Noether Symmetries Quantization and Superintegrability of Biological Models

被引：9

作者：

Nucci, Maria Clara ^{[1
]}

Sanchini, Giampaolo ^{[1
]}

机构：

[1] Univ Perugia, Dipartimento Matemat & Informat, I-06123 Perugia, Italy

来源：

SYMMETRY-BASEL | 2016年 / 8卷 / 12期

关键词：

Lie symmetries; Jacobi last multiplier; Lagrangians; Noether symmetries; classical quantization; superintegrability; Easter Island population; EASTER-ISLAND; LIE; LAGRANGIANS; EQUATIONS; JACOBI; SYSTEM;

D O I：

10.3390/sym8120155

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

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.

引用

页数：9

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