AI Article Synopsis
- The study presents new conditions called general coalescence conditions (GCCs) that many-particle wave functions must meet at a point where two particles coalesce.
- Kato's cusp condition (CC) and Rassolov and Chipman's CC are known examples included as special cases within the GCC framework.
- The correctness of these GCCs was verified through specific examples involving harmonium and helium atom wave functions in coalescence scenarios.
Article Abstract
We derived the necessary conditions that must be satisfied by the non-relativistic time-independent exact wave functions for many-particle systems at a two-particle coalescence (or cusp) point. Some simple conditions are known to be Kato's cusp condition (CC) and Rassolov and Chipman's CC. In a previous study, we derived an infinite number of necessary conditions that two-particle wave functions must satisfy at a coalescence point. In the present study, we extend these conditions to many-particle systems. They are called general coalescence conditions (GCCs), and Kato's CC and Rassolov and Chipman's CC are included as special conditions. GCCs can be applied not only to Coulombic systems but also to any system in which the interaction between two particles is represented in a power series of inter-particle distances. We confirmed the correctness of our derivation of the GCCs by applying the exact wave function of a harmonium in electron-electron and electron-nucleus coalescence situations. In addition, we applied the free complement (FC) wave functions of a helium atom to the GCCs to examine the accuracy of the FC wave function in the context of a coalescence situation.
Download full-text PDF |
Source |
|---|---|
| http://dx.doi.org/10.1063/1.4879266 | DOI Listing |
Publication Analysis
Top Keywords
Similar Publications
Unipolar Barrier Photodetectors Based on Van Der Waals Heterostructure with Ultra-High Light On/Off Ratio and Fast Speed.
Adv Sci (Weinh)
January 2025
Information Materials and Intelligent Sensing Laboratory of Anhui Province, Key Laboratory of Structure and Functional Regulation of Hybrid Materials of Ministry of Education, Institutes of Physical Science and Information Technology, Anhui University, 111 Jiu Long Road, Hefei, 230601, China.
Unipolar barrier architecture is designed to enhance the photodetector's sensitivity by inducing highly asymmetrical barriers, a higher barrier for blocking majority carriers to depressing dark current, and a low minority carrier barrier without impeding the photocurrent flow through the channel. Depressed dark current without block photocurrent is highly desired for uncooled Long-wave infrared (LWIR) photodetection, which can enhance the sensitivity of the photodetector. Here, an excellent unipolar barrier photodetector based on multi-layer (ML) graphene (G) is developed, WSe, and PtSe (G-WSe-PtSe) van der Waals (vdW) heterostructure, in which extremely low dark current of 1.
View Article and Find Full Text PDFSpillover effect of children's education on parental physical functioning over the life course.
Sci Rep
January 2025
School of Public Administration, South China University of Technology, Guangzhou, China.
Parental well-being is linked to the life chances of adult children in later life. Despite accumulated knowledge on the role of children's education on parental longevity in developed contexts, it remains unknown how children's education may influence the trajectories of parental physical well-being over the aging process, particularly in developing contexts. Using a growth curve model and four-wave data from the China Health and Retirement Longitudinal Study, this study examines the association between children's education and parental physical functioning trajectories as parents age.
View Article and Find Full Text PDFSuccessful pregnancy of an SMA type 3 sitter on Nusinersen therapy - a case report.
BMC Neurol
January 2025
Department of Neurology, Friedrich-Baur-Institute, Ludwig-Maximilians-University of Munich, Munich, Germany.
Background: Due to improved treatment options, more SMA patients reach childbearing age. Currently, limited data on pregnant SMA patients is available, especially in relation to disease-modifying therapies (DMT). This case report helps to elucidate new approaches for future guidelines in the management of pregnancy and SMA.
View Article and Find Full Text PDFSweat chloride reflects CFTR function and correlates with clinical outcomes following CFTR modulator treatment.
J Cyst Fibros
January 2025
Cystic Fibrosis Therapeutics Development Network Coordinating Center, Seattle Children's Hospital, Seattle, WA, USA; Department of Pediatrics, University of Washington, Seattle, WA, USA; Department of Biostatistics, University of Washington, Seattle, WA, USA.
Background: Highly effective CFTR modulators improve CFTR function and lead to dramatic improvements in health outcomes in many people with cystic fibrosis (pwCF). The relationship between measures of CFTR function, such as sweat chloride concentration, and clinical outcomes in pwCF treated with CFTR modulators is poorly defined. We conducted analyses to better understand the relationships between sweat chloride and CFTR function in vitro, and between sweat chloride and clinical outcomes following CFTR modulator treatment.
View Article and Find Full Text PDFCa²⁺ signaling in myenteric interstitial cells of Cajal (ICC-MY) and their role as conditional pacemakers in the colon.
Cell Calcium
December 2024
Department of Physiology and Cell Biology, University of Nevada Reno School of Medicine, Reno, NV, 89557, USA. Electronic address:
Interstitial cells of Cajal in the plane of the myenteric plexus (ICC-MY) serve as electrical pacemakers in the stomach and small intestine. A similar population of cells is found in the colon, but these cells do not appear to generate regular slow wave potentials, as characteristic in more proximal gut regions. Ca handling mechanisms in ICC-MY of the mouse proximal colon were studied using confocal imaging of muscles from animals expressing GCaMP6f exclusively in ICC.
View Article and Find Full Text PDFWant AI Summaries of new PubMed Abstracts delivered to your In-box?
Enter search terms and have AI summaries delivered each week - change queries or unsubscribe any time!