Time reversal and complex numbers in quantum theory

1959 ◽  
Vol 13 (2) ◽  
pp. 326-343 ◽  
Author(s):  
E. Fabri
Keyword(s):  
Quantum Theory ◽  
Time Reversal ◽  
Complex Numbers

GALILEAN AND DISCRETE SPACE-TIME SYMMETRIES OF ROY-SINGH DETERMINISTIC QUANTUM MECHANICS

1995 ◽  
Vol 10 (32) ◽  
pp. 4641-4650
Author(s):  
ARVIND KUMAR
Keyword(s):  
Quantum Mechanics ◽  
Quantum Theory ◽  
Time Reversal ◽  
Space Time ◽  
Discrete Space ◽  
Galilean Space

The recent deterministic quantum theory of Roy and Singh is shown to be covariant with respect to Galilean, space reflection and time reversal transformations.

scholarly journals Three Myths about Time Reversal in Quantum Theory

2017 ◽  
Vol 84 (2) ◽  
pp. 315-334 ◽  
Author(s):  
Bryan W. Roberts
Keyword(s):  
Quantum Theory ◽  
Time Reversal

Zum Gedankenexperiment von Einstein , Podolsky und Rosen

1977 ◽  
Vol 32 (3-4) ◽  
pp. 223-228
Author(s):  
M. Weber
Keyword(s):  
Angular Momentum ◽  
Quantum Theory ◽  
Time Reversal ◽  
Time Reversal Symmetry ◽  
Measuring Process ◽  
Epr Experiment

Abstract The EPR-gedankenexperiment in the general case of systems with angular momentum of arbitrary magnitude is analyzed within the quantum theoretical measuring process. With respect to the time reversal symmetry of the systems under consideration it will be shown that the contradictions between the EPR experiment and quantum theory do not occur.

i

2020 ◽  
pp. 93-103
Author(s):  
Marcel Danesi
Keyword(s):  
Quantum Theory ◽  
Electromagnetic Radiation ◽  
Quadratic Equation ◽  
Complex Numbers ◽  
Human History ◽  
Real Numbers ◽  
Electric Circuits ◽  
René Descartes ◽  
New Ideas ◽  
Imaginary Number

What kind of number is √−1? In a way that parallels the unexpected discovery of √2 by the Pythagoreans, when this number surfaced as a solution to a quadratic equation, mathematicians asked themselves what it could possibly mean. Not knowing what to call it, René Descartes named it an imaginary number. Like the irrationals, the discovery of i led to new ideas and discoveries. One of these was complex numbers—numbers having the form (a + bi), where a and b are real numbers and i is √−1. Incredibly, complex numbers turn out to have many applications. They are used to describe electric circuits and electromagnetic radiation and they are fundamental to quantum theory in physics. This chapter deals with imaginary numbers, which constitute another of the great ideas of mathematics that have not only changed the course of mathematics but also of human history.

scholarly journals Testing the Orientability of Time

2018 ◽  
Author(s):  
Mark Hadley
Keyword(s):  
Quantum Theory ◽  
Time Reversal ◽  
Experimental Tests ◽  
Theoretical Work ◽  
Microscopic Level ◽  
Local Realism ◽  
Quantum Theories ◽  
Time Direction ◽  
Recent Theoretical Work ◽  
Interpretation Of Quantum Theory

A number of experimental tests of time orientability are described as well as clear experimental signatures from non time orientability (time reversal). Some tests are well known, while others are based on more recent theoretical work. Surprisingly, the results all suggest that time is not orientable at a microscopic level; even definitive tests are positive. At a microscopic level the direction of time can reverse and a consistent forward time direction cannot be defined. That is the conclusion supported by a range of well-known experiments. The conflict between quantum theory and local realism; electrodynamics with electric charges; and spin half transformation properties of fermions; can all be interpreted as evidence of time reversal. While particle-antiparticle annihilation provides a definitive test. It offers both a new view of space-time and an novel interpretation of quantum theory with the potential to unify classical and quantum theories.

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