Mesoscopic dual transmission line with discrete charge

K. J. Chandía; J. C. Flores

doi:10.1163/156939309789023574

Mesoscopic dual transmission line with discrete charge

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Abstract

In this work, we consider a mesoscopic dual transmission line. First we analyze the classic case and we found the Lagrangian and Hamiltonian for this system. Next, we analyze the quantum case and consider the charge discreteness. We found a Hamiltonian that in the limit when q_e → 0 reproduces the correct motion equations. This Hamiltonian differs from the other one in a previous work [1]. Using Caldirola-Kanai method we incorporate electrical resistance in the system and obtain the correct motion equations.

Original language	English
Pages (from-to)	1021-1028
Number of pages	8
Journal	Journal of Electromagnetic Waves and Applications
Volume	23
Issue number	8-9
DOIs	https://doi.org/10.1163/156939309789023574
State	Published - 2009

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10.1163/156939309789023574

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title = "Mesoscopic dual transmission line with discrete charge",

abstract = "In this work, we consider a mesoscopic dual transmission line. First we analyze the classic case and we found the Lagrangian and Hamiltonian for this system. Next, we analyze the quantum case and consider the charge discreteness. We found a Hamiltonian that in the limit when qe → 0 reproduces the correct motion equations. This Hamiltonian differs from the other one in a previous work [1]. Using Caldirola-Kanai method we incorporate electrical resistance in the system and obtain the correct motion equations.",

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T1 - Mesoscopic dual transmission line with discrete charge

AU - Chandía, K. J.

AU - Flores, J. C.

PY - 2009

Y1 - 2009

N2 - In this work, we consider a mesoscopic dual transmission line. First we analyze the classic case and we found the Lagrangian and Hamiltonian for this system. Next, we analyze the quantum case and consider the charge discreteness. We found a Hamiltonian that in the limit when qe → 0 reproduces the correct motion equations. This Hamiltonian differs from the other one in a previous work [1]. Using Caldirola-Kanai method we incorporate electrical resistance in the system and obtain the correct motion equations.

AB - In this work, we consider a mesoscopic dual transmission line. First we analyze the classic case and we found the Lagrangian and Hamiltonian for this system. Next, we analyze the quantum case and consider the charge discreteness. We found a Hamiltonian that in the limit when qe → 0 reproduces the correct motion equations. This Hamiltonian differs from the other one in a previous work [1]. Using Caldirola-Kanai method we incorporate electrical resistance in the system and obtain the correct motion equations.

UR - https://www.scopus.com/pages/publications/69249130964

U2 - 10.1163/156939309789023574

DO - 10.1163/156939309789023574

M3 - Article

AN - SCOPUS:69249130964

SN - 0920-5071

VL - 23

SP - 1021

EP - 1028

JO - Journal of Electromagnetic Waves and Applications

JF - Journal of Electromagnetic Waves and Applications

IS - 8-9

ER -

Mesoscopic dual transmission line with discrete charge

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