A new RGB image encryption using generalized heat equation associated with generalized Vigen$\grave {e}$re-type table over symmetric group

2019 ◽  
Vol 78 (19) ◽  
pp. 28025-28061 ◽  
Author(s):  
Manish Kumar ◽  
G. Sathish ◽  
Michael Alphonse ◽  
Rachid Ait Maalem Lahcen
2018 ◽  
Vol 78 (8) ◽  
pp. 10227-10263 ◽  
Author(s):  
Manish Kumar ◽  
R. N. Mohapatra ◽  
Sajal Agarwal ◽  
G. Sathish ◽  
S. N. Raw

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.


2020 ◽  
Vol 113 (2) ◽  
pp. 1201-1224 ◽  
Author(s):  
Tariq Shah ◽  
Asif Ali ◽  
Majid Khan ◽  
Ghazanfar Farooq ◽  
Antonio Aparecido de Andrade

2019 ◽  
Vol 485 (5) ◽  
pp. 574-578
Author(s):  
B. A. Zimin ◽  
Yu. V. Sudenkov

Based on the approximate solution of the dispersion equation, the paper presents an analysis of the system of dynamic thermoelasticity equations taking into account the generalized heat equation. It is noted that during the wave process of heat transfer, a sufficiently intensive process of energy exchange between thermal and elastic fields is realized, while depending on the relations of the characteristic relaxation times, the direction of energy exchange can change.


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