Skip to main content

N-level systems and applications to spectroscopy

  • Chapter
  • First Online:
Quantum Dynamical Semigroups and Applications

Part of the book series: Lecture Notes in Physics ((LNP,volume 286))

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. E. B. Davies, Quantum Theory of Open Systems (Academic, New York, 1976).

    Google Scholar 

  2. V. Gorini, A. Frigerio, M. Verri, A. Kossakowski and E.C.G. Sudarshan, Rep. Math. Phys. 13, 149 (1978).

    Google Scholar 

  3. H. Spohn and J.L. Lebowitz, in Advances in Chemical Physics, edited by S.A. Rice (Wiley, New York, 1978), Vol. 38.

    Google Scholar 

  4. R. Davidson and J.J. Kozak, J. Math. Phys. 11, 189 (1970).

    Google Scholar 

  5. K. Lendi, J. Chem. Phys. 67, 4774 (1977).

    Google Scholar 

  6. R. Dümcke and H. Spohn, Z. Phys. B34, 419 (1979).

    Google Scholar 

  7. K. Lendi and M. Rothier do Amaral Jr., Rev. Bras. de Fisica 13, 294 (1983).

    Google Scholar 

  8. H. Haken, Handbuch der Physik (Springer, Berlin, 1970), Vol. XXV/2c.

    Google Scholar 

  9. G.S. Agarwal, Quantum Optics, in Springer Tracts in Modern Physics (Springer, Berlin, 1974), Vol. 70.

    Google Scholar 

  10. J.I. Steinfeld, Ed., Laser and Coherence Spectroscopy (Plenum, New York, 1978).

    Google Scholar 

  11. L. Mandel and E. Wolf, Eds., Coherence and Quantum Optics (Plenum, New York, 1978) Vol, IV.

    Google Scholar 

  12. A. Abragam, The Principles of Nuclear Magnetism (Oxford University Press, London, 1961).

    Google Scholar 

  13. L. Allen and J.H. Eberly, Optical Resonance in Two-Level Atoms (Wiley, New York, 1975).

    Google Scholar 

  14. V. Gorini, A. Kossakowski and E.C.G. Sudarshan, J. Math. Phys. 17, 821 (1976).

    Google Scholar 

  15. A. Kossakowski, Bull. Acad. Pol. Sci., Ser. Sci. Math. Astron. Phys. 20, 1021 (1972).

    Google Scholar 

  16. A. Kossakowski, Rep. Math. Phys. 3, 247 (1972).

    Google Scholar 

  17. E.B. Davies, Commun. Math. Phys. 39, 91 (1974).

    Google Scholar 

  18. E.B. Davies, Math. Ann. 219, 147 (1976).

    Google Scholar 

  19. K. Hepp and E.H. Lieb, Helv. Phys. Acta 46, 573 (1973).

    Google Scholar 

  20. V. Gorini and A. Kossakowski, J. Math. Phys. 17, 1298 (1976).

    Google Scholar 

  21. H.R. Schwarz, H. Rutishauser and E. Stiefel, Numerik symmetrischer Matrizen (Teubner, Stuttgart, 1972).

    Google Scholar 

  22. F.R. Gantmacher, Matrizenrechnung (VEB Deutscher, Berlin, 1958) Teil I.

    Google Scholar 

  23. E. Stiefel and A. Fässler, Gruppentheoretische Methoden und ihre Anwendung (Teubner, Stuttgart, 1979).

    Google Scholar 

  24. L.S. Pontryagin, Topological Groups (Gordon and Breach, New York, 1966).

    Google Scholar 

  25. H. Georgi, Lie Algebras in Particle Physics (Benjamin, London, 1982).

    Google Scholar 

  26. G. Lindblad, Commun. Math. Phys. 48, 119 (1976).

    Google Scholar 

  27. P.D. Lax, Comm. Pure Appl. Math. 21, 467 (1968).

    Google Scholar 

  28. J. Moser, in Dynamical Systems, ed. by J. Moser and S.E. Newhouse (Birkhäuser, Boston, 1980).

    Google Scholar 

  29. M. Braun, Differential Equations and Their Applications (Springer, New York, 1978).

    Google Scholar 

  30. A. Uhlmann, Wiss. Z. Karl-Marx-Univ. Leipzig, 20, 633 (1971); 21, 427 (1972); 22, 139 (1973).

    Google Scholar 

  31. H. Spohn, Rep. Math. Phys. 10, 189 (1976).

    Google Scholar 

  32. K. Lendi, J. Phys. A: Math. Gen. 20, 15 (1987).

    Google Scholar 

  33. C. Favre and J.-P. Marchand, Helv. Phys. Acta 39, 5 (1966).

    Google Scholar 

  34. V. Gorini and E.C.G. Sudarshan, in Lecture Notes in Physics (Springer, Berlin, 1974) Vol. 29, p. 260.

    Google Scholar 

  35. R. Alicki, Rep. Math. Phys. 10, 249 (1976).

    Google Scholar 

  36. A. Kossakowski, A. Frigerio, V. Gorini and M. Verri, Commun. Math. Phys. 57, 97 (1977).

    Google Scholar 

  37. H. Spohn, Lett. Math. Phys. 2, 33 (1977).

    Google Scholar 

  38. H. Spohn, J. Math. Phys. 19, 1227 (1978).

    Google Scholar 

  39. S.R. de Groot and P. Mazur, Non-Equilibrium Thermodynamics (North-Holland, Amsterdam, 1962).

    Google Scholar 

  40. G. Nicolis and I. Prigogine, Self-Organization in Nonequilibrium Systems (Wiley, New York, 1977).

    Google Scholar 

  41. R. Jost, Quantenmechanik II (ETH Zürich, 1973).

    Google Scholar 

  42. W. Thirring, Lehrbuch der Mathematischen Physik (Springer, Wien, 1980) Vol. 4.

    Google Scholar 

  43. G. Lindblad, Non-Equilibrium Entropy and Irreversibility (Reidel, Dordrecht, 1983).

    Google Scholar 

  44. K. Lendi, Phys. Rev. A 34, 662 (1986).

    Google Scholar 

  45. G. Lindblad, Commun. Math. Phys. 40, 147 (1975).

    Google Scholar 

  46. R. Alicki, J. Phys. A: Math. Gen. 12, L 103 (1979).

    Google Scholar 

  47. G.A. Raggio and H. Primas, Found. Phys. 12, 433 (1982).

    Google Scholar 

  48. C.P. Poole, Jr., and H.A. Farach, The Theory of Magnetic Resonance (Wiley, New York, 1972).

    Google Scholar 

  49. J.D. Macomber, The Dynamics of Spectroscopic Transitions (Wiley, New York, 1976).

    Google Scholar 

  50. J. Pöttinger, Diploma-Thesis, University of Zürich (1983).

    Google Scholar 

  51. K. Lendi, Chem. Phys. 46, 179 (1980).

    Google Scholar 

  52. J. Pöttinger and K. Lendi, Phys. Rev. A31, 1299 (1985).

    Google Scholar 

  53. R. Balian, S. Haroche and S. Liberman, Eds., Frontiers in Laser Spectroscopy (North-Holland, Amsterdam, 1977), Vol. I + II.

    Google Scholar 

  54. M. Abramowitz and I.A. Segun, Eds., Handbook of Mathematical Functions (Dover, New York, 1965).

    Google Scholar 

  55. K. Lendi, Phys. cond. Matter 17, 215 (1974).

    Google Scholar 

  56. W.E. Lamb, Jr., Phys. Rev. 134, A 1429 (1964).

    Google Scholar 

  57. M. Sargent III, M.O. Scully and W.E. Lamb, Jr., Laser Physics (Addison-Wesley, London, 1974).

    Google Scholar 

  58. K. Lendi, Nuovo Cimento B 63, 276 (1981).

    Google Scholar 

  59. K. Lendi, Helv. Chim. Acta 65, 2338 (1982).

    Google Scholar 

  60. K. Lendi, J. Chem. Phys. 82, 1153 (1985).

    Google Scholar 

  61. F.T. Arecchi, R. Bonifacio and M.O. Scully, Eds., Coherence in Spectroscopy and Modern Physics (Plenum Press, New York, 1978).

    Google Scholar 

  62. W. Hanle and H. Kleinpoppen, Eds., Progress in Atomic Spectroscopy (Plenum Press, New York, 1978), Parts A and B.

    Google Scholar 

  63. G. Grynberg and R. Stora, Eds., New Trends in Atomic Physics (North-Holland, 1984), Vols. I and II.

    Google Scholar 

  64. K. Lendi, P. Gerber and H. Labhart, Chem. Phys. 18, 449 (1976) and Chem. Phys. 20, 145 (1977).

    Google Scholar 

  65. K. Lendi, Chem. Phys. Letters 50, 485 (1977).

    Google Scholar 

  66. E.B. Davies and H. Spohn, J. Stat. Phys. 19, 511 (1978).

    Google Scholar 

  67. G. Kielau and P.M. Alberti, Wiss. Z. Karl-Marx-Univ. Leipzig, Math.-Naturwiss. R. 33, 32 (1984).

    Google Scholar 

  68. K. Lendi, J. Mol. Struct. 142, 331 (1986).

    Google Scholar 

  69. K. Lendi, Phys. Rev. A33, 3358 (1986).

    Google Scholar 

  70. A.G. Redfield, Phys. Rev. 98, 1787 (1955).

    Google Scholar 

  71. R.G. de Voe and R.G. Brewer, Phys. Rev. Lett. 50, 1269 (1983).

    Google Scholar 

  72. A. Schenzle, M. Mitsunaga, R.G. de Voe and R.G. Brewer, Phys. Rev. A32, 992 (1985).

    Google Scholar 

  73. P.A. Martin, Modèles en Mécanique Statistique des Processus Irréversibles, in: Lecture Notes in Physics, Vol. 103 (Springer, Berlin, 1979).

    Google Scholar 

  74. G. Raggio, Lecture Notes on “Offene Systeme und dynamische Halbgruppen” (ETH Zürich, 1981, unpublished).

    Google Scholar 

  75. L. van Hove, Phys. Rev. 95, 249 (1954).

    Google Scholar 

  76. L. van Hove, Phys. Rev. 95, 1374 (1954).

    Google Scholar 

  77. F. Bloch, Z. Physik 61, 206 (1930).

    Google Scholar 

  78. J. van Kranendonk and J.H. van Vleck, Rev. Mod. Phys. 30, 1 (1958).

    Google Scholar 

  79. C. Kittel, Quantum Theory of Solids (Wiley, New York, 1964).

    Google Scholar 

  80. A. Wehrl, Rev. Mod. Phys. 50, 221 (1978).

    Google Scholar 

  81. E.H. Lieb and M.B. Ruskai, J. Math. Phys. 14, 1938 (1973).

    Google Scholar 

  82. N.F.G. Martin and J.W. England, Mathematical Theory of Entropy (Addison-Wesley, Reading, 1981).

    Google Scholar 

  83. Note the mistake in formula (11) of Ref. 44.

    Google Scholar 

  84. R. Alicki, Physica 96A, 506 (1979).

    Google Scholar 

  85. R. Alicki, J. Stat. Phys. 20, 671 (1979).

    Google Scholar 

  86. K. Lendi (to be published).

    Google Scholar 

  87. I.S. Gradshteyn and I.M. Ryzhik, Table of Integrals, Series, and Products (Academic Press, New York, 1965).

    Google Scholar 

Download references

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 1987 Springer-Verlag

About this chapter

Cite this chapter

Lendi, K. (1987). N-level systems and applications to spectroscopy. In: Quantum Dynamical Semigroups and Applications. Lecture Notes in Physics, vol 286. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-18276-4_6

Download citation

  • DOI: https://doi.org/10.1007/3-540-18276-4_6

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-18276-4

  • Online ISBN: 978-3-540-47855-3

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics