Regularization methods for delta-function potential in two-dimensional quantum mechanics

American Journal of Physics

Volumn 68, Issue 6, 2000, Pages 571-575

  Nyeo, Su Long ^a  

^a NATIONAL CHENG KUNG UNIVERSITY   (Taiwan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034385551     PISSN: 00029505     EISSN: None     Source Type: Journal    
DOI: 10.1119/1.19485     Document Type: Article

References (16)

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8. R. Jackiw, "Delta-function potentials in two- and three-dimensional quantum mechanics," in M.A.B. B́eg Memorial Volume, edited by A. Ali and P. Hoodbhoy (World Scientific, Singapore, 1991), pp. 25-42; L. R. Mead and J. Godines, "An analytical example of renormalization in two-dimensional quantum mechanics," Am. J. Phys. 59 (10), 935-937 (1991); P. Gosdzinsky and R. Tarrach, "Learning quantum field theory from elementary quantum mechanics," ibid. 59 (1), 70-74 (1991); B. R. Holstein, "Anomalies for pedestrians," ibid. 61 (2), 142-147 (1993); C. Manuel and R. Tarrach, "Perturbative renormalization in quantum mechanics," Phys. Lett. B 328, 113-118 (1994); A. Caho, J. L. Lucio, and H. Mercado, "On scale invariance and anomalies in quantum mechanics," Am. J. Phys. 66 (3), 240-246 (1998); R. M. Cavalcanti. "Exact Green's functions for delta-function potentials and renormalization in quantum mechanics," http://xxx.lanl.gov:quant-ph/9801033.
9. R. Jackiw, "Delta-function potentials in two- and three-dimensional quantum mechanics," in M.A.B. B́eg Memorial Volume, edited by A. Ali and P. Hoodbhoy (World Scientific, Singapore, 1991), pp. 25-42; L. R. Mead and J. Godines, "An analytical example of renormalization in two-dimensional quantum mechanics," Am. J. Phys. 59 (10), 935-937 (1991); P. Gosdzinsky and R. Tarrach, "Learning quantum field theory from elementary quantum mechanics," ibid. 59 (1), 70-74 (1991); B. R. Holstein, "Anomalies for pedestrians," ibid. 61 (2), 142-147 (1993); C. Manuel and R. Tarrach, "Perturbative renormalization in quantum mechanics," Phys. Lett. B 328, 113-118 (1994); A. Caho, J. L. Lucio, and H. Mercado, "On scale invariance and anomalies in quantum mechanics," Am. J. Phys. 66 (3), 240-246 (1998); R. M. Cavalcanti. "Exact Green's functions for delta-function potentials and renormalization in quantum mechanics," http://xxx.lanl.gov:quant-ph/9801033.
10. R. Jackiw, "Delta-function potentials in two- and three-dimensional quantum mechanics," in M.A.B. B́eg Memorial Volume, edited by A. Ali and P. Hoodbhoy (World Scientific, Singapore, 1991), pp. 25-42; L. R. Mead and J. Godines, "An analytical example of renormalization in two-dimensional quantum mechanics," Am. J. Phys. 59 (10), 935-937 (1991); P. Gosdzinsky and R. Tarrach, "Learning quantum field theory from elementary quantum mechanics," ibid. 59 (1), 70-74 (1991); B. R. Holstein, "Anomalies for pedestrians," ibid. 61 (2), 142-147 (1993); C. Manuel and R. Tarrach, "Perturbative renormalization in quantum mechanics," Phys. Lett. B 328, 113-118 (1994); A. Caho, J. L. Lucio, and H. Mercado, "On scale invariance and anomalies in quantum mechanics," Am. J. Phys. 66 (3), 240-246 (1998); R. M. Cavalcanti. "Exact Green's functions for delta-function potentials and renormalization in quantum mechanics," http://xxx.lanl.gov:quant-ph/9801033.
11. R. Jackiw, "Delta-function potentials in two- and three-dimensional quantum mechanics," in M.A.B. B́eg Memorial Volume, edited by A. Ali and P. Hoodbhoy (World Scientific, Singapore, 1991), pp. 25-42; L. R. Mead and J. Godines, "An analytical example of renormalization in two-dimensional quantum mechanics," Am. J. Phys. 59 (10), 935-937 (1991); P. Gosdzinsky and R. Tarrach, "Learning quantum field theory from elementary quantum mechanics," ibid. 59 (1), 70-74 (1991); B. R. Holstein, "Anomalies for pedestrians," ibid. 61 (2), 142-147 (1993); C. Manuel and R. Tarrach, "Perturbative renormalization in quantum mechanics," Phys. Lett. B 328, 113-118 (1994); A. Caho, J. L. Lucio, and H. Mercado, "On scale invariance and anomalies in quantum mechanics," Am. J. Phys. 66 (3), 240-246 (1998); R. M. Cavalcanti. "Exact Green's functions for delta-function potentials and renormalization in quantum mechanics," http://xxx.lanl.gov:quant-ph/9801033.
12. R. Jackiw, "Delta-function potentials in two- and three-dimensional quantum mechanics," in M.A.B. B́eg Memorial Volume, edited by A. Ali and P. Hoodbhoy (World Scientific, Singapore, 1991), pp. 25-42; L. R. Mead and J. Godines, "An analytical example of renormalization in two-dimensional quantum mechanics," Am. J. Phys. 59 (10), 935-937 (1991); P. Gosdzinsky and R. Tarrach, "Learning quantum field theory from elementary quantum mechanics," ibid. 59 (1), 70-74 (1991); B. R. Holstein, "Anomalies for pedestrians," ibid. 61 (2), 142-147 (1993); C. Manuel and R. Tarrach, "Perturbative renormalization in quantum mechanics," Phys. Lett. B 328, 113-118 (1994); A. Caho, J. L. Lucio, and H. Mercado, "On scale invariance and anomalies in quantum mechanics," Am. J. Phys. 66 (3), 240-246 (1998); R. M. Cavalcanti. "Exact Green's functions for delta-function potentials and renormalization in quantum mechanics," http://xxx.lanl.gov:quant-ph/9801033.
13. R. Jackiw, "Delta-function potentials in two- and three-dimensional quantum mechanics," in M.A.B. B́eg Memorial Volume, edited by A. Ali and P. Hoodbhoy (World Scientific, Singapore, 1991), pp. 25-42; L. R. Mead and J. Godines, "An analytical example of renormalization in two-dimensional quantum mechanics," Am. J. Phys. 59 (10), 935-937 (1991); P. Gosdzinsky and R. Tarrach, "Learning quantum field theory from elementary quantum mechanics," ibid. 59 (1), 70-74 (1991); B. R. Holstein, "Anomalies for pedestrians," ibid. 61 (2), 142-147 (1993); C. Manuel and R. Tarrach, "Perturbative renormalization in quantum mechanics," Phys. Lett. B 328, 113-118 (1994); A. Caho, J. L. Lucio, and H. Mercado, "On scale invariance and anomalies in quantum mechanics," Am. J. Phys. 66 (3), 240-246 (1998); R. M. Cavalcanti. "Exact Green's functions for delta-function potentials and renormalization in quantum mechanics," http://xxx.lanl.gov:quant-ph/9801033.
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