New coherent state representation for the imaginary time propagator with applications to forward-backward semiclassical initial value representations of correlation functions

2007 ◽  
Vol 126 (16) ◽  
pp. 164107 ◽  
Author(s):  
Eli Pollak ◽  
Eva Martin-Fierro
1975 ◽  
Vol 11 (3) ◽  
pp. 973-980 ◽  
Author(s):  
L. M. Narducci ◽  
C. M. Bowden ◽  
V. Bluemel ◽  
G. P. Garrazana ◽  
R. A. Tuft

1994 ◽  
Vol 50 (5) ◽  
pp. 4293-4297 ◽  
Author(s):  
P. Domokos ◽  
P. Adam ◽  
J. Janszky

1977 ◽  
Vol 68 ◽  
pp. 21-34 ◽  
Author(s):  
T. Hida ◽  
L. Streit

It has often been pointed out that a much more manageable structure is obtained from quantum theory if the time parameter t is chosen imaginary instead of real. Under a replacement of t by i·t the Schrödinger equation turns into a generalized heat equation, time ordered correlation functions transform into the moments of a probability measure, etc. More recently this observation has become extremely important for the construction of quantum dynamical models, where criteria were developed by E. Nelson, by K. Osterwalder and R. Schrader and others [8] which would permit the reverse transition to real time after one has constructed an imaginary time (“Euclidean”) model.


Optik ◽  
2019 ◽  
Vol 178 ◽  
pp. 372-378 ◽  
Author(s):  
Ying Xia ◽  
Liyun Hu ◽  
Huan Zhang ◽  
Haoliang Zhang

1981 ◽  
Vol 24 (10) ◽  
pp. 2615-2625 ◽  
Author(s):  
K. -E. Eriksson ◽  
N. Mukunda ◽  
B. -S. Skagerstam

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