dorsal/arxiv
View SchemaAn asymmetric double-slit interferometer for small and large quantum particles
| Authors | Mirjana Bozic, Dusan Arsenovic, Lepsa Vuskovic |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0305189 |
| URL | https://arxiv.org/abs/quant-ph/0305189 |
Abstract
Quantum theory of interference phenomena does not take the diameter of the particle into account, since particles were much smaller than the width of the slits in early observations. In recent experiments with large molecules, the diameter of the particle has approached the width of the slits. Therefore, analytical description of these cases should include a finite particle size. The generic quantum interference setup is an asymmetric double slit interferometer. We evaluate the wave function of the particle transverse motion using two forms of the solution of Schrodinger's equation in an asymmetric interferometer: the Fresnel-Kirchhoff form and the form derived from the transverse wave function in the momentum representation. The transverse momentum distribution is independent of the distance from the slits, while the space distribution strongly depends on this distance. Based on the transverse momentum distribution we determined the space distribution of particles behind the slits. We will present two cases: a) when the diameter of the particle may be neglected with respect to the width of both slits, and b) when the diameter of the particle is larger than the width of the smaller slit.
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"abstract": "Quantum theory of interference phenomena does not take the diameter of the\nparticle into account, since particles were much smaller than the width of the\nslits in early observations. In recent experiments with large molecules, the\ndiameter of the particle has approached the width of the slits. Therefore,\nanalytical description of these cases should include a finite particle size.\nThe generic quantum interference setup is an asymmetric double slit\ninterferometer. We evaluate the wave function of the particle transverse motion\nusing two forms of the solution of Schrodinger\u0027s equation in an asymmetric\ninterferometer: the Fresnel-Kirchhoff form and the form derived from the\ntransverse wave function in the momentum representation. The transverse\nmomentum distribution is independent of the distance from the slits, while the\nspace distribution strongly depends on this distance. Based on the transverse\nmomentum distribution we determined the space distribution of particles behind\nthe slits. We will present two cases: a) when the diameter of the particle may\nbe neglected with respect to the width of both slits, and b) when the diameter\nof the particle is larger than the width of the smaller slit.",
"arxiv_id": "quant-ph/0305189",
"authors": [
"Mirjana Bozic",
"Dusan Arsenovic",
"Lepsa Vuskovic"
],
"categories": [
"quant-ph"
],
"title": "An asymmetric double-slit interferometer for small and large quantum particles",
"url": "https://arxiv.org/abs/quant-ph/0305189"
},
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