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1Analytic Function Theory

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2Analytic Function Theory. -

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3Analytic Continuation Of Single-particle Resonance Energy And Wave Function In Relativistic Mean Field Theory

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Single-particle resonant states in spherical nuclei are studied by an analytic continuation in the coupling constant (ACCC) method within the framework of the self-consistent relativistic mean field (RMF) theory. Taking the neutron resonant state $\nu 1g_{9/2}$ in $^{60}$Ca as an example, we examine the analyticity of the eigenvalue and eigenfunction for the Dirac equation with respect to the coupling constant by means of a $\pade$ approximant of the second kind. The RMF-ACCC approach is then applied to $^{122}$Zr and, for the first time, this approach is employed to investigate both the energies, widths and wave functions for $l\ne 0$ resonant states close to the continuum threshold. Predictions are also compared with corresponding results obtained from the scattering phase shift method.

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4Elliptic, Parabolic And Hyperbolic Analytic Function Theory--0: Geometry Of Domains

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This paper lays down a foundation for a systematic treatment of three main (elliptic, parabolic and hyperbolic) types of analytic function theory based on the representation theory of SL(2,R) group. We describe here geometries of corresponding domains. The principal role is played by Clifford algebras of matching types. Keywords: analytic function theory, semisimple groups, elliptic, parabolic, hyperbolic, Clifford algebras

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5Analytic Number Theory- 18.785- The Functional Equation For The Riemann Zeta Function

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In this unit, we establish the functional equation property for the Riemann zeta function, which will imply its meromorphic continuation to the entire complex plane. We will do likewise for Dirichlet L-functions in the next unit.

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6Analytic Function Theory

In this unit, we establish the functional equation property for the Riemann zeta function, which will imply its meromorphic continuation to the entire complex plane. We will do likewise for Dirichlet L-functions in the next unit.

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7Analytic Function Theory. -

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In this unit, we establish the functional equation property for the Riemann zeta function, which will imply its meromorphic continuation to the entire complex plane. We will do likewise for Dirichlet L-functions in the next unit.

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8Analytic Function Theory

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In this unit, we establish the functional equation property for the Riemann zeta function, which will imply its meromorphic continuation to the entire complex plane. We will do likewise for Dirichlet L-functions in the next unit.

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9Analytic Function Theory

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In this unit, we establish the functional equation property for the Riemann zeta function, which will imply its meromorphic continuation to the entire complex plane. We will do likewise for Dirichlet L-functions in the next unit.

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10Analytic Function Theory

In this unit, we establish the functional equation property for the Riemann zeta function, which will imply its meromorphic continuation to the entire complex plane. We will do likewise for Dirichlet L-functions in the next unit.

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  • Language: English

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11Analytic Function Theory

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In this unit, we establish the functional equation property for the Riemann zeta function, which will imply its meromorphic continuation to the entire complex plane. We will do likewise for Dirichlet L-functions in the next unit.

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12The Adler Function For Light Quarks In Analytic Perturbation Theory

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The method of analytic perturbation theory, which avoids the problem of ghost-pole type singularities and gives a self-consistent description of both spacelike and timelike regions, is applied to describe the "light" Adler function corresponding to the non-strange vector channel of the inclusive decay of the $\tau$ lepton. The role of threshold effects is investigated. The behavior of the quark-antiquark system near threshold is described by using a new relativistic resummation factor. It is shown that the method proposed leads to good agreement with the ``experimental'' Adler function down to the lowest energy scale.

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  • Title: ➤  The Adler Function For Light Quarks In Analytic Perturbation Theory
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13Analytic Function Theory

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The method of analytic perturbation theory, which avoids the problem of ghost-pole type singularities and gives a self-consistent description of both spacelike and timelike regions, is applied to describe the "light" Adler function corresponding to the non-strange vector channel of the inclusive decay of the $\tau$ lepton. The role of threshold effects is investigated. The behavior of the quark-antiquark system near threshold is described by using a new relativistic resummation factor. It is shown that the method proposed leads to good agreement with the ``experimental'' Adler function down to the lowest energy scale.

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14Analytic Perturbation Theory In QCD And Schwinger's Connection Between The Beta-function And The Spectral Density

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We argue that a technique called analytic perturbation theory leads to a well-defined method for analytically continuing the running coupling constant from the spacelike to the timelike region, which allows us to give a self-consistent definition of the running coupling constant for timelike momentum. The corresponding $\beta$-function is proportional to the spectral density, which confirms a hypothesis due to Schwinger.

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15Analytic Theory Of The Harish-Chandra C-function

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We argue that a technique called analytic perturbation theory leads to a well-defined method for analytically continuing the running coupling constant from the spacelike to the timelike region, which allows us to give a self-consistent definition of the running coupling constant for timelike momentum. The corresponding $\beta$-function is proportional to the spectral density, which confirms a hypothesis due to Schwinger.

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16NASA Technical Reports Server (NTRS) 19690028224: Applications Of Analytic Function Theory To Analysis Of Single-sideband Angle-modulated Systems

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Analytic function theory applications to analysis of single-sideband angle modulated systems

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17Analytic Function Theory

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Includes bibliography

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The book is available for download in "texts" format, the size of the file-s is: 391.34 Mbs, the file-s for this book were downloaded 697 times, the file-s went public at Thu Jul 16 2009.

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18On An Analytic Estimate In The Theory Of The Riemann Zeta Function And A Theorem Of Baez-Duarte

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We establish a uniform upper estimate for the values of zeta(s)/zeta(s+A), 0

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19Analytic Function Theory (CHEL/270)

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We establish a uniform upper estimate for the values of zeta(s)/zeta(s+A), 0

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20Abstract Analytic Function Theory And Hardy Algebras

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We establish a uniform upper estimate for the values of zeta(s)/zeta(s+A), 0

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21Analytic Continuation Of Single-particle Resonance Energy And Wave Function In Relativistic Mean Field Theory

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Analytic continuation of single-particle resonance energy and wave function in relativistic mean field theory 作者: S. S. Zhang 1 J. Meng 1,2,3 S. G. Zhou 1,2,3 G. C. Hillhouse 4,1 作者单位: 1. School of Physics, Peking University, Beijing 100871, China 2. Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100080, China 3. Center of Theoretical Nuclear Physics,National Laboratory of Heavy Ion Accelerator, Lanzhou 730000, China 4. Department of Physics, University of Stellenbosch,Private Bag X1, Matieland 7602, South Africa 提交时间: 2017-08-22 摘要: Single-particle resonant states in spherical nuclei are studied by an analytic continuation in the coupling constant (ACCC) method within the framework of the self-consistent relativistic mean field (RMF) theory. Taking the neutron resonant state ν1g9/2 in 60Ca as an example, we examine the analyticity of the eigenvalue and eigenfunction for the Dirac equation with respect to the coupling constant by means of a Pad ́e approximant of the second kind. The RMF-ACCC approach is then applied to 122Zr and, for the first time, this approach is employed to investigate both the energies, widths and wave functions for l ̸= 0 resonant states close to the continuum threshold. Predictions are also compared with corresponding results obtained from the scattering phase shift method. 分类: 物理学 >> 核物理学 引用: ChinaXiv:201708.00268 (或此版本 ChinaXiv:201708.00268V1 ) doi:10.12074/201708.00268 CSTR:32003.36.ChinaXiv.201708.00268.V1 推荐引用方式: S. S. Zhang,J. Meng,S. G. Zhou,G. C. Hillhouse.(2017).Analytic continuation of single-particle resonance energy and wave function in relativistic mean field theory.中国科学院科技论文预发布平台.[ChinaXiv:201708.00268] 版本历史 [V1] 2017-08-22 20:09:50 ChinaXiv:201708.00268V1 下载全文

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1Analytic Function Theory

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“Analytic Function Theory” Metadata:

  • Title: Analytic Function Theory
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  • Language: English
  • Number of Pages: Median: 326
  • Publisher: ➤  blaisdell publishing company - Ginn
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  • First Year Published: 1959
  • Is Full Text Available: Yes
  • Is The Book Public: No
  • Access Status: Borrowable

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2Analytic function theory

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  • Publisher: Blaisdell
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  • Publish Location: Waltham, Mass

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  • First Year Published: 1959
  • Is Full Text Available: Yes
  • Is The Book Public: No
  • Access Status: Borrowable

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