A Very Simple Derivation of Young's Law with Gravity Using a Cylindrical Meniscus

Langmuir ◽  
1997 ◽  
Vol 13 (26) ◽  
pp. 7299-7300 ◽  
Author(s):  
Yves Larher
Keyword(s):  
Simple Derivation

Simple derivation of the quantum mechanical virial theorem

1991 ◽  
Vol 59 (5) ◽  
pp. 476-476 ◽  
Author(s):  
T. C. Ernest Ma
Keyword(s):  
Virial Theorem ◽  
Quantum Mechanical ◽  
Simple Derivation

A Simple Derivation of Microstrip Transmission Line Equations

2009 ◽  
Vol 70 (1) ◽  
pp. 353-367 ◽  
Author(s):  
Lin Zhou ◽  
Gregory A. Kriegsmann
Keyword(s):  
Transmission Line ◽  
Simple Derivation ◽  
Microstrip Transmission Line

GENERAL FORMULA FOR THE SECOND VIRIAL COEFFICIENT

1961 ◽  
Vol 39 (11) ◽  
pp. 1563-1572 ◽  
Author(s):  
J. Van Kranendonk
Keyword(s):  
Phase Shift ◽  
Virial Coefficient ◽  
Second Virial Coefficient ◽  
Resolvent Operators ◽  
Simple Derivation ◽  
Scattering Phase ◽  
Scattering Phase Shifts ◽  
Quantization Volume ◽  
Mechanical Expression ◽  
The Waves

A simple derivation is given of the quantum mechanical expression for the second virial coefficient in terms of the scattering phase shifts. The derivation does not require the introduction of a quantization volume and is based on the identity R(z)−R0(z) = R0(z)H1R(z), where R0(z) and R(z) are the resolvent operators corresponding to the unperturbed and total Hamiltonians H0 and H0 + H1 respectively. The derivation is valid in particular for a gas of excitons in a crystal for which the shape of the waves describing the relative motion of two excitons is not spherical, and, in general, varies with varying energy. The validity of the phase shift formula is demonstrated explicitly for this case by considering a quantization volume with a boundary the shape of which varies with the energy in such a way that for each energy the boundary is a surface of constant phase. The density of states prescribed by the phase shift formula is shown to result if the enclosed volume is required to be the same for all energies.

Simple Derivation of the Bloch Equation

1966 ◽  
Vol 34 (12) ◽  
pp. 1164-1168 ◽  
Author(s):  
D. ter Haar
Keyword(s):  
Bloch Equation ◽  
Simple Derivation

A Simple Synthesis Method for Spherical 4R Linkages Reaching Four Positions

2011 ◽  
Vol 199-200 ◽  
pp. 1236-1239 ◽  
Author(s):  
Tong Yang ◽  
Jian You Han ◽  
Lai Rong Yin
Keyword(s):  
Matrix Method ◽  
Synthesis Method ◽  
Simple Synthesis ◽  
Simple Derivation ◽  
Derivation Method ◽  
Curve Equation ◽  
Linkage Synthesis

For spherical 4R linkage synthesis reaching four specified task positions, we introduce a simple derivation method of spherical Burmester curve equation by employing a displacement matrix method. Then we presented a method to calculate the coordinates of circle and center points, so the spherical Burmester curves can be drawn by the software developed.

A Simple Derivation and Classical Representations of Energy Variations for Curved Cracks

2016 ◽  
Vol 75 (1) ◽  
pp. 99-116
Author(s):  
M. Negri
Keyword(s):  
Simple Derivation

scholarly journals LANDAU EQUATIONS AND ASYMPTOTIC OPERATION

1999 ◽  
Vol 14 (05) ◽  
pp. 683-715 ◽  
Author(s):  
F. V. TKACHOV
Keyword(s):  
Minkowski Space ◽  
Feynman Diagrams ◽  
Simple Derivation ◽  
Wave Fronts ◽  
Theoretic Technique ◽  
Singular Wave

The pinched/nonpinched classification of intersections of causal singularities of propagators in Minkowski space is reconsidered in the context of the theory of asymptotic operation as a first step towards extension of the latter to non-Euclidean asymptotic regimes. A highly visual distribution-theoretic technique of singular wave fronts is tailored to the needs of the theory of Feynman diagrams. Besides a simple derivation of the usual Landau equations in the case of the conventional singularities, the technique naturally extends to other types of singularities, for example due to linear denominators in non-covariant gauges, etc. As another application, the results of Euclidean asymptotic operation are extended to a class of quasi-Euclidean asymptotic regimes in Minkowski space.

Finite Volume Method for Computation of Water Hammer in Conical Tubes

2014 ◽  
Vol 563 ◽  
pp. 266-269
Author(s):  
Xiu Long Zhao ◽  
Jian Zhang ◽  
De Shuang Yu
Keyword(s):  
Finite Volume Method ◽  
Finite Volume ◽  
High Accuracy ◽  
Water Hammer ◽  
Simple Derivation ◽  
Conical Tube ◽  
Discrete Equations ◽  
Volume Method ◽  
Approximate Treatment ◽  
Derivation Process

The most traditional way to calculate water hammer in the conical tube is using some small discrete equivalent uniform tubes to replace it. this approximate treatment can not show the much accurate results of the conical tube,but also not reflect the actual physical discontinuities of the system.This paper use finite volume method to integrate water hammer equations in conical tubes on spatial and temporal scales.Compare the results of FVM discrete equations with MOC. Conclusion shows that: the new discrete equations not only has high accuracy and stability in the calculation of water hammer in conical tubes,but also has a simple derivation process and clear physical meanings.This method provides a new way of thinking in water hammer calculation of conical tubes.

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