Abstract
A new effective method of calculating wave functions of discrete and continuous spectra of a hydrogen atom in a strong magnetic field is developed on the basis of the adiabatic approach to parametric eigenvalue problems in spherical coordinates. The two-dimensional spectral problem for the Schrödinger equation at a fixed magnetic quantum number and parity is reduced to a spectral parametric problem for a one-dimensional angular equation and a finite set of ordinary second-order radial differential equations. The results are in good agreement with the photoionization calculations by other authors and have a true threshold behavior.
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References
A. Rotondi, M. Amoretti, C. Amsler, et al., AIP Conf. Proc. 796, 285 (2005).
N. Madsen, M. Amoretti, C. Amsler, et al., Phys. Rev. Lett. 94, 033403 (2005).
W. Bertsche, A Boston, P. D. Bowe, et al., AIP Conf. Proc. 796, 301 (2005).
V. V. Serov, V. P. Kadjaeva, V. L. Derbov, and S. I. Vinitsky, Proc. SPIE 5773, 195 (2005).
V. V. Serov, V. L. Derbov, and S. I. Vinitsky, Opt. Spectrosc. 102, 557 (2007).
M. G. Dimova, M. S. Kaschiev, and S. I. Vinitsky, J. Phys. B 38, 2337 (2005).
O. Chuluunbaatar et al., J. Phys. B 39, 243 (2006).
J. R. Guest, J.-H. Choi, and G. Raithel, Phys. Rev. A 68, 022509 (2003).
J. R. Guest and G. Raithel, Phys. Rev. A 68, 052502 (2003).
J.-H. Choi, J. R. Guest, A. P. Povilus, et al., Phys. Rev. Lett. 95, 243001 (2005).
C. C. Gerry and J. Laub, Phys. Rev. A 32, 3376 (1985).
D. Delande, A. Bommier, and J. C. Gay, Phys. Rev. Lett. 66, 141 (1991).
M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions (Dover, New York, 1972), p. 1037.
C. H. Greene, Phys. Rev. A 28, 2209 (1983).
Q. Wang and C. H. Greene, Phys. Rev. A 44, 7448 (1991).
U. Fano and C. M. Lee, Phys. Rev. Lett. 31, 1573 (1973).
C. M. Lee, Phys. Rev. A 10, 584 (1974).
R. Courant and D. Hilbert, Methods of Mathematical Physics (Springer, New York 1968), Vol. 1, p. 353.
J. Macek, Phys. Rev. A 30, 1277 (1984).
S. I. Vinitsky et al., Program. Comput. Software 33, 105 (2007).
M. Gailitis, J. Phys. B 9, 843 (1976).
M. V. Ryabinina and L. A. Melnikov, AIP Conf. Proc. 796, 325 (2005); Nucl. Instrum. Methods Phys. Res. B 214, 35 (2004).
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Chuluunbaatar, O., Gusev, A.A., Derbov, V.L. et al. Adiabatic representation for a hydrogen atom photoionization in a uniform magnetic field. Phys. Atom. Nuclei 71, 844–852 (2008). https://doi.org/10.1134/S1063778808050128
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DOI: https://doi.org/10.1134/S1063778808050128