U. Peskin, O. E. Alon, and N. Moiseyev, "The solution of the time-dependent Schrödinger equation by the (t, t^{′}) method: multiphoton ionization/dissociation probabilities in different gauges of the electromagnetic potentials," J. Chem. Phys. 100, 7310 (1994).

[CrossRef]

U. Peskin, R. Kosloff, and N. Moiseyev, "The solution of the time dependent Schrödinger equation by the (t, t^{′}) method: the use of global polynomial propagators for time dependent Hamiltonians," J. Chem. Phys. 100, 8849 (1994).

[CrossRef]

U. Peskin and N. Moiseyev, "The solution of the time-dependent Schrödinger equation by the (t, t^{′}) method: theory, computational algorithm and applications," J. Chem. Phys. 99, 4590 (1993).

[CrossRef]

C. Cerjan and R. Kosloff, "Efficient variable time-dependent scheme for intense field–atom interactions," Phys. Rev. A 47, 1852 (1993).

[CrossRef]
[PubMed]

H. Tal Ezer, R. Kosloff, and C. Cerjan, "Low-order polynomial approximation of propagation for the time-dependent Schrö dinger equation," J. Comput. Phys. 100, 179 (1992).

[CrossRef]

C. Leforestier, R. Bisseling, C. Cerjan, M. D. Feit, R. Friesner, A. Guldberg, A. D. Hammerich, G. Julicard, W. Karrlein, H. Dieter Meyer, N. Lipkin, O. Roncero, and R. Kosloff, "A comparison of different propagation schemes for the time dependent Schrödinger equation," J. Comput. Phys. 94, 59 (1991).

[CrossRef]

C. J. Williams, J. Qian, and D. J. Tannor, "Dynamics of triatomic photodissociation in the interaction representation. I. Methodology," J. Chem. Phys. 95, 1721 (1991).

[CrossRef]

N. Moiseyev, "Resonances, cross sections, and partial widths by the complex coordinate method," Isr. J. Chem. 31, 311 (1991).

N. Moiseyev and H. J. Korsch, "Metastable quasienergy positions and widths for time-periodic Hamiltonians by the complex-coordinate method," Phys. Rev. A 41, 498 (1990); Isr. J. Chem. 30, 107 (1990).

[CrossRef]
[PubMed]

H. Tal Ezer and R. Kosloff, "An accurate and efficient scheme for propagating the time-dependent Schrödinger equation," J. Chem. Phys. 81, 3967 (1984).

[CrossRef]

D. Kosloff and R. Kosloff, "A Fourier method solution for the time dependent Schrödinger equation as a tool in molecular dynamics," J. Comput. Phys. 52, 35 (1983).

[CrossRef]

Y. K. Ho, "The method of complex coordinate rotation and its application to atomic collision processes," Phy. Rep. C 99, 1 (1983).

[CrossRef]

M. D. Feit, J. A. Fleck, Jr., and A. Steiger, "Solution of the Schrödinger equation by a spectral method," J. Comput. Phys. 47, 412 (1982).

[CrossRef]

W. P. Reinhardt, "Complex coordinates in the theory of atomic and molecular structure and dynamics," Ann. Rev. Phys. Chem. 33, 223 (1982).

[CrossRef]

B. R. Junker, "Recent computational developments in the use of complex scaling in resonance phenomena," Adv. At. Mol. Phys. 18, 207 (1982).

[CrossRef]

B. Simon, "Quadratic form techniques and the Balslev– Combes theorem," Commun. Math. Phys. 27, 1 (1972); Ann. Math. 97, 247 (1973).

[CrossRef]

E. Balslev and J. M. Combes, "Spectral properties of many-body Schrödinger operators with dilatation-analytic interactions," Commun. Math. Phys. 22, 280 (1971).

[CrossRef]

U. Peskin, O. E. Alon, and N. Moiseyev, "The solution of the time-dependent Schrödinger equation by the (t, t^{′}) method: multiphoton ionization/dissociation probabilities in different gauges of the electromagnetic potentials," J. Chem. Phys. 100, 7310 (1994).

[CrossRef]

E. Balslev and J. M. Combes, "Spectral properties of many-body Schrödinger operators with dilatation-analytic interactions," Commun. Math. Phys. 22, 280 (1971).

[CrossRef]

C. Leforestier, R. Bisseling, C. Cerjan, M. D. Feit, R. Friesner, A. Guldberg, A. D. Hammerich, G. Julicard, W. Karrlein, H. Dieter Meyer, N. Lipkin, O. Roncero, and R. Kosloff, "A comparison of different propagation schemes for the time dependent Schrödinger equation," J. Comput. Phys. 94, 59 (1991).

[CrossRef]

C. Cerjan and R. Kosloff, "Efficient variable time-dependent scheme for intense field–atom interactions," Phys. Rev. A 47, 1852 (1993).

[CrossRef]
[PubMed]

H. Tal Ezer, R. Kosloff, and C. Cerjan, "Low-order polynomial approximation of propagation for the time-dependent Schrö dinger equation," J. Comput. Phys. 100, 179 (1992).

[CrossRef]

C. Leforestier, R. Bisseling, C. Cerjan, M. D. Feit, R. Friesner, A. Guldberg, A. D. Hammerich, G. Julicard, W. Karrlein, H. Dieter Meyer, N. Lipkin, O. Roncero, and R. Kosloff, "A comparison of different propagation schemes for the time dependent Schrödinger equation," J. Comput. Phys. 94, 59 (1991).

[CrossRef]

See, for example, A. H. Cherin, An Introduction to Optical Fibers (McGraw-Hill, New York, 1983).

E. Balslev and J. M. Combes, "Spectral properties of many-body Schrödinger operators with dilatation-analytic interactions," Commun. Math. Phys. 22, 280 (1971).

[CrossRef]

H. Tal Ezer, R. Kosloff, and C. Cerjan, "Low-order polynomial approximation of propagation for the time-dependent Schrö dinger equation," J. Comput. Phys. 100, 179 (1992).

[CrossRef]

H. Tal Ezer and R. Kosloff, "An accurate and efficient scheme for propagating the time-dependent Schrödinger equation," J. Chem. Phys. 81, 3967 (1984).

[CrossRef]

C. Leforestier, R. Bisseling, C. Cerjan, M. D. Feit, R. Friesner, A. Guldberg, A. D. Hammerich, G. Julicard, W. Karrlein, H. Dieter Meyer, N. Lipkin, O. Roncero, and R. Kosloff, "A comparison of different propagation schemes for the time dependent Schrödinger equation," J. Comput. Phys. 94, 59 (1991).

[CrossRef]

M. D. Feit and J. A. Fleck, Jr., "Simple spectral method for solving propagation problems in cylindrical geometry with fast Fourier transforms," Opt. Lett. 14, 662 (1989).

[CrossRef]
[PubMed]

M. D. Feit, J. A. Fleck, Jr., and A. Steiger, "Solution of the Schrödinger equation by a spectral method," J. Comput. Phys. 47, 412 (1982).

[CrossRef]

M. D. Feit and J. A. Fleck, Jr., "Simple spectral method for solving propagation problems in cylindrical geometry with fast Fourier transforms," Opt. Lett. 14, 662 (1989).

[CrossRef]
[PubMed]

M. D. Feit, J. A. Fleck, Jr., and A. Steiger, "Solution of the Schrödinger equation by a spectral method," J. Comput. Phys. 47, 412 (1982).

[CrossRef]

C. Leforestier, R. Bisseling, C. Cerjan, M. D. Feit, R. Friesner, A. Guldberg, A. D. Hammerich, G. Julicard, W. Karrlein, H. Dieter Meyer, N. Lipkin, O. Roncero, and R. Kosloff, "A comparison of different propagation schemes for the time dependent Schrödinger equation," J. Comput. Phys. 94, 59 (1991).

[CrossRef]

C. Leforestier, R. Bisseling, C. Cerjan, M. D. Feit, R. Friesner, A. Guldberg, A. D. Hammerich, G. Julicard, W. Karrlein, H. Dieter Meyer, N. Lipkin, O. Roncero, and R. Kosloff, "A comparison of different propagation schemes for the time dependent Schrödinger equation," J. Comput. Phys. 94, 59 (1991).

[CrossRef]

C. Leforestier, R. Bisseling, C. Cerjan, M. D. Feit, R. Friesner, A. Guldberg, A. D. Hammerich, G. Julicard, W. Karrlein, H. Dieter Meyer, N. Lipkin, O. Roncero, and R. Kosloff, "A comparison of different propagation schemes for the time dependent Schrödinger equation," J. Comput. Phys. 94, 59 (1991).

[CrossRef]

Y. K. Ho, "The method of complex coordinate rotation and its application to atomic collision processes," Phy. Rep. C 99, 1 (1983).

[CrossRef]

C. Leforestier, R. Bisseling, C. Cerjan, M. D. Feit, R. Friesner, A. Guldberg, A. D. Hammerich, G. Julicard, W. Karrlein, H. Dieter Meyer, N. Lipkin, O. Roncero, and R. Kosloff, "A comparison of different propagation schemes for the time dependent Schrödinger equation," J. Comput. Phys. 94, 59 (1991).

[CrossRef]

B. R. Junker, "Recent computational developments in the use of complex scaling in resonance phenomena," Adv. At. Mol. Phys. 18, 207 (1982).

[CrossRef]

C. Leforestier, R. Bisseling, C. Cerjan, M. D. Feit, R. Friesner, A. Guldberg, A. D. Hammerich, G. Julicard, W. Karrlein, H. Dieter Meyer, N. Lipkin, O. Roncero, and R. Kosloff, "A comparison of different propagation schemes for the time dependent Schrödinger equation," J. Comput. Phys. 94, 59 (1991).

[CrossRef]

N. Moiseyev and H. J. Korsch, "Metastable quasienergy positions and widths for time-periodic Hamiltonians by the complex-coordinate method," Phys. Rev. A 41, 498 (1990); Isr. J. Chem. 30, 107 (1990).

[CrossRef]
[PubMed]

D. Kosloff and R. Kosloff, "A Fourier method solution for the time dependent Schrödinger equation as a tool in molecular dynamics," J. Comput. Phys. 52, 35 (1983).

[CrossRef]

U. Peskin, R. Kosloff, and N. Moiseyev, "The solution of the time dependent Schrödinger equation by the (t, t^{′}) method: the use of global polynomial propagators for time dependent Hamiltonians," J. Chem. Phys. 100, 8849 (1994).

[CrossRef]

C. Cerjan and R. Kosloff, "Efficient variable time-dependent scheme for intense field–atom interactions," Phys. Rev. A 47, 1852 (1993).

[CrossRef]
[PubMed]

H. Tal Ezer, R. Kosloff, and C. Cerjan, "Low-order polynomial approximation of propagation for the time-dependent Schrö dinger equation," J. Comput. Phys. 100, 179 (1992).

[CrossRef]

C. Leforestier, R. Bisseling, C. Cerjan, M. D. Feit, R. Friesner, A. Guldberg, A. D. Hammerich, G. Julicard, W. Karrlein, H. Dieter Meyer, N. Lipkin, O. Roncero, and R. Kosloff, "A comparison of different propagation schemes for the time dependent Schrödinger equation," J. Comput. Phys. 94, 59 (1991).

[CrossRef]

H. Tal Ezer and R. Kosloff, "An accurate and efficient scheme for propagating the time-dependent Schrödinger equation," J. Chem. Phys. 81, 3967 (1984).

[CrossRef]

D. Kosloff and R. Kosloff, "A Fourier method solution for the time dependent Schrödinger equation as a tool in molecular dynamics," J. Comput. Phys. 52, 35 (1983).

[CrossRef]

S. Leasure and R. E. Wyatt, "Floquet theory of the interaction of a molecule with a laser field: techniques and an application," Opt. Eng. 19, 46 (1980).

[CrossRef]

C. Leforestier, R. Bisseling, C. Cerjan, M. D. Feit, R. Friesner, A. Guldberg, A. D. Hammerich, G. Julicard, W. Karrlein, H. Dieter Meyer, N. Lipkin, O. Roncero, and R. Kosloff, "A comparison of different propagation schemes for the time dependent Schrödinger equation," J. Comput. Phys. 94, 59 (1991).

[CrossRef]

C. Leforestier, R. Bisseling, C. Cerjan, M. D. Feit, R. Friesner, A. Guldberg, A. D. Hammerich, G. Julicard, W. Karrlein, H. Dieter Meyer, N. Lipkin, O. Roncero, and R. Kosloff, "A comparison of different propagation schemes for the time dependent Schrödinger equation," J. Comput. Phys. 94, 59 (1991).

[CrossRef]

C. Leforestier, R. Bisseling, C. Cerjan, M. D. Feit, R. Friesner, A. Guldberg, A. D. Hammerich, G. Julicard, W. Karrlein, H. Dieter Meyer, N. Lipkin, O. Roncero, and R. Kosloff, "A comparison of different propagation schemes for the time dependent Schrödinger equation," J. Comput. Phys. 94, 59 (1991).

[CrossRef]

U. Peskin, O. E. Alon, and N. Moiseyev, "The solution of the time-dependent Schrödinger equation by the (t, t^{′}) method: multiphoton ionization/dissociation probabilities in different gauges of the electromagnetic potentials," J. Chem. Phys. 100, 7310 (1994).

[CrossRef]

U. Peskin, R. Kosloff, and N. Moiseyev, "The solution of the time dependent Schrödinger equation by the (t, t^{′}) method: the use of global polynomial propagators for time dependent Hamiltonians," J. Chem. Phys. 100, 8849 (1994).

[CrossRef]

U. Peskin and N. Moiseyev, "The solution of the time-dependent Schrödinger equation by the (t, t^{′}) method: theory, computational algorithm and applications," J. Chem. Phys. 99, 4590 (1993).

[CrossRef]

N. Moiseyev, "Resonances, cross sections, and partial widths by the complex coordinate method," Isr. J. Chem. 31, 311 (1991).

N. Moiseyev and H. J. Korsch, "Metastable quasienergy positions and widths for time-periodic Hamiltonians by the complex-coordinate method," Phys. Rev. A 41, 498 (1990); Isr. J. Chem. 30, 107 (1990).

[CrossRef]
[PubMed]

I. Vorobeichik, U. Peskin, and N. Moiseyev, "Propagation of light beam in optical fiber by the (t, t^{′}) method," Nonlinear Opt. (to be published).

U. Peskin, O. E. Alon, and N. Moiseyev, "The solution of the time-dependent Schrödinger equation by the (t, t^{′}) method: multiphoton ionization/dissociation probabilities in different gauges of the electromagnetic potentials," J. Chem. Phys. 100, 7310 (1994).

[CrossRef]

U. Peskin, R. Kosloff, and N. Moiseyev, "The solution of the time dependent Schrödinger equation by the (t, t^{′}) method: the use of global polynomial propagators for time dependent Hamiltonians," J. Chem. Phys. 100, 8849 (1994).

[CrossRef]

U. Peskin and N. Moiseyev, "The solution of the time-dependent Schrödinger equation by the (t, t^{′}) method: theory, computational algorithm and applications," J. Chem. Phys. 99, 4590 (1993).

[CrossRef]

I. Vorobeichik, U. Peskin, and N. Moiseyev, "Propagation of light beam in optical fiber by the (t, t^{′}) method," Nonlinear Opt. (to be published).

C. J. Williams, J. Qian, and D. J. Tannor, "Dynamics of triatomic photodissociation in the interaction representation. I. Methodology," J. Chem. Phys. 95, 1721 (1991).

[CrossRef]

W. P. Reinhardt, "Complex coordinates in the theory of atomic and molecular structure and dynamics," Ann. Rev. Phys. Chem. 33, 223 (1982).

[CrossRef]

C. Leforestier, R. Bisseling, C. Cerjan, M. D. Feit, R. Friesner, A. Guldberg, A. D. Hammerich, G. Julicard, W. Karrlein, H. Dieter Meyer, N. Lipkin, O. Roncero, and R. Kosloff, "A comparison of different propagation schemes for the time dependent Schrödinger equation," J. Comput. Phys. 94, 59 (1991).

[CrossRef]

B. Simon, "Quadratic form techniques and the Balslev– Combes theorem," Commun. Math. Phys. 27, 1 (1972); Ann. Math. 97, 247 (1973).

[CrossRef]

M. D. Feit, J. A. Fleck, Jr., and A. Steiger, "Solution of the Schrödinger equation by a spectral method," J. Comput. Phys. 47, 412 (1982).

[CrossRef]

C. J. Williams, J. Qian, and D. J. Tannor, "Dynamics of triatomic photodissociation in the interaction representation. I. Methodology," J. Chem. Phys. 95, 1721 (1991).

[CrossRef]

I. Vorobeichik, U. Peskin, and N. Moiseyev, "Propagation of light beam in optical fiber by the (t, t^{′}) method," Nonlinear Opt. (to be published).

C. J. Williams, J. Qian, and D. J. Tannor, "Dynamics of triatomic photodissociation in the interaction representation. I. Methodology," J. Chem. Phys. 95, 1721 (1991).

[CrossRef]

S. Leasure and R. E. Wyatt, "Floquet theory of the interaction of a molecule with a laser field: techniques and an application," Opt. Eng. 19, 46 (1980).

[CrossRef]

B. R. Junker, "Recent computational developments in the use of complex scaling in resonance phenomena," Adv. At. Mol. Phys. 18, 207 (1982).

[CrossRef]

W. P. Reinhardt, "Complex coordinates in the theory of atomic and molecular structure and dynamics," Ann. Rev. Phys. Chem. 33, 223 (1982).

[CrossRef]

E. Balslev and J. M. Combes, "Spectral properties of many-body Schrödinger operators with dilatation-analytic interactions," Commun. Math. Phys. 22, 280 (1971).

[CrossRef]

B. Simon, "Quadratic form techniques and the Balslev– Combes theorem," Commun. Math. Phys. 27, 1 (1972); Ann. Math. 97, 247 (1973).

[CrossRef]

N. Moiseyev, "Resonances, cross sections, and partial widths by the complex coordinate method," Isr. J. Chem. 31, 311 (1991).

U. Peskin and N. Moiseyev, "The solution of the time-dependent Schrödinger equation by the (t, t^{′}) method: theory, computational algorithm and applications," J. Chem. Phys. 99, 4590 (1993).

[CrossRef]

U. Peskin, O. E. Alon, and N. Moiseyev, "The solution of the time-dependent Schrödinger equation by the (t, t^{′}) method: multiphoton ionization/dissociation probabilities in different gauges of the electromagnetic potentials," J. Chem. Phys. 100, 7310 (1994).

[CrossRef]

U. Peskin, R. Kosloff, and N. Moiseyev, "The solution of the time dependent Schrödinger equation by the (t, t^{′}) method: the use of global polynomial propagators for time dependent Hamiltonians," J. Chem. Phys. 100, 8849 (1994).

[CrossRef]

H. Tal Ezer and R. Kosloff, "An accurate and efficient scheme for propagating the time-dependent Schrödinger equation," J. Chem. Phys. 81, 3967 (1984).

[CrossRef]

C. J. Williams, J. Qian, and D. J. Tannor, "Dynamics of triatomic photodissociation in the interaction representation. I. Methodology," J. Chem. Phys. 95, 1721 (1991).

[CrossRef]

D. Kosloff and R. Kosloff, "A Fourier method solution for the time dependent Schrödinger equation as a tool in molecular dynamics," J. Comput. Phys. 52, 35 (1983).

[CrossRef]

M. D. Feit, J. A. Fleck, Jr., and A. Steiger, "Solution of the Schrödinger equation by a spectral method," J. Comput. Phys. 47, 412 (1982).

[CrossRef]

H. Tal Ezer, R. Kosloff, and C. Cerjan, "Low-order polynomial approximation of propagation for the time-dependent Schrö dinger equation," J. Comput. Phys. 100, 179 (1992).

[CrossRef]

C. Leforestier, R. Bisseling, C. Cerjan, M. D. Feit, R. Friesner, A. Guldberg, A. D. Hammerich, G. Julicard, W. Karrlein, H. Dieter Meyer, N. Lipkin, O. Roncero, and R. Kosloff, "A comparison of different propagation schemes for the time dependent Schrödinger equation," J. Comput. Phys. 94, 59 (1991).

[CrossRef]

S. Leasure and R. E. Wyatt, "Floquet theory of the interaction of a molecule with a laser field: techniques and an application," Opt. Eng. 19, 46 (1980).

[CrossRef]

Y. K. Ho, "The method of complex coordinate rotation and its application to atomic collision processes," Phy. Rep. C 99, 1 (1983).

[CrossRef]

N. Moiseyev and H. J. Korsch, "Metastable quasienergy positions and widths for time-periodic Hamiltonians by the complex-coordinate method," Phys. Rev. A 41, 498 (1990); Isr. J. Chem. 30, 107 (1990).

[CrossRef]
[PubMed]

C. Cerjan and R. Kosloff, "Efficient variable time-dependent scheme for intense field–atom interactions," Phys. Rev. A 47, 1852 (1993).

[CrossRef]
[PubMed]

See, for example, A. H. Cherin, An Introduction to Optical Fibers (McGraw-Hill, New York, 1983).

I. Vorobeichik, U. Peskin, and N. Moiseyev, "Propagation of light beam in optical fiber by the (t, t^{′}) method," Nonlinear Opt. (to be published).