arXiv:quant-ph/9906048

Unsharpness in the Stern-Gerlach device via stochastic perturbation in the Hamiltonian

Ioan Sturzu, Gelu M. Nita

Published Jun 15, 1999• 0 citations

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Abstract

This paper has been withdrawn by the author(s), due a crucial i-number error in Eqn. 18.

DOI: 10.48550/arxiv.quant-ph/9906048

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arXiv:quant-ph/9906048

Unsharpness in the Stern-Gerlach device via stochastic perturbation in the Hamiltonian

Ioan Sturzu, Gelu M. Nita

Published Jun 15, 1999• 0 citations

arXiv HTML PDF

Abstract

This paper has been withdrawn by the author(s), due a crucial i-number error in Eqn. 18.

DOI: 10.48550/arxiv.quant-ph/9906048

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arXiv:0711.2439Nov 15, 20070 citations

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Can a spin-half particle ever give more than two spots in a Stern-Gerlach experiment? -- the subtle physics of effective Hamiltonians

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We show that a spin-1/2 particle can behave as if it were spin- $s$ , and generate $2s+1$ spots in a Stern Gerlach measurement (albeit with a smaller gyromagnetic ratio). This arises from some subtle properties of effective Hamiltonians and Hamiltonians with constraints. Examples of implications of the effect in condensed matter are discussed. We also give some simple non-perturbative bounds for a system subjected to strong constraints.We show that a spin-1/2 particle can behave as if it were spin-$s$, and generate $2s+1$ spots in a Stern Gerlach measurement (albeit with a smaller gyromagnetic ratio). This arises from some subtle properties of effective Hamiltonians and Hamiltonians with constraints. Examples of implications of the effect in condensed matter are discussed. We also give some simple non-perturbative bounds for a system subjected to strong constraints.

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Der-Ruenn Su

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We show that a spin-1/2 particle can behave as if it were spin-

s

, and generate

2s+1

spots in a Stern Gerlach measurement (albeit with a smaller gyromagnetic ratio). This arises from some subtle properties of effective Hamiltonians and Hamiltonians with constraints. Examples of implications of the effect in condensed matter are discussed. We also give some simple non-perturbative bounds for a system subjected to strong constraints.