balance Theorems," Rev. Mod. Phys. 27, 26 (1955).
	S. Watanabe, "Symmetry of Physical Laws Part II: Q-Number Theory of Space-Time Inversions and Charge Conjugation," Rev. Mod. Phys. 27, 40 (1955).
	S. Watanabe, "Symmetry of Physical Laws Part III: Prediction and Retrodiction," Rev. Mod. Phys. 27, 179 (1955).
	G. Lüders, "On the Equivalence of Invariance Under Time Reversal and Under Particle-Antiparticle Conjugation for Relativistic Field Theories," Kgl. Danske Vid. Selsk. Mat.-Fys. Med. 7, 1 (1954).
	H. Umezawa, S. Kamefuchi and S. Tanaka, "On Time Reversal in the Quantized Field Theory," Prog. Theor. Phys. 12, 383 (1954).
	J. S. Bell, "Time Reversal in Field Theory," Proc. Roy. Soc. A 231, 479 (1955).
	F. A. Kaempffer, "Representation of Space Inversion, Time Reversal, and Particle Conjugation in Quantum Field Theory," Can. J. Phys. 39, 22 (1961).