scholarly journals The Time Operator of Reals

2019 ◽  
Author(s):  
Miloš Milovanović ◽  
Srđan Vukmirović
Keyword(s):  
Time Operator

Resonances and time operator for the cusp map

2003 ◽  
Vol 17 (2-3) ◽  
pp. 445-448 ◽  
Author(s):  
I. Antoniou ◽  
S.A. Shkarin
Keyword(s):  
Time Operator

scholarly journals TIME OPERATORS OF A HAMILTONIAN WITH PURELY DISCRETE SPECTRUM

2008 ◽  
Vol 20 (08) ◽  
pp. 951-978 ◽  
Author(s):  
ASAO ARAI ◽  
YASUMICHI MATSUZAWA
Keyword(s):  
Perturbation Theory ◽  
Discrete Spectrum ◽  
Spectral Properties ◽  
Mathematical Theory ◽  
Time Operator ◽  
Regular Perturbation ◽  
Time Operators

We develop a mathematical theory of time operators of a Hamiltonian with purely discrete spectrum. The main results include boundedness, unboundedness and spectral properties of them. In addition, possible connections of a time operator of H with regular perturbation theory are discussed.

Financial Time Operator for random walk markets

2013 ◽  
Vol 57 ◽  
pp. 62-72 ◽  
Author(s):  
I. Gialampoukidis ◽  
K. Gustafson ◽  
I. Antoniou
Keyword(s):  
Random Walk ◽  
Time Operator ◽  
Financial Time

Age and Time Operator of Evolutionary Processes

2016 ◽  
pp. 51-75 ◽  
Author(s):  
Ioannis Antoniou ◽  
Ilias Gialampoukidis ◽  
E. Ioannidis
Keyword(s):  
Time Operator ◽  
Evolutionary Processes

Conditional interpretation of time in quantum gravity and a time operator in relativistic quantum mechanics

2020 ◽  
Vol 35 (21) ◽  
pp. 2050114
Author(s):  
M. Bauer ◽  
C. A. Aguillón ◽  
G. E. García
Keyword(s):  
Quantum Mechanics ◽  
Quantum Gravity ◽  
Relativistic Quantum ◽  
Canonical Quantization ◽  
Time Operator ◽  
Relativistic Quantum Mechanics ◽  
Problem Of Time ◽  
Quantization Of Gravity ◽  
Dynamical Time ◽  
Spatial Coordinates

The problem of time in the quantization of gravity arises from the fact that time in Schrödinger’s equation is a parameter. This sets time apart from the spatial coordinates, represented by operators in quantum mechanics (QM). Thus “time” in QM and “time” in general relativity (GR) are seen as mutually incompatible notions. The introduction of a dynamical time operator in relativistic quantum mechanics (RQM), that follows from the canonical quantization of special relativity and that in the Heisenberg picture is also a function of the parameter [Formula: see text] (identified as the laboratory time), prompts to examine whether it can help to solve the disfunction referred to above. In particular, its application to the conditional interpretation of time in the canonical quantization approach to quantum gravity is developed.

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