Supersymmetry and Integrable Models
DOI: 10.1007/bfb0105331
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Quantum-mechanical supersymmetry in traps

Abstract: We discuss the application of quantum-mechanical supersymmetry to particle traps. The supersymmetric-partner wave functions may be used to describe a valence fermion in a trap system with an isotropic harmonic-oscillator potential. Interactions with the core are incorporated analytically. The close similarity of this approach to the application of supersymmetry in atomic systems is made explicit by means of a radial mapping between the two systems.

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Cited by 16 publications
(32 citation statements)
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“…10 Impressive constraints on SME coefficients from many experiments have been obtained. 1 The generality of the SME framework insures these constraints apply to any specific Lorentz-violating model that is consistent with realistic effective field theory.…”
Section: Basicsmentioning
confidence: 95%
See 1 more Smart Citation
“…10 Impressive constraints on SME coefficients from many experiments have been obtained. 1 The generality of the SME framework insures these constraints apply to any specific Lorentz-violating model that is consistent with realistic effective field theory.…”
Section: Basicsmentioning
confidence: 95%
“…Motivated by the prospect of minuscule observable effects arising from Planck-scale physics, searches for Lorentz and CPT violation have made impressive advances in recent years. 1 The scope of ongoing efforts presented at the CPT'19 meeting indicates that this rapid pace of development will continue unabated, with experiments achieving sensitivities to Lorentz violation that are orders of magnitude beyond present capabilities and providing unprecedented probes of the CPT theorem. Substantial theoretical advances in the subject are also being made, and the prospects are excellent for completing a comprehensive description of possible effects on all forces and particles and for achieving a broad understanding of the underlying mathematical structure in the near future.…”
Section: Introductionmentioning
confidence: 99%
“…D17 of ref. [60], we can find upper bounds imposed on some Lorentz-violating parameters. In models involving terms with dimension of mass to the power 5, the upper bounds are in the range (10 −35 − 10 −23 )GeV −1 .…”
Section: Charge-plate Interactionmentioning
confidence: 99%
“…These include activities focusing on the gravitational behaviour of antimatter. No compelling theoretical argument seems to support that a difference between the gravitational behaviour of matter and antimatter should be expected [1], although some attempts have been made to show the contrary [2][3][4][5] and it would be allowed in the context of the Standard Model Extension (SME) [6,7]. Moreover, observations and experiments have been interpreted as evidence against the existence of antigravity type forces [8][9][10][11].…”
Section: Introductionmentioning
confidence: 99%