Refined asymptotic expansion for the partition function of unbounded quantum billiards

1990 ◽  
Vol 31 (7) ◽  
pp. 1670-1676 ◽  
Author(s):  
F. Steiner ◽  
P. Trillenberg
1933 ◽  
Vol 29 (3) ◽  
pp. 407-407 ◽  
Author(s):  
Irene E. Viney

I am indebted to Mr L. Kassel of the Department of Commerce, U.S.A., for pointing out an error of computation in a recent paper in these Proceedings.The asymptotic expansion for the partition function should readwhere


2016 ◽  
Author(s):  
Gaëtan Borot ◽  
Alice Guionnet ◽  
Karol K. Kozlowski

1989 ◽  
Vol 21 (04) ◽  
pp. 952-955 ◽  
Author(s):  
Yaakov Kogan

We consider the same circuit switching problem as in Mitra [1]. The calculation of the blocking probabilities is reduced to finding the partition function for a closed exponential pseudo-network with L−1 customers. This pseudo-network differs from that in [1] in one respect only: service rates at nodes 1, 2, …, p depend on the queue length. The asymptotic expansion developed in [1] follows from our exact expression for the partition function.


1951 ◽  
Vol 19 (9) ◽  
pp. 1131-1133 ◽  
Author(s):  
Kenneth F. Stripp ◽  
John G. Kirkwood

2018 ◽  
Vol 59 (9) ◽  
pp. 091407 ◽  
Author(s):  
Pavel Bleher ◽  
Brad Elwood ◽  
Dražen Petrović

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