Finiteness of the Number of Positive‐α Landau Surfaces in Bounded Portions of the Physical Region

Henry P. Stapp

doi:10.1063/1.1705398

Finiteness of the Number of Positive‐α Landau Surfaces in Bounded Portions of the Physical Region

Journal of Mathematical Physics ◽

10.1063/1.1705398 ◽

1967 ◽

Vol 8 (8) ◽

pp. 1606-1610 ◽

Cited By ~ 11

Author(s):

Henry P. Stapp

Keyword(s):

Physical Region

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Physical-Region Constraints on Low-Energy Partial-Wave Amplitudes

Physical Review D ◽

10.1103/physrevd.2.247 ◽

1970 ◽

Vol 2 (1) ◽

pp. 247-253 ◽

Cited By ~ 12

Author(s):

Ralph Roskies

Keyword(s):

Partial Wave ◽

Physical Region ◽

Low Energy

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Absolute bounds on pion-pion amplitudes in the physical region and threshold behaviour.—II

Il Nuovo Cimento A ◽

10.1007/bf02902422 ◽

1983 ◽

Vol 76 (1) ◽

pp. 52-72

Author(s):

A. D. Gangal ◽

S. M. Roy

Keyword(s):

Physical Region ◽

Threshold Behaviour

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The physical-region multiparticle S matrix

Mathematical Problems in Theoretical Physics - Lecture Notes in Physics ◽

10.1007/3-540-09964-6_324 ◽

2008 ◽

pp. 224-227

Author(s):

D. Iagolnitzer

Keyword(s):

Physical Region ◽

S Matrix

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Processes with a t-channel singularity in the physical region: finite beam sizes make cross sections finite

Nuclear Physics B ◽

10.1016/s0550-3213(96)00558-5 ◽

1997 ◽

Vol 483 (1-2) ◽

pp. 67-82 ◽

Cited By ~ 9

Author(s):

K. Melnikov ◽

V.G. Serbo

Keyword(s):

Cross Sections ◽

Physical Region

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Antiplane Scattering of SH Waves by a Trapezoidal Valley with a Circular-Arc Alluvium in an Elastic Half Space

Journal of Earthquake and Tsunami ◽

10.1142/s1793431115500086 ◽

2015 ◽

Vol 09 (03) ◽

pp. 1550008 ◽

Cited By ~ 8

Author(s):

Chao Zhang ◽

Qijian Liu ◽

Peng Deng

Keyword(s):

Seismic Waves ◽

Mixed Boundary ◽

Mixed Boundary Conditions ◽

Expansion Method ◽

Physical Region ◽

Addition Theorem ◽

Elastic Half Space ◽

Response Analysis ◽

Sh Waves ◽

Finite Set

Both lithologic and topographic irregularities may trigger significant scattering phenomenon of seismic waves. In this study, a series solution is presented for the analysis of scattering of SH waves induced by a trapezoidal valley during earthquakes. An appropriate region matching technique is utilized to divide the physical region into four computational subregions. The wave motions of each subregion are obtained as an infinite series of wave functions with unknown coefficients in the respective cylindrical coordinates through wave function expansion method. The Graf's addition theorem is applied to transform the wave potentials of each subregion into the global coordinate. The mixed boundary conditions are solved by truncating the obtained infinite equations into a finite set. The effects of geometrical topographies and sedimentary properties on the amplification are analyzed and discussed in terms of steady-state and transient response analysis.

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