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Momentum-space analyses of the two-dimensional δ-function potential include C. Thorn, Phys. Rev. D 19, 639 (1979); K. Huang, Quarks, Leptons, and Gauge Fields (World Scientific, Singapore, 1982), Secs. 10.7 and 10.8; R. Jackiw, in M. A. B. Bég Memorial Volume, edited by A. Ali and P. Hoodbhoy (World Scientific, Singapore, 1991).
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Momentum-space analyses of the two-dimensional δ-function potential include C. Thorn, Phys. Rev. D 19, 639 (1979); K. Huang, Quarks, Leptons, and Gauge Fields (World Scientific, Singapore, 1982), Secs. 10.7 and 10.8; R. Jackiw, in M. A. B. Bég Memorial Volume, edited by A. Ali and P. Hoodbhoy (World Scientific, Singapore, 1991).
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Huang, K.1
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0003577401
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edited by A. Ali and P. Hoodbhoy World Scientific, Singapore
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Momentum-space analyses of the two-dimensional δ-function potential include C. Thorn, Phys. Rev. D 19, 639 (1979); K. Huang, Quarks, Leptons, and Gauge Fields (World Scientific, Singapore, 1982), Secs. 10.7 and 10.8; R. Jackiw, in M. A. B. Bég Memorial Volume, edited by A. Ali and P. Hoodbhoy (World Scientific, Singapore, 1991).
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Jackiw, R.1
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10644232752
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A momentum-space renormalization-group analysis of the two-dimensional δ-function potential is developed in S. K. Adhikari and T. Frederico, Phys. Rev. Lett. 74, 4572 (1995).
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Configuration-space analyses of the two-dimensional δ-function potential include C. Manuel and R. Tarrach, Phys. Lett. B 328, 113 (1994); P. Gosdzinsky and R. Tarrach, Am. J. Phys. 59, 70 (1991); L. R. Mead and J. Godiness, Am. J. Phys. 59, 935 (1991).
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Manuel, C.1
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28
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Configuration-space analyses of the two-dimensional δ-function potential include C. Manuel and R. Tarrach, Phys. Lett. B 328, 113 (1994); P. Gosdzinsky and R. Tarrach, Am. J. Phys. 59, 70 (1991); L. R. Mead and J. Godiness, Am. J. Phys. 59, 935 (1991).
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Gosdzinsky, P.1
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29
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Configuration-space analyses of the two-dimensional δ-function potential include C. Manuel and R. Tarrach, Phys. Lett. B 328, 113 (1994); P. Gosdzinsky and R. Tarrach, Am. J. Phys. 59, 70 (1991); L. R. Mead and J. Godiness, Am. J. Phys. 59, 935 (1991).
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See also S. K. Adhikari and A. Ghosh, J. Phys. A 30, 6553 (1997); S. K. Adhikari, T. Frederico, and I. D. Goldman, Phys. Rev. Lett. 74, 487 (1995).
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Adhikari, S.K.1
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33
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As an alternative, the momentum-space scheme of Ref. [14] is applied numerically to a related problem (inverse square potential with exponential screening) in C. F. de Araujo, Jr., L. Tomio, S. K. Adhikari, and T. Frederico, J. Phys. A 30, 4687 (1997).
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J. Phys. A
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Gradshteyn, I.S.1
Ryzhik, I.M.2
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41
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0343964434
-
-
note
-
Incidentally, our theory in D dimensions has a two-dimensional appearance, due to dimensional transmutation. This is in sharp contrast with the behavior of the solutions of the wave equation and of the free-particle Schrödinger equation. See also Eq. (10).
-
-
-
-
43
-
-
0343092700
-
-
note
-
The present solution of the inverse square potential (with 1 = 0) applies to the radial part of the wave function under a dipole potential; the angular part can be dealt with by using the method of Ref. [10].
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