scholarly journals Lieb-Robinson bounds and existence of the thermodynamic limit for a class of irreversible quantum dynamics

Author(s):  
Bruno Nachtergaele ◽  
Anna Vershynina ◽  
Valentin Zagrebnov
2014 ◽  
Vol 11 (07) ◽  
pp. 1460019
Author(s):  
Arkadiusz Jadczyk

Time of arrival in quantum mechanics is discussed in two versions: the classical axiomatic "time of arrival operator" introduced by Kijowski and the event enhanced quantum theory (EEQT) method. It is suggested that for free particles the two methods may lead to the same result. On the other hand, the EEQT method can be easily geometrized within the framework of Galilei–Newton general relativistic quantum mechanics developed by M. Modugno and collaborators, and it can be applied to non-free evolutions. The way of geometrization of irreversible quantum dynamics based on dissipative Liouville equation is suggested.


1998 ◽  
Vol 31 (28) ◽  
pp. 5989-6005
Author(s):  
J Andries ◽  
M De Cock ◽  
M Fannes

2016 ◽  
Vol 12 (1) ◽  
pp. 4172-4177
Author(s):  
Abdul Malek

The denial of the existence of contradiction is at the root of all idealism in epistemology and the cause for alienations.  This alienation has become a hindrance for the understanding of the nature and the historical evolution mathematics itself and its role as an instrument in the enquiry of the physical universe (1). A dialectical materialist approach incorporating  the role of the contradiction of the unity of the opposites, chance and necessity etc., can provide a proper understanding of the historical evolution of mathematics and  may ameliorate  the negative effect of the alienation in modern theoretical physics and cosmology. The dialectical view also offers a more plausible materialist interpretation of the bewildering wave-particle duality in quantum dynamics (2).


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