메뉴 건너뛰기




Volumn 60, Issue 6, 1999, Pages 4831-4845

Integral boundary conditions for the time-dependent Schrödinger equation: Atom in a laser field

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0000031316     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.60.4831     Document Type: Article
Times cited : (58)

References (63)
  • 17
    • 0032657262 scopus 로고    scopus 로고
    • D. Dundas, K. T. Taylor, J. S. Parker, and E. S. Smyth, J. Phys. B 32, L231 (1999) using different methods of an explicit account of the electron-electron interaction in the Schrödinger equation.
    • (1999) J. Phys. B , vol.32 , pp. L231
    • Dundas, D.1    Taylor, K.T.2    Parker, J.S.3    Smyth, E.S.4
  • 20
    • 4243233552 scopus 로고    scopus 로고
    • Phys. Rev. AA. D. Bandrauk and H. Yu, 59, 539 (1999).
    • (1999) , vol.59 , pp. 539
    • Bandrauk, A.D.1    Yu, H.2
  • 34
    • 0000182816 scopus 로고
    • Phys. Rev. AA. Keller, 52, 1450 (1995).
    • (1995) , vol.52 , pp. 1450
    • Keller, A.1
  • 41
    • 85037225300 scopus 로고    scopus 로고
    • P. G. Burke and K. A. Berrington, Atomic and Molecular Processes: An R-matrix approach (IOP Publications, Bristol, 1993)
    • P. G. Burke and K. A. Berrington, Atomic and Molecular Processes: An R-matrix approach (IOP Publications, Bristol, 1993).
  • 50
    • 85037239040 scopus 로고    scopus 로고
    • Reference
    • Reference 22, particularly, Chap. 6 by P. M. Riz and L. N. Slobodetsky.
  • 51
    • 85037178364 scopus 로고    scopus 로고
    • A similar situation takes place, for instance, in the heat flow problems, see e.g., L. D. Landau and E. M. Lifshitz, Fluid Mechanics (Pergamon Press, New York, 1995), p. 203 where integral-boundary conditions may occur in the form of a constraint between the temperature and the heat flux. This example has been earlier pointed out in Ref
    • A similar situation takes place, for instance, in the heat flow problems, see e.g., L. D. Landau and E. M. Lifshitz, Fluid Mechanics (Pergamon Press, New York, 1995), p. 203 where integral-boundary conditions may occur in the form of a constraint between the temperature and the heat flux. This example has been earlier pointed out in Ref. 12.
  • 52
    • 34547361024 scopus 로고
    • also R. P. Feynman and A. R. Hibbs, Quantum Mechanics and Path Integrals (McGraw-Hill, New York, 1965)
    • As was, probably, first pointed out by Feynman, the construction of an exact Green’s function for a particle moving semiclassically is possible if the potential is linear or quadratic in coordinates (which is our case). The potential can then be an arbitrary function of time. See R. P. Feynman, Rev. Mod. Phys. 20, 367 (1948);also R. P. Feynman and A. R. Hibbs, Quantum Mechanics and Path Integrals (McGraw-Hill, New York, 1965).
    • (1948) Rev. Mod. Phys. , vol.20 , pp. 367
    • Feynman, R.P.1
  • 53
    • 0003416894 scopus 로고
    • Springer-Verlag, New York S. P. Merkuriev and L. D. Faddeev, Quantum Scattering Theory for Few-Body Systems (Nauka, Moscow, 1985), in particular, Chap. V
    • R. G. Newton, Scattering Theory of Waves and Particles (Springer-Verlag, New York, 1982), Chap. 18;S. P. Merkuriev and L. D. Faddeev, Quantum Scattering Theory for Few-Body Systems (Nauka, Moscow, 1985), in particular, Chap. V.
    • (1982) Scattering Theory of Waves and Particles
    • Newton, R.G.1
  • 54
    • 85037230427 scopus 로고    scopus 로고
    • L. D. Landau and E. M. Lifshitz, Quantum Mechanics (Non-relativistic Theory) (Pergamon Press, Oxford, 1975), Chap. VII
    • L. D. Landau and E. M. Lifshitz, Quantum Mechanics (Non-relativistic Theory) (Pergamon Press, Oxford, 1975), Chap. VII.
  • 57
    • 85037228423 scopus 로고    scopus 로고
    • M. Abramowitz and I. Stegun, Handbook of Mathematical Functions, 10th ed., Natl. Bur. Stand. (U.S.) Appl. Math. Ser. No. 55 (U.S. GPO, Washington, DC, 1972), p. 295
    • M. Abramowitz and I. Stegun, Handbook of Mathematical Functions, 10th ed., Natl. Bur. Stand. (U.S.) Appl. Math. Ser. No. 55 (U.S. GPO, Washington, DC, 1972), p. 295.
  • 58
    • 0004134172 scopus 로고
    • E. B. Becker, G. F. Carey, and J. T. Oden, Finite Elements, An Introduction (Prentice-Hall, Englewood Cliffs, NJ, 1981), Vol. I. Nauka, Moscow
    • V. A. Trenogin, Functional Analysis (Nauka, Moscow, 1980), p. 331;E. B. Becker, G. F. Carey, and J. T. Oden, Finite Elements, An Introduction (Prentice-Hall, Englewood Cliffs, NJ, 1981), Vol. I.
    • (1980) Functional Analysis , pp. 331
    • Trenogin, V.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.