ISOSPECTRAL INTERACTIONS FOR THREE-BODY PROBLEMS ON THE LINE

1996 ◽  
Vol 11 (26) ◽  
pp. 2129-2138
Author(s):  
P.K. BERA ◽  
M.M. PANJA ◽  
B. TALUKDAR
Keyword(s):  
Quantum Mechanics ◽  
Body Problem ◽  
Supersymmetric Quantum Mechanics ◽  
Individual Member ◽  
Two Body Problem ◽  
The Family ◽  
The Individual ◽  
Three Body ◽  
Math Phys

The algebraic methods of supersymmetric quantum mechanics are used to construct isospectral Hamiltonians for the three-particle Calogero problem [F. Calogero, J. Math. Phys. 10, 2191 (1969)]. The similarity and points of contrast of the present study with the corresponding two-body problem are discussed. It is found that the family of isospectral interactions is determined essentially by the angular part of the potential in the basic Hamiltonian. A case study is presented to investigate the nature of the individual member in the family.

Unsustainable Capitalism

2001 ◽  
Vol 8 (1) ◽  
pp. 31-34
Author(s):  
Allan Macinnes
Keyword(s):  
Material Culture ◽  
Social Relationships ◽  
Culture Change ◽  
Critical Period ◽  
Settlement Patterns ◽  
Ongoing Debate ◽  
Important Distinction ◽  
The Family ◽  
The Individual

This paper makes an important, interdisciplinary contribution, to the ongoing debate on the transition from clanship to capitalism. Integral to this contribution is the important distinction between capitalism as an individualist ideology and capitalist societies where individualism is a widespread but not necessarily a universal ideology. His concern is not with the bipolar opposition of landlord and people which tends to dominate debates on the land issue in the Highlands. Instead, he focuses on material culture change in relation to landscape organisation, settlement patterns and morphology in order to examine how social relationships were structured during the critical period of estate re-orientation often depicted progressively as Improvement but regressively as clearance through the removal and relocation of population. His case study on Kintyre is particularly valuable. By scrutinising spatial as well as social relationships Dalglish demonstrates that clanship was based as much on daily practices of living as on an patrimonial ideology of kinship, practices which led the House of Argyll to attempt the reinvention of concepts of occupancy in order to emphasise the importance of the individual over the family through partitioned space.

Three-body Algebraic Theory

1995 ◽  
Author(s):  
F. Iachello ◽  
R. D. Levine
Keyword(s):  
Quantum Mechanics ◽  
Degrees Of Freedom ◽  
Differential Operators ◽  
Algebraic Theory ◽  
Many Body ◽  
Two Body Problem ◽  
Three Body ◽  
Schrödinger Picture ◽  
Algebraic Operators

In the previous chapter we discussed the usual realization of many-body quantum mechanics in terms of differential operators (Schrödinger picture). As in the case of the two-body problem, it is possible to formulate many-body quantum mechanics in terms of algebraic operators. This is done by introducing, for each coordinate r1,r2,... and momentum p1, p2, . . . , boson creation and annihilation operators, b†iα, biα. The index i runs over the number of relevant degrees of freedom, while the index α runs from 1 to n + 1, where n is the number of space dimensions (see note 3 of Chapter 2). The boson operators satisfy the usual commutation relations, which are for i ≠ j, . . . [biα, b†jα´] = 0, [biα, bjα´] = 0,. . . . . .[bjα, b†iα´] = 0, [b†jα, b†iα´] = 0,. . . . . . [biα, b†iα´] = ẟαα´, [biα, b†iα´] = 0, [b†iα, b†iα´] = 0. . . .

scholarly journals A Complete Family of Periodic Solutions of the Planar Three-Body Problem and their Stability

1977 ◽  
Vol 33 ◽  
pp. 159-159
Author(s):  
M. Hénon
Keyword(s):  
Periodic Solutions ◽  
Periodic Orbits ◽  
Body Problem ◽  
The Other ◽  
Three Body Problem ◽  
Complete Family ◽  
First Order ◽  
Hierarchical Arrangement ◽  
The Family ◽  
Three Body

AbstractWe give a complete description of a one-parameter family of periodic orbits in the planar problem of three bodies with equal masses. This family begins with a rectilinear orbit, computed by Schubart in 1956. It ends in retrograde revolution, i.e., a hierarchy of two binaries rotating in opposite directions. The first-order stability of the orbits in the plane is also computed. Orbits of the retrograde revolution type are stable; more unexpectedly, orbits of the “interplay” type at the other end of the family are also stable. This indicates the possible existence of triple stars with a motion entirely different from the usual hierarchical arrangement.

The Impact of Disability: A Family Crisis

1982 ◽  
Vol 13 (3) ◽  
pp. 25-29 ◽  
Author(s):  
Susan Reagles
Keyword(s):  
Social Adjustment ◽  
Typical Pattern ◽  
Family Crisis ◽  
The Family ◽  
Individual Family ◽  
Adjustment To Disability ◽  
The Individual ◽  
Adjustment Issues ◽  
The Impact

A disability experienced by one family member impacts on all individuals in the family unit and influences their typical pattern of interaction. The process of individual and family adjustment to disability, a family crisis, is seen in a case study of Sam and his diagnosis of multiple sclerosis. The individual, family and social adjustment issues, including redefinition of family, social, sexual and work roles, are examined in a real live context. Tentative recommendations for professionals working with families in which an individual becomes disabled are developed from personal interviews with Sam and his family.

scholarly journals STANDARDS OF KNOWLEDGE THAT FOUND NURSING PERFORMANCE IN HOME CARE

2020 ◽  
Vol 29 ◽  
Author(s):  
Angélica Mônica Andrade ◽  
Patrícia Pinto Braga ◽  
Maria Ribeiro Lacerda ◽  
Elysangela Dittz Duarte ◽  
Laerte Honorato Borges Junior ◽  
...  
Keyword(s):  
Home Care ◽  
Critical Discourse Analysis ◽  
Participant Observation ◽  
Single Case ◽  
Home Care Services ◽  
Care Services ◽  
The Family ◽  
The Individual ◽  
Care Innovation

ABSTRACT Objective: to analyze the knowledge standards that found nursing practices in the home care setting. Method: qualitative study using a single case study strategy, supported by the dialectical methodological framework. Thirteen nurses who work in home care services from two municipalities in Minas Gerais, Brazil, participated. The data were obtained in 266.5 hours of participant observation and 8 hours and 58 minutes of interview and submitted to Critical Discourse Analysis. Results: empirical knowledge was revealed to be fundamental for clinical, managerial and educational care at home. The adaptations specific to this environment require aesthetic knowledge. The relational and educational actions, the decisions responsible for benefiting the individual and his family, the doubt and willingness to learn when dealing with unpredictable cases and the assessment of the socioeconomic conditions of the family, represent, respectively, personal, ethical, lack of knowledge and sociopolitical aspects present in the practice of nurses in home care. Conclusion: the particularities of home care trigger different patterns of knowledge to ensure creative, sensitive, human and responsible care. Innovation and availability to learn are part of nurses' performance in home care. The need for differentiated training is reinforced in order to respond to the increasing complexity in this field.

scholarly journals 8. Asteroid Versus Comet Discrimination from Orbital Data

1977 ◽  
Vol 39 ◽  
pp. 313-321 ◽  
Author(s):  
L. Kresak
Keyword(s):  
Body Problem ◽  
Secondary Source ◽  
Cometary Nuclei ◽  
Meteor Streams ◽  
Two Body Problem ◽  
The Earth ◽  
Short Period ◽  
Three Body ◽  
Evolutionary Paths ◽  
Orbital Data

The orbital comet-asteroid criteria, their premises, dynamical reasoning, and ranges of applicability are reviewed. Mapping of all known comets and asteroids in a plane of energy intergral in the two body problem (1/a) vs. that in the restricted three-body problem (Tisserand invariant) is presented. The potential evolutionary paths from different sources of active comets into short-period orbits are delineated and interfaced with the process of reducing the perihelion distances of the asteroids. The significance of resonances with Jupiter is emphasized. Statistics of observed close approaches of individual comets and asteroids to the Earth is analyzed to estimate their relative fluxes. Active cometary nuclei are found to represent about 1/8 of the flux of objects with radii exceeding 1 km in the vicinity of the Earth, and their contribution tends to diminish significantly for still smaller bodies. However, there is no evidence against comets leaving inactive asteroid-like nuclei with considerable lifetimes which may represent a significant, though secondary, source of meteors and even meteor streams. An overwhelming majority of the Apollo and Amor objects are suggested to be of asteroidal nature; the most probable exceptions are selected and recommended for detailed observation.

scholarly journals Initial Parameter Analysis about Resonant Orbits in Earth-Moon System

2019 ◽  
Vol 2019 ◽  
pp. 1-17
Author(s):  
Li-Bo Liu ◽  
Ying-Jing Qian ◽  
Xiao-Dong Yang
Keyword(s):  
Body Problem ◽  
Parameter Analysis ◽  
Initial Parameter ◽  
The Moon ◽  
Three Body Problem ◽  
Ballistic Capture ◽  
Moon System ◽  
Two Body Problem ◽  
Resonant Orbits ◽  
Three Body

The initial parameters about resonant orbits in the Earth-Moon system were investigated in this study. Resonant orbits with different ratios are obtained in the two-body problem and planar circular restricted three-body problem (i.e., PCRTBP). It is found that the eccentricity and initial phase are two important initial parameters of resonant orbits that affect the closest distance between the spacecraft and the Moon. Potential resonant transition or resonant flyby may occur depending on the possibility of the spacecraft approaching the Moon. Based on an analysis of ballistic capture and flyby, the Kepler energy and the planet’s perturbed gravitational sphere are used as criteria to establish connections between the initial parameters and the possible “steady” resonant orbits. The initial parameter intervals that can cause instability of the resonant orbits in the CRTBP are obtained. Examples of resonant orbits in 1:2 and 2:1 resonances are provided to verify the proposed criteria.

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