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Abstract

Although Cartesian tensors lead to a direct physical apprehension in terms of direction cosines it might be more convenient to express tensors in a spherical basis, when rotations are involved. We therefore introduce a spherical representation of second rank tensors here.

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References

  1. Rose, M.E.: Elementary Theory of Angular Momentum. New York: J. Wiley 1967

    Google Scholar 

  2. Brink, D.M., Satchler, G.R.: Angular Momentum. London: Oxford Univ. Press 1968

    Google Scholar 

  3. Cook, R.L., De Lucia, F.C.: Am. J. Phys. 39, 1433 (1971)

    Article  CAS  Google Scholar 

  4. Abragam, A.: Principles of Nuclear Magnetism, Chap. IV. London: Oxford Univ. Press 1961

    Google Scholar 

  5. Bosse, J.: DFG-Conference on Magnetic Relaxation. Hirschegg, Austria, Sept. 1974

    Google Scholar 

  6. Mansfield, P.: Progr. Nucl. Magn. Res. 8, 43 (1971)

    Article  Google Scholar 

  7. Magnus, W.: Com. Pure Appl. Math. 7, 649 (1954)

    Article  Google Scholar 

  8. Pechukas, P., Light, F.C.: J. Chem. Phys. 44, 3897 (1966)

    Article  Google Scholar 

  9. Wilcox, R.M.: J. Math. Phys. 8, 962 (1967)

    Article  CAS  Google Scholar 

  10. Haeberlen, U., Waugh, J.S.: Phys. Rev. 175, 453 (1968)

    Article  CAS  Google Scholar 

  11. Haeberlen, U.: Advan. Magn. Res. supplement. New York: Academic Press 1976

    Google Scholar 

  12. Fano, U.: Rev. Mod. Phys. 29, 74 (1957)

    Article  Google Scholar 

  13. Shimizu, T.: J. Phys. Soc. Jpn. 28, 790 (1970);

    Article  Google Scholar 

  14. Shimizu, T.: J. Phys. Soc. Jpn. 28, 811 (1970)

    Article  Google Scholar 

  15. Demco, D., Tegenfeldt, J., Waugh, J.S.: Phys. Rev. B11, 4133 (1975)

    Google Scholar 

  16. Zwanzig, R.: Lectures in Theoretical Physics. New York: Interscience 1961

    Google Scholar 

  17. Mori, H.: Progr. Theor. Phys. Jpn. 34, 399 (1965)

    Article  Google Scholar 

  18. Lado, F., Memory, J.D., Parker, G.W.: Phys. Rev. B4, 1406 (1971)

    Google Scholar 

  19. Parker, G.W., Lado, F.: Phys. Rev. B8, 3081 (1973)

    Google Scholar 

  20. Slichter, C.P., Ailion, D.G.: Phys. Rev. 135 A, 1099 (1964)

    Article  Google Scholar 

  21. Wolf, D.: Spin-Temperature and Nuclear-Spin Relaxation in Matter. Clarendon Press: Oxford 1979

    Google Scholar 

  22. Bialynicki-Birula, I., Mielnik, B., Plebanski, J.: Ann. of Phys. 51, 187 (1969)

    Article  Google Scholar 

  23. Dyson, F.J.: Phys. Rev. 75, 486 (1949)

    Article  Google Scholar 

  24. Schwinger, J.: Phys. Rev. 74, 1439 (1948)

    Article  Google Scholar 

  25. Grupp, H.: German translation of reference 17 (private communication)

    Google Scholar 

  26. Buishvili, L.L., Menabde, M.G.: Sov. Phys. JETP 50, 1176 (1979)

    Google Scholar 

  27. Bogolubov, N.N., Mitropolsky, Y.A.: Asymptotic methods in the theory of non-linear oscillations. New York: Gordon and Breach (1961)

    Google Scholar 

  28. Bloch, F, Siegert, A.: Phys. Rev. 57, 552 (1940)

    Article  Google Scholar 

  29. Spiess, H.W.: Rotation of molecules and nuclear spin relaxation, in NMR: Basic Principles and Progress, Vol. 15, p. 55. Berlin-Heidelberg-New York: Springer 1978

    Google Scholar 

  30. Blicharski, J.S.: Acta Phys. Polon. A41, 223 (1972)

    Google Scholar 

  31. Blicharski, J.S.: Z. Naturforsch. 27A, 1355 (1972)

    Google Scholar 

  32. Blicharski, J.S.: Z. Naturforsch. 27A, 1456 (1972)

    Google Scholar 

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© 1983 Springer-Verlag Berlin Heidelberg

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Mehring, M. (1983). Appendix. In: Principles of High Resolution NMR in Solids. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-68756-3_9

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  • DOI: https://doi.org/10.1007/978-3-642-68756-3_9

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-68758-7

  • Online ISBN: 978-3-642-68756-3

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