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  • 2010-2014  (4)
  • 1990-1994  (3)
  • 1
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 33 (1992), S. 297-303 
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: The algebraic method of separation of variables in the Dirac equation proposed in earlier works by one of the present authors [Theor. Math. Phys. 70, 204 (1987); J. Math. Phys. 30, 2132 (1989)] is developed for the space-time with nondiagonal metrics. The essence of the method consists of the separation of the first-order matricial differential operators that define the dependence of the Dirac's bispinor on the related variables. In contrast to some other authors the pairs of operators are commuted on each step of separation including the variables mixed by nondiagonal elements of fundamental tensor of space-time. There are reasons to believe that it must be some local similarity transformation connected these commuted operators with noncommuted corresponding operators of other authors, although such transformation in view of mathematical difficulties of problem, in general, were not successfully found.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 32 (1991), S. 3184-3188 
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: The method of separation of variables in the Dirac equation proposed in an earlier work by one of the present authors [J. Math. Phys. 30, 2132 (1989)] is developed for the complete set of interactions of the Dirac particle. The essence of the method consists of the separation of the first-order matrix differential operators that define the dependence of the Dirac bispinor on the related variables, but commutation of such operators with or between the operator of the equation is not assumed. This approach, which is perfectly justified in the presence of gravitational [Theor. Math. Phys. 70, 204 (1987)] or vector fields [J. Math. Phys. 30, 2132 (1989)], permits one to find all the possibilities of separation of variables in the Dirac equation in the case of the most general set of external fields. The complete set of interactions of the Dirac particle is determined by the symmetry group of equations, namely, viz. the SU(4) group. The interactions are scalar, vector, tensor, pseudovector and pseudoscalar. The analysis in this article is limited to Cartesian coordinates. The corresponding results for the general curvilinear coordinates will be presented in a future paper.
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 33 (1992), S. 914-925 
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: The algebraic method of separation of variables in the Dirac equation proposed by one of the present authors [Gravitation and Electromagnetism (U.P., Minsk, 1989) Issue 4, p. 156 (in Russian)] is developed for the case of the most general interaction of the Dirac particle in an external field, taking into account scalar, vector, tensor, pseudovector, pseudoscalar, and gravitation connections. The present work, which concludes this series of papers entitled "Dirac equation in external fields'' [J. Math. Phys. 32, 3184 (1991); 33, XXX (1992)] is dedicated to the investigation of the problem in the case of general orthogonal curvilinear coordinates, and allows the introduction of gravitation through the spinor connection and Lame's functions. Special consideration is given to the cases, when the generalized Lame's functions do not separate the variables multiplicatively (e.g., elliptic cylindrical, parabolic cylindrical, and oblate and prolate spheroidal coordinates). All the previous results and numerous results of other authors are particular cases of this investigation.
    Type of Medium: Electronic Resource
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  • 4
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    International Baltic Earth Secretariat
    In:  EPIC33rd International Lund Regional-Scale Climate Modelling Workshop 21st Century Challenges in Regional Climate Modelling: Workshop proceedings, Lund, Sweden, 16-19 June 2014, (International Baltic Earth Secretariat Publications ; 3), Geesthacht, International Baltic Earth Secretariat, 434 p., pp. 32-33
    Publication Date: 2015-02-17
    Description: A regional coupled atmosphere–ocean model is developed to study the monsoon climate over South Asia. Most of the climate models (both GCM and RCM) underestimate precipitation over South Asia, but overestimate precipitation over the Bay of Bengal and the equatorial Indian Ocean. These systematic differences between the models may be related to a fundamental problem of atmospheric models: the inability to simulate intraseasonal variability. The intraseasonal oscillations of the South Asian monsoon play a major role in influencing the seasonal mean monsoon characteristics and their interannual variability (Goswami and Mohan, 2001). Several GCM studies with focus on the South Asian monsoonal region have concluded that GCMs have difficulties in simulatingthe mean monsoon climate (Turner and Annamalai, 2012). RCMs do simulate better orographic induced precipitation, but also show limited ability to simulate the land precipitation (Lucas-Picher et al., 2011; Kumar et al., 2013). For this study, differences in coupled and uncoupled simulations are analyzed to investigate the effect of coupling on the simulated climate, especially precipitation spatial patterns.
    Repository Name: EPIC Alfred Wegener Institut
    Type: Inbook , peerRev
    Format: application/pdf
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  • 5
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    Unknown
    International Baltic Earth Secretariat Publications
    In:  EPIC33rd International Lund Regional-Scale Climate Modelling Workshop 21st Century Challenges in Regional Climate Modelling: Workshop proceedings, Lund, Sweden, 16-19 June 2014, (International Baltic Earth Secretariat Publications ; 3), Geesthacht, International Baltic Earth Secretariat Publications, 434 p., pp. 57-58
    Publication Date: 2015-02-17
    Description: Currently, Global Coupled Models (GCMs) have difficulty capturing key phenomena and achieving accurate climate projections on regional and local scales because limitations in computer po wer do not allow them to reach the necessary horizontal resolutions. Regional climate models (RCMs) provide dynamically downscaled climate information within the region of interest, improving this drawback of current GCMs. At this point, naturally raises the question of how much, if any, the RCM can improve the GCMs results. It has been argued that regional models can reproduce an observed climatology but are not able to predict the change of the climatology in response to a changing climate (e.g. Kerr, 2013). However, Feser et al. (2011) could demonstrate an added value in those parameters that exhibit high spatial variability such as near surf ace temperature in different regional atmospheric models. They show that the added value originates mainly from the higher resolved orography in the regional models.
    Repository Name: EPIC Alfred Wegener Institut
    Type: Inbook , peerRev
    Format: application/pdf
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  • 6
    facet.materialart.
    Unknown
    International Baltic Earth Secretariat Publications
    In:  EPIC33rd International Lund Regional-Scale Climate Modelling Workshop 21st Century Challenges in Regional Climate Modelling: Workshop proceedings, Lund, Sweden, 16-19 June 2014, (International Baltic Earth Secretariat Publications ; 3), Geesthacht, International Baltic Earth Secretariat Publications, 434 p., pp. 59-60
    Publication Date: 2015-02-17
    Repository Name: EPIC Alfred Wegener Institut
    Type: Inbook , peerRev
    Format: application/pdf
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  • 7
    Publication Date: 2014-07-14
    Description: The climate over the Arctic has undergone changes in recent decades. In order to evaluate the coupled response of the Arctic system to external and internal forcing, our study focuses on the estimation of regional climate variability and its dependence on large-scale atmospheric and regional ocean circulations. A global ocean–sea ice model with regionally high horizontal resolution is coupled to an atmospheric regional model and global terrestrial hydrology model. This way of coupling divides the global ocean model setup into two different domains: one coupled, where the ocean and the atmosphere are interacting, and one uncoupled, where the ocean model is driven by prescribed atmospheric forcing and runs in a so-called stand-alone mode. Therefore, selecting a specific area for the regional atmosphere implies that the ocean–atmosphere system can develop ‘freely’ in that area, whereas for the rest of the global ocean, the circulation is driven by prescribed atmospheric forcing without any feedbacks. Five different coupled setups are chosen for ensemble simulations. The choice of the coupled domains was done to estimate the influences of the Subtropical Atlantic, Eurasian and North Pacific regions on northern North Atlantic and Arctic climate. Our simulations show that the regional coupled ocean–atmosphere model is sensitive to the choice of the modelled area. The different model configurations reproduce differently both the mean climate and its variability. Only two out of five model setups were able to reproduce the Arctic climate as observed under recent climate conditions (ERA-40 Reanalysis). Evidence is found that the main source of uncertainty for Arctic climate variability and its predictability is the North Pacific. The prescription of North Pacific conditions in the regional model leads to significant correlation with observations, even if the whole North Atlantic is within the coupled model domain. However, the inclusion of the North Pacific area into the coupled system drastically changes the Arctic climate variability to a point where the Arctic Oscillation becomes an ‘internal mode’ of variability and correlations of year-to-year variability with observational data vanish. In line with previous studies, our simulations provide evidence that Arctic sea ice export is mainly due to ‘internal variability’ within the Arctic region. We conclude that the choice of model domains should be based on physical knowledge of the atmospheric and oceanic processes and not on ‘geographic’ reasons. This is particularly the case for areas like the Arctic, which has very complex feedbacks between components of the regional climate system.
    Repository Name: EPIC Alfred Wegener Institut
    Type: Article , isiRev
    Format: application/pdf
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