{"title":"Relationship between Classical and Quantum Mechanics in Micellar Aqueous Solutions of Surfactants","authors":"Partha Ghose, Yuri Mirgorod","doi":"10.3103/S1541308X24010072","DOIUrl":null,"url":null,"abstract":"<p>Micellar aqueous solutions of ionic surfactants have been observed to exhibit proton delocalization (the nuclear quantum effect) and to oscillate between a low density (LDL) and a high-density liquid (HDL) state of water at a fixed temperature. It is shown in this paper that such phenomena can be explained with the help of the interpolating Schrӧdinger equation proposed by Ghose. The nuclear quantum effect can be described by the tunneling of a harmonic oscillator in a symmetric double-well potential, and an ensemble of harmonic oscillators can model the LDL-HDL oscillations. The thermodynamics of such harmonic oscillators has been worked out showing continuous transitions between the quantum and classical limits.</p>","PeriodicalId":732,"journal":{"name":"Physics of Wave Phenomena","volume":"32 1","pages":"34 - 42"},"PeriodicalIF":1.1000,"publicationDate":"2024-03-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Physics of Wave Phenomena","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.3103/S1541308X24010072","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
Abstract
Micellar aqueous solutions of ionic surfactants have been observed to exhibit proton delocalization (the nuclear quantum effect) and to oscillate between a low density (LDL) and a high-density liquid (HDL) state of water at a fixed temperature. It is shown in this paper that such phenomena can be explained with the help of the interpolating Schrӧdinger equation proposed by Ghose. The nuclear quantum effect can be described by the tunneling of a harmonic oscillator in a symmetric double-well potential, and an ensemble of harmonic oscillators can model the LDL-HDL oscillations. The thermodynamics of such harmonic oscillators has been worked out showing continuous transitions between the quantum and classical limits.
期刊介绍：
Physics of Wave Phenomena publishes original contributions in general and nonlinear wave theory, original experimental results in optics, acoustics and radiophysics. The fields of physics represented in this journal include nonlinear optics, acoustics, and radiophysics; nonlinear effects of any nature including nonlinear dynamics and chaos; phase transitions including light- and sound-induced; laser physics; optical and other spectroscopies; new instruments, methods, and measurements of wave and oscillatory processes; remote sensing of waves in natural media; wave interactions in biophysics, econophysics and other cross-disciplinary areas.
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