Abstract

It is shown that energy/length scaling complicates maximizing the first hyperpolarizability of a single electron as a function of the potential. A more transparent formula for this hyperpolarizability is given. Examining this formula demonstrates that Zhou et al. 1 have not proved that modulated conjugation results in large hyperpolarizability.

© 2007 Optical Society of America

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References

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  1. J. Zhou, M. G. Kuzyk, and D. S. Watkins, Opt. Lett. 31, 2891 (2006).
    [CrossRef] [PubMed]
  2. B. J. Orr and J. F. Ward, Mol. Phys. 20, 513 (1971).
    [CrossRef]
  3. M. G. Kuzyk, Phys. Rev. A 72, 053819 (2005).
    [CrossRef]
  4. Of course, global properties of the potential determine global properties of the wave function such as which state is the ground state.

2006

2005

M. G. Kuzyk, Phys. Rev. A 72, 053819 (2005).
[CrossRef]

1971

B. J. Orr and J. F. Ward, Mol. Phys. 20, 513 (1971).
[CrossRef]

Kuzyk, M. G.

Orr, B. J.

B. J. Orr and J. F. Ward, Mol. Phys. 20, 513 (1971).
[CrossRef]

Ward, J. F.

B. J. Orr and J. F. Ward, Mol. Phys. 20, 513 (1971).
[CrossRef]

Watkins, D. S.

Zhou, J.

Mol. Phys.

B. J. Orr and J. F. Ward, Mol. Phys. 20, 513 (1971).
[CrossRef]

Opt. Lett.

Phys. Rev. A

M. G. Kuzyk, Phys. Rev. A 72, 053819 (2005).
[CrossRef]

Other

Of course, global properties of the potential determine global properties of the wave function such as which state is the ground state.

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Equations (2)

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ν 1 ( x ) = 0 x d x ψ 0 , 0 2 ( x ) [ 0 x d x ( x x ) ψ 0 , 0 2 ( x ) ] .
u 2 ( x ) = 0 x d x ψ 0 , 0 2 ( x ) [ 0 x d x ( r ( x ) ψ 0 , 0 2 ( x ) d x r ( x ) ) ] ,

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