A double chain of coupled circuits in analogy with mechanical lattices
A unitary transformation obtained from group theoretical considerations is applied to the problem of finding the resonant frequencies of a system of coupled LC-circuits. This transformation was previously derived to separate the equations of motion for one dimensional mechanical lattices. Computatio...
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| Format: | Article |
| Language: | English |
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Wiley
1991-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171291000480 |
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| _version_ | 1849307354117439488 |
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| author | J. N. Boyd P. N. Raychowdhury |
| author_facet | J. N. Boyd P. N. Raychowdhury |
| author_sort | J. N. Boyd |
| collection | DOAJ |
| description | A unitary transformation obtained from group theoretical considerations is applied to the problem of
finding the resonant frequencies of a system of coupled LC-circuits. This transformation was previously derived to
separate the equations of motion for one dimensional mechanical lattices. Computations are performed in matrix
notation. The electrical system is an analog of a pair of coupled linear lattices. After the resonant frequencies have
been found, comparisons between the electrical and mechanical systems are noted. |
| format | Article |
| id | doaj-art-28e11ef4e2724a4da3199eedf9e22b26 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1991-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-28e11ef4e2724a4da3199eedf9e22b262025-08-20T03:54:47ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251991-01-0114240340610.1155/S0161171291000480A double chain of coupled circuits in analogy with mechanical latticesJ. N. Boyd0P. N. Raychowdhury1Department of Mathematical Sciences, Virginia Commonwealth University, Richmond 23284, Virginia, USADepartment of Mathematical Sciences, Virginia Commonwealth University, Richmond 23284, Virginia, USAA unitary transformation obtained from group theoretical considerations is applied to the problem of finding the resonant frequencies of a system of coupled LC-circuits. This transformation was previously derived to separate the equations of motion for one dimensional mechanical lattices. Computations are performed in matrix notation. The electrical system is an analog of a pair of coupled linear lattices. After the resonant frequencies have been found, comparisons between the electrical and mechanical systems are noted.http://dx.doi.org/10.1155/S0161171291000480Born cyclic conditionunitary transformationsymmetry grouplagrangin matrixcoupled transmission lines. |
| spellingShingle | J. N. Boyd P. N. Raychowdhury A double chain of coupled circuits in analogy with mechanical lattices International Journal of Mathematics and Mathematical Sciences Born cyclic condition unitary transformation symmetry group lagrangin matrix coupled transmission lines. |
| title | A double chain of coupled circuits in analogy with mechanical lattices |
| title_full | A double chain of coupled circuits in analogy with mechanical lattices |
| title_fullStr | A double chain of coupled circuits in analogy with mechanical lattices |
| title_full_unstemmed | A double chain of coupled circuits in analogy with mechanical lattices |
| title_short | A double chain of coupled circuits in analogy with mechanical lattices |
| title_sort | double chain of coupled circuits in analogy with mechanical lattices |
| topic | Born cyclic condition unitary transformation symmetry group lagrangin matrix coupled transmission lines. |
| url | http://dx.doi.org/10.1155/S0161171291000480 |
| work_keys_str_mv | AT jnboyd adoublechainofcoupledcircuitsinanalogywithmechanicallattices AT pnraychowdhury adoublechainofcoupledcircuitsinanalogywithmechanicallattices AT jnboyd doublechainofcoupledcircuitsinanalogywithmechanicallattices AT pnraychowdhury doublechainofcoupledcircuitsinanalogywithmechanicallattices |