dorsal/arxiv
View SchemaLimitations on the principle of stationary phase when it is applied to tunneling analysis
| Authors | Alex E. Bernardini |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0701010 |
| URL | https://arxiv.org/abs/quant-ph/0701010 |
| DOI | 10.1103/PhysRevA.74.062111 |
| Journal | Phys. Rev. A74 (2006) 062111 |
Abstract
Using a recently developed procedure - multiple wave packet decomposition - here we study the phase time formulation for tunneling/reflecting particles colliding with a potential barrier. To partially overcome the analytical difficulties which frequently arise when the stationary phase method is employed for deriving phase (tunneling) time expressions, we present a theoretical exercise involving a symmetrical collision between two identical wave packets and an one-dimensional rectangular potential barrier. Summing the amplitudes of the reflected and transmitted waves - using a method we call multiple peak decomposition - is shown to allow reconstruction of the scattered wave packets in a way which allows the stationary phase principle to be recovered.
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"abstract": "Using a recently developed procedure - multiple wave packet decomposition -\nhere we study the phase time formulation for tunneling/reflecting particles\ncolliding with a potential barrier. To partially overcome the analytical\ndifficulties which frequently arise when the stationary phase method is\nemployed for deriving phase (tunneling) time expressions, we present a\ntheoretical exercise involving a symmetrical collision between two identical\nwave packets and an one-dimensional rectangular potential barrier. Summing the\namplitudes of the reflected and transmitted waves - using a method we call\nmultiple peak decomposition - is shown to allow reconstruction of the scattered\nwave packets in a way which allows the stationary phase principle to be\nrecovered.",
"arxiv_id": "quant-ph/0701010",
"authors": [
"Alex E. Bernardini"
],
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"quant-ph"
],
"doi": "10.1103/PhysRevA.74.062111",
"journal_ref": "Phys. Rev. A74 (2006) 062111",
"title": "Limitations on the principle of stationary phase when it is applied to tunneling analysis",
"url": "https://arxiv.org/abs/quant-ph/0701010"
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