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George A. Hagedorn 《Theoretical chemistry accounts》1990,77(3):163-190
Summary We summarize the results of a mathematical study of the time-dependent Born-Oppenheimer approximation near crossings of two non-degenerate electron energy surfaces. We illustrate our techniques by relatively simple examples that contain the essential ingredients of the general cases. We discuss all generic types of crossings of two non-degenerate electron energy surfaces.Supported in part by the National Science Foundation under Grant number DMS-8801360 相似文献
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A procedure for mechanised thermometric analysis is described which can be used for the continuous analysis of sample streams as well as for the determination of components in individual samples. In contrast to thermometric methods of analysis previously used, this new procedure is particularly applicable for substances present in medium to high concentrations, and is therefore suitable for many industrial purposes. The analytical exploitation of enthalpy changes as for example with neutralisation, redox and precipitation reactions as well as with dilution, opens wide application possibilities. The precision of the results is generally very good. 相似文献
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George A. Hagedorn Alain Joye 《Journal of Mathematical Analysis and Applications》2002,267(1):235-246
We present an elementary proof that the quantum adiabatic approximation is correct up to exponentially small errors for Hamiltonians that depend analytically on the time variable. Our proof uses optimal truncation of a straightforward asymptotic expansion. We estimate the terms of the expansion with standard Cauchy estimates. 相似文献
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George A. Hagedorn 《Communications in Mathematical Physics》1980,77(1):1-19
We consider the dynamics of a quantum mechanical system which consists of some particles with large masses and some particles with small masses. As we increase the large masses to infinity we obtain the following results: The particles of smaller mass move adiabatically and determine an effective potential in which the heavier particles move semiclassically. Our methods can be applied to diatomic molecules with Coulomb forces.Supported in part by the National Science Foundation under Grant PHY 78-08066 相似文献
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We present an "interferometric quasi-autocollimator" that employs weak value amplification to measure angular deflections of a target mirror. The device has been designed to be insensitive to all translations of the target. We present a conceptual explanation of the amplification effect used by the device. An implementation of the device demonstrates sensitivities better than 10 picoradians per root hertz between 10 and 200 Hz. 相似文献
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E. Richter U. ZeimerS. Hagedorn M. WagnerF. Brunner M. WeyersG. Tränkle 《Journal of Crystal Growth》2010,312(18):2537-2541
The boule-like growth of GaN in a vertical AIXTRON HVPE reactor was studied. Extrinsic factors like properties of the starting substrate and fundamental growth parameters especially the vapor gas composition at the surface have crucial impact on the formation of inverse pyramidal defects. The partial pressure of GaCl strongly affects defect formation, in-plane strain, and crystalline quality. Optimized growth conditions resulted in growth rates of 300–500 μm/h. GaN layers with thicknesses of 2.6 and of 5.8 mm were grown at rates above 300 μm/h. The threading dislocation density reduces with an inverse proportionality to the GaN layer thickness. Thus, it is demonstrated that growth rates above 300 μm/h are promising for GaN boule growth. 相似文献
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