Formulation and numerical results of the transfer-matrix method for quantum spin chains

1990 ◽  
Vol 168 (2) ◽  
pp. 736-767 ◽  
Author(s):  
Thomas Delica ◽  
Hajo Leschke
Keyword(s):  
Transfer Matrix ◽  
Transfer Matrix Method ◽  
Matrix Method ◽  
Quantum Spin ◽  
Numerical Results ◽  
Spin Chains ◽  
Quantum Spin Chains

WATER WAVE PROPAGATING IN ONE-DIMENSIONAL COMBINATION BOTTOM SYSTEMS

2010 ◽  
Vol 24 (11) ◽  
pp. 1463-1470 ◽  
Author(s):  
YANTING YANG ◽  
YANMING YANG ◽  
YU JUN ZHAO ◽  
JING CHENG
Keyword(s):  
Transfer Matrix ◽  
Transfer Matrix Method ◽  
Matrix Method ◽  
Water Wave ◽  
Numerical Results ◽  
Wave Transmission ◽  
Band Gaps ◽  
Frequency Spectra ◽  
One Dimensional ◽  
Transmission Properties

The water wave transmission properties and the frequency spectra of one-dimensional combination bottom of water and mercury with different filling fractions are studied by the transfer matrix method. For the periodic bottoms (PBs), the effect of the steps' numbers and the width on the band gaps are discussed. Each of whole band gaps is the juxtaposition of the gaps of three kinds of PBs, without covering. The numerical results show that the band gaps could be enlarged effectively by choosing the steps' width properly.

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