We observe that the number of bound states is finite. The spacing between the different eigenvalues increases with increasing energy. For a given value the lowest-lying state has no node in r , the next one has one node, and so on. We can enumerate the eigenvalues E nl , n = 1, 2...
Introduction Bound states in the continuum (BICs) are ubiquitous in Physics as a general ondulatory phenomenon1. All such states exhibit the common fascinating property that they remain localized despite coexisting with the continuum of radiating channels. First proposed in quantum mechanics, they have...
Bound states in the continuum (BICs) are non-leaky localized resonance modes that coexist with a continuous frequency spectrum of radiating waves1,2,3,4. They are defined as the non-radiative eigensolutions of wave equation that are located above the light cone. As BICs will not radiate to ...
BoundStatesBoundStates1.1.Aquickreviewonthechapters2to5.Aquickreviewonthechapters2to5.2.2.Quiz10.9.Quiz10.9.3.3.TopicsinBoundStates:TopicsinBoundStates: TheSchrödingerequation.TheSchrödingerequation. StationaryStates.StationaryStates. Physicalconditions:well-behavedfunctions.Physicalconditions:well-behavedfunct...
Positive-energy Bound States in Quantum Mechanics 来自 adsabs.harvard.edu 喜欢 0 阅读量: 10 作者: AV Rokhlenko 展开 摘要: Not Available 展开 关键词: n34500* --physics (high energy)--scattering theory binding energy bound state cross sections differential equations elementary particles ...
Models of these kinds, known as kink models are obtained in quantum field theory as the continuum limit of linear polymer models [6]. In a recent paper the complete set of bound states of fermions in the presence of this sort of kink-like smooth step potential has been addressed by ...
On the basis of Nelson's stochastic mechanics derivation of the Schrödinger equation, a formal mathematical structure of non-relativistic quantum mechanics equivalent to the one in classical analytical mechanics has been established in the literature. We recently were able to augment this structure by...
Quantum mechanics in a one-parameter family of volcano potentials is investigated. After a discussion on their construction and classical mechanics, we obtain exact, normalizable bound states for specific values of the energy. The nature of the wave functions and probability densities, as well as ...
Bound States in the Continuum from Supersymmetric Quantum Mechanics Starting from a potential with a continuum of energy eigenstates, we show how the methods of supersymmetric quantum mechanics can be used to generate famil... J Pappademos,U Sukhatme,A Pagnamenta - 《Physics》 被引量: 97发表:...
Bound states in the continuum (BICs) are waves that remain localized even though they coexist with a continuous spectrum of radiating waves that can carry energy away. Their very existence defies conventional wisdom. Although BICs were first proposed in quantum mechanics, they are a general wave ...