From scalar field theories to supersymmetric quantum mechanics. (English) Zbl 1362.81038
Summary: In this work, we report a new result that appears when one investigates the route that starts from a scalar field theory and ends on a supersymmetric quantum mechanics. The subject has been studied before in several distinct ways and here, we unveil an interesting novelty, showing that the same scalar field model may describe distinct quantum mechanical problems.
MSC:
81Q60 | Supersymmetry and quantum mechanics |
81T60 | Supersymmetric field theories in quantum mechanics |
References:
[1] | Rajaraman, R., Solitons and Instantons (North-Holland, 1982). · Zbl 0493.35074 |
[2] | Rebbi, C. and Soliani, G., Solitons and Particles (World Scientific, 1984). · Zbl 0704.35124 |
[3] | Coleman, S., Aspects of Symmetry (Cambridge Univ. Press, 1988). |
[4] | Vilenkin, A. and Shellard, E. P. S., Cosmic Strings and Other Topological Defects (Cambridge Univ. Press, 1994). · Zbl 0978.83052 |
[5] | Manton, N. and Sutcliffe, P., Topological Solitons (Cambridge Univ. Press, 2004). · Zbl 1100.37044 |
[6] | Infeld, L. and Hull, T. E., Rev. Mod. Phys.23, 21 (1951). · Zbl 0043.38602 |
[7] | Cooper, F., Khare, A. and Sukhatme, U., Phys. Rep.251, 267 (1995). |
[8] | Christ, N. H. and Lee, T. D., Phys. Rev. D12, 1606 (1975). |
[9] | Boya, L. J. and Casahorram, J., Ann. Phys.196, 361 (1989). · Zbl 0875.58022 |
[10] | Flores-Hidalgo, G. and Svaiter, N. F., Phys. Rev. D66, 025031 (2002). |
[11] | Bordag, M. and Yurov, A., Phys. Rev. D67, 025003 (2003). |
[12] | Vachaspati, T., Phys. Rev. D69, 043510 (2004). |
[13] | Pöschl, G. and Teller, E., Z. Phys.83, 143 (1933). · Zbl 0007.13603 |
[14] | Morse, P. M. and Feshbach, H., Methods of Theoretical Physics (McGraw-Hill, 1953). · Zbl 0051.40603 |
[15] | Lohe, M. A., Phys. Rev. D20, 3120 (1979). |
[16] | Bazeia, D., Gonzalez Leon, M. A., Losano, L. and Guilarte, J. Mateos, Phys. Rev. D73, 105008 (2006). |
[17] | Khare, A., Christov, I. C. and Saxena, A., Phys. Rev. E90, 023208 (2014). |
[18] | Bazeia, D., Losano, L., Menezes, R. and Souza, M. A. M., EPL87, 21001 (2009). |
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