Noether Symmetries Quantization and Superintegrability of Biological Models
It is shown that quantization and superintegrability are not concepts that are inherent to classical Physics alone. Indeed, one may quantize and also detect superintegrability of biological models by means of Noether symmetries. We exemplify the method by using a mathematical model that was proposed...
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| Format: | Article |
| Language: | English |
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MDPI AG
2016-12-01
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| Series: | Symmetry |
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| Online Access: | http://www.mdpi.com/2073-8994/8/12/155 |
| _version_ | 1798038071662346240 |
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| author | Maria Clara Nucci Giampaolo Sanchini |
| author_facet | Maria Clara Nucci Giampaolo Sanchini |
| author_sort | Maria Clara Nucci |
| collection | DOAJ |
| description | It is shown that quantization and superintegrability are not concepts that are inherent to classical Physics alone. Indeed, one may quantize and also detect superintegrability of biological models by means of Noether symmetries. We exemplify the method by using a mathematical model that was proposed by Basener and Ross (2005), and that describes the dynamics of growth and sudden decrease in the population of Easter Island. |
| first_indexed | 2024-04-11T21:35:13Z |
| format | Article |
| id | doaj.art-e127e3ce7aac48f58d8c15fc102f2902 |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-04-11T21:35:13Z |
| publishDate | 2016-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-e127e3ce7aac48f58d8c15fc102f29022022-12-22T04:01:47ZengMDPI AGSymmetry2073-89942016-12-0181215510.3390/sym8120155sym8120155Noether Symmetries Quantization and Superintegrability of Biological ModelsMaria Clara Nucci0Giampaolo Sanchini1Dipartimento di Matematica e Informatica, Università degli Studi di Perugia, 06123 Perugia, ItalyDipartimento di Matematica e Informatica, Università degli Studi di Perugia, 06123 Perugia, ItalyIt is shown that quantization and superintegrability are not concepts that are inherent to classical Physics alone. Indeed, one may quantize and also detect superintegrability of biological models by means of Noether symmetries. We exemplify the method by using a mathematical model that was proposed by Basener and Ross (2005), and that describes the dynamics of growth and sudden decrease in the population of Easter Island.http://www.mdpi.com/2073-8994/8/12/155Lie symmetriesJacobi last multiplierLagrangiansNoether symmetriesclassical quantizationsuperintegrabilityEaster Island population |
| spellingShingle | Maria Clara Nucci Giampaolo Sanchini Noether Symmetries Quantization and Superintegrability of Biological Models Symmetry Lie symmetries Jacobi last multiplier Lagrangians Noether symmetries classical quantization superintegrability Easter Island population |
| title | Noether Symmetries Quantization and Superintegrability of Biological Models |
| title_full | Noether Symmetries Quantization and Superintegrability of Biological Models |
| title_fullStr | Noether Symmetries Quantization and Superintegrability of Biological Models |
| title_full_unstemmed | Noether Symmetries Quantization and Superintegrability of Biological Models |
| title_short | Noether Symmetries Quantization and Superintegrability of Biological Models |
| title_sort | noether symmetries quantization and superintegrability of biological models |
| topic | Lie symmetries Jacobi last multiplier Lagrangians Noether symmetries classical quantization superintegrability Easter Island population |
| url | http://www.mdpi.com/2073-8994/8/12/155 |
| work_keys_str_mv | AT mariaclaranucci noethersymmetriesquantizationandsuperintegrabilityofbiologicalmodels AT giampaolosanchini noethersymmetriesquantizationandsuperintegrabilityofbiologicalmodels |