A class of inverse problems in physics

American Journal of Physics

Volumn 68, Issue 8, 2000, Pages 698-703

  Carter, Ashley H ^a  

^a DREW UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034377237     PISSN: 00029505     EISSN: None     Source Type: Journal    
DOI: 10.1119/1.19530     Document Type: Article

References (14)

1. M. Kac, "Can one hear the shape of a drum?" Am. Math. Monthly 73 (4), 1-23 (1966).
2. H. Levine, A.O. Petters, and J. Wambsganss, Singularity Theory and Gravitational Lensing: Mathematical Foundations - Physical Applications (Birkhauser, Boston, 1997).
3. H.W. Engl, W. Rundell, and A.K. Louis, eds., Inverse Problems in Geophysical Applications (SIAM, Philadelphia, 1996).
4. A.F. Bennett, Inverse Methods in Physical Oceanography (Cambridge U.P., Cambridge, 1992).
5. L.D. Landau and E.M. Lifshitz, Mechanics (Pergamon, Oxford, 1976), 3rd ed., pp. 27-29.
6. See, for example, the Encyclopedia of Mathematics (Kluwer, Dordrecht, 1988), Vol. 1, pp. 5-6.
7. G.A. Korn and T.M. Korn, Mathematical Handbook for Scientists and Engineers (McGraw-Hill, New York, 1968), 2nd ed., 15.3-10.
8. M. Bocirc;cher, An Introduction to the Study of Integral Equations, Cambridge Tracts in Mathematics and Mathematical Physics, No. 10 (Hafner, New York, 1960), p. 4.
9. G. Arfken, Mathematical Methods for Physicists (Academic, New York, 1995), 4th ed., pp. 929-930.
10. J.B. Keller, I. Kay, and J. Shmoys, "Determination of the potential from scattering data," Phys. Rev. 102 (2), 557-559 (1956).
11. J.B. Marion and S.T. Thornton, Classical Dynamics of Particles and Systems (Harcourt Brace, Fort Worth, 1995), 4th ed., pp. 372-374.
12. E.T. Kornhauser and A.D. Yaghjian, "Modal solution of a point source in a strongly focusing medium," Radio Sci. 2, 299-310 (1967).
13. D.J. Griffiths, Introduction to Quantum Mechanics (Prentice-Hall, Englewood Cliffs, NJ, 1995), p. 291.
14. See Ref. 13, p. 294.