dorsal/arxiv
View SchemaOne-dimensional completed scattering and quantum nonlocality of entangled states
| Authors | N. L. Chuprikov |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0602172 |
| URL | https://arxiv.org/abs/quant-ph/0602172 |
Abstract
Entanglement is usually associated with compound systems. We first show that a one-dimensional (1D) completed scattering of a particle on a static potential barrier represents an entanglement of two alternative one-particle sub-processes, transmission and reflection, macroscopically distinct at the final stage of scattering. The wave function for the whole ensemble of scattering particles can be uniquely presented as the sum of two isometrically evolved wave packets to describe the (to-be-)transmitted and (to-be-)reflected subensembles of particles at all stages of scattering. A noninvasive Larmor-clock timing procedure adapted to either subensemble shows that namely the dwell time gives the time spent, on the average, by a particle in the barrier region, and it denies the Hartman effect. As regards the group time, it cannot be measured and hence it cannot be accepted as a measure of the tunneling time. We argue that nonlocality of entangled states appears in quantum mechanics due to inconsistency of its superposition principle with the corpuscular properties of a particle. For example, this principle associates a 1D completed scattering with a single (one-way) process, while a particle, as an indivisible object, cannot take part in transmission and reflection, simultaneously.
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"abstract": "Entanglement is usually associated with compound systems. We first show that\na one-dimensional (1D) completed scattering of a particle on a static potential\nbarrier represents an entanglement of two alternative one-particle\nsub-processes, transmission and reflection, macroscopically distinct at the\nfinal stage of scattering. The wave function for the whole ensemble of\nscattering particles can be uniquely presented as the sum of two isometrically\nevolved wave packets to describe the (to-be-)transmitted and (to-be-)reflected\nsubensembles of particles at all stages of scattering. A noninvasive\nLarmor-clock timing procedure adapted to either subensemble shows that namely\nthe dwell time gives the time spent, on the average, by a particle in the\nbarrier region, and it denies the Hartman effect. As regards the group time, it\ncannot be measured and hence it cannot be accepted as a measure of the\ntunneling time. We argue that nonlocality of entangled states appears in\nquantum mechanics due to inconsistency of its superposition principle with the\ncorpuscular properties of a particle. For example, this principle associates a\n1D completed scattering with a single (one-way) process, while a particle, as\nan indivisible object, cannot take part in transmission and reflection,\nsimultaneously.",
"arxiv_id": "quant-ph/0602172",
"authors": [
"N. L. Chuprikov"
],
"categories": [
"quant-ph"
],
"title": "One-dimensional completed scattering and quantum nonlocality of entangled states",
"url": "https://arxiv.org/abs/quant-ph/0602172"
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