We derive a generalized zero-range pseudopotential applicable to all partial wave solutions to the Schrödinger equation based on a delta-shell potential in the limit that the shell radius approaches zero. This properly models all higher order multipole moments not accounted for with a monopolar delta function at the origin, as used in the familiar Fermi pseudopotential for s-wave scattering. By making the strength of the potential energy dependent, we derive self-consistent solutions for the entire energy spectrum of the realistic potential. We apply this to study two particles in an isotropic harmonic trap, interacting through a central potential, and derive analytic expressions for the energy eigenstates and eigenvalues.
Download full-text PDF |
Source |
|---|---|
| http://dx.doi.org/10.1103/PhysRevLett.94.023202 | DOI Listing |
Publication Analysis
Top Keywords
Similar Publications
A Longitudinal Investigation of Trans and Nonbinary Youth Identity: Individual Processes and Family Agreement in the Trans Teen and Family Narratives Project.
LGBTQ Fam
June 2024
Division of Adolescent/Young Adult Medicine, Boston Children's Hospital, Department of Pediatrics, Harvard Medical School, Department of Social and Behavioral Sciences, Harvard T. H. Chan School of Public Health, 300 Longwood Ave, Boston, MA 02115.
Few studies have focused on transgender and nonbinary youths' (TNBY) gender development and even less well understood is how family members understand TNBY identity. The current study investigated: a) how TNBY describe their gender identity over time, and b) how family members understand TNBY gender identity over time. The baseline sample included 96 members of 33 families (33 TNBY, 48 cisgender caregivers, 15 siblings) from the United States; 30 families continued after Wave 1.
View Article and Find Full Text PDFMothers' and Fathers' Experiences of Family Relations and Parenting During the First Year of Parenthood.
Psych J
January 2025
The Centre for Research on Intelligence and Cognitive Well-Being, Institute for Cognitive Neuroscience, Higher School of Economics, Moscow, Russia.
The first year of parenthood is considered to be a challenging period, associated with the transformation of family relations. The links between family relations and parenting are widely studied. However, in most research only a limited number of indicators is investigated, and there is a lack of data on the agreement between mothers' and fathers' evaluations of family relations.
View Article and Find Full Text PDFModulating Electronic Spin State of Perovskite Fluoride by Ni─F─Mn Bond Activating the Dynamic Site of Oxygen Reduction Reaction.
Small
January 2025
Beijing Key Laboratory of Energy Conversion and Storage Materials, College of Chemistry, Beijing Normal University, Beijing, 100875, P. R. China.
Establishing the relationship between catalytic performance and material structure is crucial for developing design principles for highly active catalysts. Herein, a type of perovskite fluoride, NHMnF, which owns strong-field coordination including fluorine and ammonia, is in situ grown on carbon nanotubes (CNTs) and used as a model structure to study and improve the intrinsic catalytic activity through heteroatom doping strategies. This approach optimizes spin-dependent orbital interactions to alter the charge transfer between the catalyst and reactants.
View Article and Find Full Text PDFSARS-CoV-2 transmission dynamics in Mozambique and Zimbabwe during the first 3 years of the pandemic.
R Soc Open Sci
January 2025
Department of Environmental Health Sciences, Mailman School of Public Health, Columbia University, New York, NY 10032, USA.
The 2019 emergence of severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2) and its rapid spread created a public health emergency of international concern. However, the impact of the pandemic in Sub-Saharan Africa, as documented in cases, hospitalizations and deaths, appears far lower than in the Americas, Europe and Asia. Characterization of the transmission dynamics is critical for understanding how SARS-CoV-2 spreads and the true scale of the pandemic.
View Article and Find Full Text PDFMetacavities by harnessing the linear-crossing metamaterials.
Nanophotonics
January 2025
MOE Key Laboratory of Advanced Micro-Structured Materials, School of Physics Science and Engineering Tongji University, Shanghai 200092, China.
The formed optical cavity mode intensively relies on the size and geometry of optical cavity. When the defect or impurity exists inside the cavity, the formed cavity mode will be destroyed. Here, we propose a metacavity consisting of arrays of linear-crossing metamaterials (LCMMs) with abnormal dispersion, where each LCMM offers both the directional propagation channel for all incident angles and the negative refraction across its neighboring LCMMs.
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!