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]

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]

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]

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, 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, 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 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).

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]

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, 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]

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]

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]

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

[CrossRef]
[PubMed]

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).

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