2001年1月18日
Ν-fold supersymmetry for a periodic potential
Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
- ,
- ,
- ,
- 巻
- 498
- 号
- 1-2
- 開始ページ
- 117
- 終了ページ
- 122
- 記述言語
- 英語
- 掲載種別
- 研究論文(学術雑誌)
- DOI
- 10.1016/S0370-2693(00)01355-1
We report a new type of supersymmetry, "Ν-fold supersymmetry", in one-dimensional quantum mechanics. Its supercharges are Νth order polynomials of momentum: it reduces to ordinary supersymmetry for Ν = 1, but for other values of Ν the anticommutator of the supercharges is not the ordinary Hamiltonian, but is a polynomial of the Hamiltonian. (For this reason, the original Hamiltonian is referred to as the "Mother Hamiltonian".) This supersymmetry shares some features with the ordinary variety, the most notable of which is the non-renormalization theorem. An Ν-fold supersymmetry was earlier found for a quartic potential whose supersymmetry is spontaneously broken. Here we report that it also holds for a periodic potential, albeit with somewhat different supercharges, whose supersymmetry is not broken. © 2001 Published by Elsevier Science B.V.
- リンク情報
- ID情報
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- DOI : 10.1016/S0370-2693(00)01355-1
- ISSN : 0370-2693
- arXiv ID : quant-ph/0011009
- SCOPUS ID : 0001795773