Geodesic
The effect of the mass transfer along the cosmic string
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, Tome 131 (2013) no. 2, pp. 259-266 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

The caption of massive quantum particle by the infinite string is considered. It is demonstrated that the appearance of the cuspidal point on the string leads to the collapse of particle wave function in this point.
Keywords: cosmic strings, non-stationary Schrödinger equation, teleportation. 
@article{VSGTU_2013_131_2_a30,
     author = {S. V. Talalov},
     title = {The effect of the mass transfer along the cosmic string},
     journal = {Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences},
     pages = {259--266},
     year = {2013},
     volume = {131},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGTU_2013_131_2_a30/}
}
TY  - JOUR
AU  - S. V. Talalov
TI  - The effect of the mass transfer along the cosmic string
JO  - Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences
PY  - 2013
SP  - 259
EP  - 266
VL  - 131
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/VSGTU_2013_131_2_a30/
LA  - ru
ID  - VSGTU_2013_131_2_a30
ER  - 
%0 Journal Article
%A S. V. Talalov
%T The effect of the mass transfer along the cosmic string
%J Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences
%D 2013
%P 259-266
%V 131
%N 2
%U http://geodesic.mathdoc.fr/item/VSGTU_2013_131_2_a30/
%G ru
%F VSGTU_2013_131_2_a30
S. V. Talalov. The effect of the mass transfer along the cosmic string. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, Tome 131 (2013) no. 2, pp. 259-266. http://geodesic.mathdoc.fr/item/VSGTU_2013_131_2_a30/

[1] R. G. Newton, Scattering Theory of Waves and Particles, McGraw-Hill, New York, 1966, 699 pp. ; R. Nyuton, Teoriya rasseyaniya voln i chastits, Mir, M., 1969, 608 pp. | MR

[2] M. Reed, B. Simon, Methods of modern mathematical physics, v. 2, Harmonic analysis. Selfadjointness, Mir, Moscow, 1978, 395 pp. | MR

[3] N. Turok, “Grand unified strings and galaxy formation”, Nucl. Phys. B, 242:2 (1984), 520–541 | DOI | MR

[4] S. V. Klimenko, I. N. Nikitin, “Singularities on world sheets of open relativistic strings”, Theoret. and Math. Phys., 114:3 (1998), 299–312 | DOI | DOI | MR | Zbl

[5] A. Vilenkin, “Cosmic strings and domain walls”, Phys. Rep., 121:5 (1985), 263–315 | DOI | MR | Zbl

[6] T. Vachaspati, “Cosmic Sparks from Superconducting Strings”, Phys. Rev. Lett., 101:14 (2008), 141301, 4 pp., arXiv: [astro-ph] 0802.0711 | DOI | MR

[7] M. R. Anderson, The mathematical theory of cosmic strings. Cosmic strings in the wire approximation, Series in High Energy Physics, Cosmology and Gravitation, IOP Publishing, Bristol, 2003, xii+380 pp. | MR | Zbl

[8] B. M. Barbashov, V. V. Nesterenko, The Model of the Relativistic String in Hadronic Physics, Energoatomizdat, Moscow, 1987, 176 pp.

[9] S. V. Talalov, “$N$-Soliton strings in four-dimensional space-time”, Theoret. and Math. Phys., 152:3 (2007), 1234–1242 | DOI | DOI | MR | Zbl

[10] S. V. Talalov, “The anyon model: an example inspired by string theory”, Internat. J. Modern Phys. A, 26:16 (2011), 2757–2772, arXiv: [math-ph] 1105.0743 | DOI | MR | Zbl

[11] F. A. Berezin, L. D. Faddeev, “A remark on Schrödinger's equation with a singular potential”, Sov. Math., Dokl., 2 (1961), 372–375 | MR | Zbl

[12] Yu. G. Shondin, “On the semiboundedness of $\delta$-perturbations of the laplacian supported by curves with angle points”, Theoret. and Math. Phys., 105:1 (1995), 1189–1200 | DOI | MR | Zbl

[13] M. V. Fedoryuk, “The stationary phase method and pseudodifferential operators”, Russian Math. Surveys, 6:1 (1971), 65–115 | DOI | MR | MR | Zbl

[14] I. M. Gel'fand, G. E. Shilov, Generalized functions, v. 1, Properties and operations, Academic Press, New York, London, 1964

[15] S. V. Talalov, “About the mechanism of matter transfer along the cosmic string”, Mod. Phys. Let. A, 27:8 (2012), 1250048, 5 pp., arXiv: [math-ph] 1202.2222 | DOI | Zbl

[16] S. V. Talalov, “The effect of the mass transfer along the cosmic string”, The Third International Conference “Mathematical Physics and Its Applications”, Book of Abstracts (August 27 – September 01, 2012 Samara, Russia), eds. I. V. Volovich, V. P. Radchenko, Samara State Technical Univ., Samara, 2012, 288