No Zero Energy States for the Supersymmetric x2y2 Potential

被引：0

作者：

G. M. Graf

D. Hasler

J. Hoppe

机构：

[1] ETH-Hönggerberg,Theoretische Physik

[2] QFT,undefined

[3] HU-Berlin,undefined

来源：

Letters in Mathematical Physics | 2002年 / 60卷

关键词：

supersymmetric matrix models; zero modes;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We show that the positive supersymmetric matrix-valued differential operator H = px2 + py2 + x2y2 + xσ3 + yσ1 has no zero modes, i.e., Hψ = 0 implies ψ = 0. The result depends on a virial type argument for the corresponding supercharge. The model may be regarded as a simple relative of dimensional reductions of supersymmetric Yang–Mills theories.

引用

页码：191 / 196

页数：5

共 50 条

[1] No zero energy states for the supersymmetric x2y2 potential
Graf, GM
Hasler, D
Hoppe, J
[J]. LETTERS IN MATHEMATICAL PHYSICS, 2002, 60 (02) : 191 - 196
[2] EXISTENCE OF STABLE ORBITS IN THE X2Y2 POTENTIAL
DAHLQVIST, P
RUSSBERG, G
[J]. PHYSICAL REVIEW LETTERS, 1990, 65 (23) : 2837 - 2838
[3] SEARCH FOR REGULAR ORBITS IN THE X2Y2 POTENTIAL PROBLEM
NIP, MLA
TUSZYNSKI, JA
OTWINOWSKI, M
DIXON, JM
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1992, 25 (21): : 5553 - 5562
[4] Eigenvalues and eigenfunctions of the anharmonic oscillator V(x, y) = x2y2
Fernandez, Francisco M.
Garcia, Javier
[J]. CENTRAL EUROPEAN JOURNAL OF PHYSICS, 2014, 12 (07): : 499 - 502
[5] EXISTENCE OF STABLE PERIODIC-ORBITS IN THE X2Y2 POTENTIAL - A SEMICLASSICAL APPROACH
BISWAS, D
AZAM, M
LAWANDE, QV
LAWANDE, SV
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1992, 25 (07): : L297 - L301
[6] CORRELATION BETWEEN ENERGY-LEVELS OF LINEAR AND BENT X2Y2 MOLECULES
YAMADA, K
NAKAGAWA, T
KUCHITSU, K
[J]. JOURNAL OF MOLECULAR SPECTROSCOPY, 1974, 51 (03) : 399 - 421
[7] About nilalgebras satisfying (xy)2 = x2y2
Behn, A.
Correa, Ivan
Gutierrez Fernandez, Juan C.
Garcia, C., I
[J]. COMMUNICATIONS IN ALGEBRA, 2021, 49 (09) : 3708 - 3719
[8] Rational points on x3 + x2y2 + y3 = k
Lang, Xiaoan
Rouse, Jeremy
[J]. INTERNATIONAL JOURNAL OF NUMBER THEORY, 2024, 20 (07) : 1767 - 1778
[9] The equation x2y2 = g in partially commutative groups
Shestakov, SL
[J]. SIBERIAN MATHEMATICAL JOURNAL, 2006, 47 (02) : 383 - 390
[10] The equation x2y2 = g in partially commutative groups
S. L. Shestakov
[J]. Siberian Mathematical Journal, 2006, 47 : 383 - 390

← 1 2 3 4 5 →