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  • 1
    Monograph available for loan
    Monograph available for loan
    Cham : Springer International Publishing
    Call number: M 19.92316
    Description / Table of Contents: Due to steadily improving experimental accuracy, relativistic concepts - based on Einstein’s theory of Special and General Relativity - are playing an increasingly important role in modern geodesy. This book offers an introduction to the emerging field of relativistic geodesy, and covers topics ranging from the description of clocks and test bodies, to time and frequency measurements, to current and future observations. Emphasis is placed on geodetically relevant definitions and fundamental methods in the context of Einstein’s theory (e.g. the role of observers, use of clocks, definition of reference systems and the geoid, use of relativistic approximation schemes). Further, the applications discussed range from chronometric and gradiometric determinations of the gravitational field, to the latest (satellite) experiments. The impact of choices made at a fundamental theoretical level on the interpretation of measurements and the planning of future experiments is also highlighted. Providing an up-to-the-minute status report on the respective topics discussed, the book will not only benefit experts, but will also serve as a guide for students with a background in either geodesy or gravitational physics who are interested in entering and exploring this emerging field
    Type of Medium: Monograph available for loan
    Pages: XIII, 479 Seiten , Illustrationen
    ISBN: 978-3-030-11499-2
    Series Statement: Fundamental Theories of Physics 196
    Language: English
    Note: Introduction -- Time and frequency metrology in the context of relativistic geodesy -- Chronometric geodesy: methods and applications -- Measuring the gravitational field in General Relativity: From deviation equations and the gravitational compass to relativistic clock gradiometry -- A Snapshot of J. L. Synge -- General Relativistic Gravity Gradiometry -- Reference-ellipsoid and normal gravity field in post-Newtonian geodesy -- Anholonomity in Pre and Relativistic Geodesy -- Epistemic relativity: An experimental approach to physics -- Use of geodesy and geophysics measurements to probe the gravitational interaction -- Operationalization of basic relativistic measurements -- Can spacetime curvature be used in future navigation systems? -- World-line perturbation theory -- On the applicability of the geodesic deviation equation in General Relativity -- Measurement of frame dragging with geodetic satellites based on gravity field models from CHAMP, GRACE and beyond -- Tests of General Relativity with the LARES Satellites
    Location: Upper compact magazine
    Branch Library: GFZ Library
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  • 2
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 32 (1991), S. 1354-1359 
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: Fields showing a deterministic evolution, which is linear and local, can be described by a linear system of partial differential equations.
    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 32 (1991), S. 2099-2105 
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: As compared with axiomatic schemes based on the paths of massive point particles, a constructive approach based on the classical limit of the wave mechanics of matter fields has a particular advantage: The locally approximately plane waves do not only define matter rays, but can in addition be subject to interference measurements. These, in contrast to the free-fall experiments, are sensitive to the mass. This makes it possible to further specify the geometry of space-time. Light rays reveal a conformal structure of the space-time manifold. It will be shown that if, in addition, in each point of space-time locally approximately plane matter waves can be realized that are free and massive, the space-time is a Riemann space.
    Type of Medium: Electronic Resource
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  • 4
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 34 (1993), S. 3918-3932 
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: A nonlocal square root of the Klein–Gordon equation is proposed. This nonlocal equation is a special relativistic equation for a scalar field of first order in the time derivative. Its space derivative part is described by a pseudodifferential operator. The usual quantum mechanical formalism can be set up. The nonrelativistic limit and the classical limit in the form of plane wave solutions and the Ehrenfest theorem are correctly included. The nonlocality of the wave equation does not disturb the light cone structure, and the relativity principle of special relativity is fulfilled. Uniqueness and existence of solutions of the Cauchy problem for this equation can be proved. The second quantized version of this theory turns out to be macrocausal.
    Type of Medium: Electronic Resource
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  • 5
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 34 (1993), S. 4540-4553 
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: Within constructive axiomatics of space–time geometry based on elements of quantum mechanics it can be shown that by means of the study of the dynamical behavior of general matter fields in a geometry-free way one can give reasons for the dimension of space–time to be four.
    Type of Medium: Electronic Resource
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  • 6
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 36 (1995), S. 2131-2131 
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Type of Medium: Electronic Resource
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  • 7
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 35 (1994), S. 3769-3769 
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Type of Medium: Electronic Resource
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  • 8
    Electronic Resource
    Electronic Resource
    Springer
    General relativity and gravitation 27 (1995), S. 233-246 
    ISSN: 1572-9532
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract A constructive axiomatic approach to the geometry of space-time in the domain of classical and quantum physics can be founded on basic experiences made with quantum objects. The corresponding matter fields are described by linear systems of partial differential equations. Their characteristics are studied. Postulates concerning the related jump cones and jump amplitudes lead to a unique conformal structure attributed to the space-time geometry.
    Type of Medium: Electronic Resource
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  • 9
    Electronic Resource
    Electronic Resource
    Springer
    General relativity and gravitation 28 (1996), S. 1043-1070 
    ISSN: 1572-9532
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The role of the equivalence principle in the context of non-relativistic quantum mechanics and matter wave interferometry, especially atom beam interferometry, will be discussed. A generalised form of the weak equivalence principle which is capable of covering quantum phenomena too, will be proposed. It is shown that this generalised equivalence principle is valid for matter wave interferometry and for the dynamics of expectation values. In addition, the use of this equivalence principle makes it possible to determine the structure of the interaction of quantum systems with gravitational and inertial fields. It is also shown that the path of the mean value of the position operator in the case of gravitational interaction does fulfill this generalised equivalence principle.
    Type of Medium: Electronic Resource
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  • 10
    Electronic Resource
    Electronic Resource
    Springer
    General relativity and gravitation 32 (2000), S. 2105-2107 
    ISSN: 1572-9532
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Type of Medium: Electronic Resource
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