Gauge transformations for a family of nonlinear schrödinger equations

Journal of Nonlinear Mathematical Physics

Volumn 4, Issue 1-2, 1997, Pages 6-11

  Goldin, Gerald A ^a  

^a RUTGERS UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0043214810     PISSN: 14029251     EISSN: 17760852     Source Type: Journal    
DOI: 10.2991/jnmp.1997.4.1-2.1     Document Type: Article

References (12)

1. Doebner, H.-D., and Goldin, G.A., 1992. Phys. Lett. A, 162:397
2. Goldin, G.A., 1992. Int. J. Mod. Phys. B, 6:1905
3. Doebner, H.-D., and Goldin, G.A., 1994. J. Phys. A:Math. Gen., 27:1771
4. Goldin, G.A., 1995. “Diffeomorphism group representations and quantum nonlinearity:Gauge transformations and measurement”. In Nonlinear, Deformed, and Irreversible Quantum Systems, Edited by:Doebner, H. D., Dobrev, V. K., and Nattermann, P., 125Singapore:World Scientific.
5. Doebner, H.-D., and Goldin, G.A., Introducing nonlinear gauge transformations in a family of nonlinear Schrödinger equations, (submitted for publication)
6. Fushchych, W., Chopyk, V., Nattermann, P., and Scherer, W., 1995. Rep. Math. Phys., 35:129 Fushchych W.I, Cherniha R.M., Ukrainian Math. J., 1995, V.41, N 10, 1161–1167; V.41, N 12, 1456–1463. Fushchych W., Shtelen W., Serov M., Symmetry Analysis and Exact Solutions of Equations of Nonlinear Mathematical Physics, Kluwer Academic Publishers, 1993, 430p
7. Nattermann, P., and Zhdanov, R., On integrable Doebner-Goldin equations. J. Phys. A, (to be published)
8. Doebner, H.D., Goldin, G.A., and Nattermann, P., 1995. “A family of nonlinear Schrödinger equations:linearizing transformations and resulting structure”. In Quantization, Coherent States, and Complex Structures, Edited by:Antoine, J.-P., Ali, S. T., Lisiecki, W., Mladenov, I. M., and Odzijewicz, A., 27New York:Plenum.
9. Doebner, H.-D., Goldin, G.A., and Nattermannp, P., Nonlinear gauge transformations in quantum mechanics and the unification of nonlinear Schrödinger equations, (to be submitted for publication)
10. Bialynicki-Birula, I., and Mycielski, J., 1976. Ann. Phys., 100:62
11. Kostin, M.D., 1972. J. Chem. Phys., 57:3589
12. Goldin, G.A., and Svetlichny, G., 1994. J. Math. Phys., 35:3322 Reprinted with permission in J. Nonlin. Math. Phys., 1995, V.2, 120