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Oscillator-Like Hamiltonians and Squeezing

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Abstract

Generalizing a recent proposal leading to one-parameter families of Hamiltoniansand to new sets of squeezed states, we construct larger classes of physicallyadmissible Hamiltonians permitting new developments in squeezing. We alsodiscuss coherence.

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REFERENCES

  1. J. Beckers, N. Debergh, and F.H. Szafraniec (1998). Phys.Lett.A 243, 256; (1998) 246, 561.

    Google Scholar 

  2. J. R. Klauder and B. S. Skagerstam, Coherent States, Applications in Physics and Mathematical Physics (World Scientific, Singapore, 1985); A. M. Perelomov, Generalized Coherent States and Their Applications (Springer, Berlin, 1986); W.-M. Zhang, D. H. Feng, and R. Gilmore (1990). Rev.Mod.Phys. 62, 867.

    Google Scholar 

  3. H. P. Yuen (1976). Phys.Rev.A 13, 2226.

    Google Scholar 

  4. H. N. Hollenhorst (1979). Phys.Rev.D 19, 1669.

    Google Scholar 

  5. R. E. Slusher, L. W. Hollberg, B. Yurke, J. C. Mertz, and J. F. Valley (1985). Phys.Rev.Lett. 55, 2409.

    Google Scholar 

  6. E. P. Wigner (1950). Phys.Rev. 77, 711.

    Google Scholar 

  7. W. Magnus, F. Oberhettinger, and R. P. Soni, Formulas and Theorems for the Special Functions of Mathematical Physics, 3rd ed. (Springer, Berlin, 1966).

    Google Scholar 

  8. A. Z. Capri, Nonrelativistic Quantum Mechanics, (Benjamin, 1985).

  9. C. M. Bender and S. Boettcher (1998). Phys.Rev.Lett. 80, 5243.

    Google Scholar 

  10. F. H. Szafraniec (2000). Yet another face of the creation operator, in Operator Theory: Advances and Applications, Vol. 80, (Birkhauser, Basel, 1995), p. 266; F. H. Szafraniec, Comm.Math.Phys. 210, 323.

    Google Scholar 

  11. Xiang-Bin Wang, L. C. Kwek, and C. H. Oh (1999). Phys.Lett.A 259, 7.

    Google Scholar 

  12. E. Witten (1981). Nucl.Phys.B 188, 513.

    Google Scholar 

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Beckers, J., Debergh, N. & Szafraniec, F.H. Oscillator-Like Hamiltonians and Squeezing. International Journal of Theoretical Physics 39, 1515–1527 (2000). https://doi.org/10.1023/A:1003684011477

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