Preface

Arfken, George B.; Griffing, David F.; Kelly, Donald C.; Priest, Joseph

doi:10.1016/b978-0-12-059860-1.50004-7

Cited by 6 publications

(12 citation statements)

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“…It is useful to check Eq. (E7) in the two limiting cases of interest to us: a) For m → 0 we use the series expansion [73] H…”

Section: Appendix B: the Schwinger Formula For Wmentioning

confidence: 99%

“…(3.12). However, the regime of interest when m = 0 is when x = mz is large, in which case K ν (x) can be approximated by the asymptotic series [74] K ν (x) ≃ π 2x e −x 1 + (4ν 2 − 1) 1!8x + (4ν 2 − 1)(4ν 2 − 9) 2! (8x) 2 + · · · .…”

Section: Appendix B: the Schwinger Formula For Wmentioning

confidence: 99%

“…(B38). b) When |z| is large H(2) ν (z) can be represented by the asymptotic expansion[74] {−i[z − (ν + 1/2)π/2]} .…”

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confidence: 99%

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Long-Range Forces and Neutrino Mass

Fischbach

1996

Annals of Physics

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We explore the limits on neutrino mass which follow from a study of the long-range forces that arise from the exchange of massless or ultra-light neutrinos. Although the 2-body neutrino-exchange force is unobservably small, the many-body force can generate a very large energy density in neutron stars and white dwarfs. We discuss the novel features of neutrino-exchange forces which lead to large many-body effects, and present the formalism that allows these effects to be calculated explicitly in the Standard Model. After considering, and excluding, several possibilities for avoiding the unphysically large contributions from the exchange of massless neutrinos, we develop a formalism to describe the exchange of massive neutrinos. It is shown that the stability of both neutrons stars and white dwarfs in the presence of manybody neutrino-exchange forces implies a lower bound, m > ∼ 0.4 eV/c 2 on the mass m of any neutrino.

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“…It is useful to check Eq. (E7) in the two limiting cases of interest to us: a) For m → 0 we use the series expansion [73] H…”

Section: Appendix B: the Schwinger Formula For Wmentioning

confidence: 99%

Section: Appendix B: the Schwinger Formula For Wmentioning

confidence: 99%

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Long-Range Forces and Neutrino Mass

Fischbach

1996

Annals of Physics

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“…Excessive phase variation over an element results in a reduction in the intensity level of the ultrasonic beam being received due to destructive wave interference. The theoretical loss in intensity level of the entire ultrasonic beam can be determined for each forging coupon inspection using the principle of superposition of sinusoidal waves [28]. This theoretical loss of intensity can then be converted into a loss of signal strength in units of decibels [29].…”

Section: Appendix D Delay Timesmentioning

confidence: 99%

“…The theoretical loss in intensity level of the entire ultrasonic beam can be determined for each forging coupon inspection using the principle of superposition of sinusoidal waves [28]. This theoretical loss of intensity can then be converted into a loss of signal strength in units of decibels [29]. First, the range of delay times over each element is converted into a phase difference (See Equation D.1).…”

Section: Appendix D Delay Timesmentioning

confidence: 99%

Focusing aberration corrections for ultrasonic inspections of disk forgings when using a surface compensating mirror and segmented annular phased array

Friedl¹

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CHAPTER 1. GENERAL INTRODUCTION 1 Introduction 1 Dissertation Organization 3 Basic Principles of Phased Arrays 4 Acquisition and Presentation of Ultrasonic Data 5 CHAPTER 2. INTRODUCTION Delay times for even-numbered planar interface forging coupons at a 3.0-inch water path distance and F/6 beam focus using the initial 2D delay time generation method. Longitudinal sound velocity measurements of curved interface forging coupons. Apertures for planar interface forging coupons at a 3.80-inch water path distance. Apertures for curved interface forging coupons at a 3.80-inch water path distance. Delay times for focusing on FBHs in planar interface forging coupons at a 3.8-inch water path distance when using the initial 2D ray-tracing algorithm. Delay times for focusing on FBHs in planar interface forging coupons at a 3.8-inch water path distance when using the refined 2D ray-tracing algorithm. Delay times for focusing on FBHs in curved interface forging coupons at a 3.8-inch water path distance when using the refined 2D ray-tracing algorithm. Grouping 128 transducer elements to 32 delay time generators. Number of delay times required for each curved interface forging coupons when using the 3D ray-tracing algorithm. Effective grouping of delay time sets from the initial and refined 2D methods. Effective grouping of delay time sets from the 3D method. Number of focal laws required when using delay times from the 3D method. Average noise amplitudes in C-scan images where peak amplitudes are 80%FSH. Signal-to-noise ratios in C-scan images. FBH diameters producing SNR of unity as a method of measuring inspection sensitivity. Descriptive statistics for measured parameters. Designations for inspection data groups during statistical hypothesis testing. Null and alternative hypotheses for statistical comparison of measured parameter means. Gain setting Wilcoxon test for differences in mean values. Horizontal beam width Wilcoxon test for differences in mean values. Vertical beam width Wilcoxon test for differences in mean values. Average noise amplitude Wilcoxon test for differences in mean values. Signal-to-noise ratio Wilcoxon test for differences in mean values. FBH diameter inspection sensitivity Wilcoxon test for differences in mean values. Summary of sum of ranks and test statistic, T, for comparing groups W and X. Wilcoxon matched pair signed rank hypothesis tests for comparing groups W and X. Summary of statistical evidence from hypothesis tests when comparing groups W and X. Summary of sum of ranks and test statistic, T, for comparing groups X and Y. Wilcoxon matched pair signed rank hypothesis tests for comparing groups X and Y. Summary of statistical evidence from hypothesis tests when comparing groups X and Y. Summary of sum of ranks and test statistic, T, for comparing groups Y and Z. Wilcoxon matched pair signed rank hypothesis tests for comparing groups Y and Z. Summary of statistical evidence from hypothesis tests when comparing groups Y and Z. Summary of sum of ranks and test statistic, T, for comparing groups ...

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Origins of Wetting

Extrand¹

2016

Langmuir

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This feature article provides an overview of wetting phenomena. Much of the analysis done on wetting in the last 100 years assumes that the phenomena are determined by molecular interactions within the interfacial area between the liquid and solid. However, there is now ample evidence that wetting is controlled by interactions in the vicinity of the contact line where the liquid and solid meet. Recent experiments and modeling that demonstrate this are reviewed.

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Preface

Cited by 6 publications

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Long-Range Forces and Neutrino Mass

Long-Range Forces and Neutrino Mass

Focusing aberration corrections for ultrasonic inspections of disk forgings when using a surface compensating mirror and segmented annular phased array

Origins of Wetting

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