Applications of Mathematical Methods in Quantum Mechanics
A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Mathematical Physics".
Deadline for manuscript submissions: 31 October 2024 | Viewed by 787
Special Issue Editor
Special Issue Information
Dear Colleagues.
Quantum mechanics is the most accurate physical theory discovered to date to explain nature. Like any physical theory, quantum mechanics has two interrelated components—mathematical formalism and physical interpretations. The mathematical formalism of quantum mechanics is nothing but the algorithmic structure containing equations and other mathematical concepts, mainly employing a part of functional analysis, especially Hilbert spaces. On the other hand, we need physical interpretations to compare the results predicted by these mathematical models with the experimental observations. Apart from its role as the fundamental physical theory in almost all branches of physics, the present research endeavours focusing on the foundational aspects of quantum mechanics, quantum information theory and quantum computation rely to a large extent on ever-improving mathematical analyses of quantum mechanics along with their physical interpretations. This Special Issue looks for novel developments of mathematical analyses involved in quantum mechanics, including, but not limited to:
- Deriving new uncertainty relations;
- Mathematical frameworks developing experimental tests of Bell nonlocality;
- Fundamental mathematical structure of entanglement theory;
- Mathematical development of LOCC distinguishability;
- Studying spatial quantum correlations in the context of no-signalling polytope;
- Mathematical descriptions of temporal quantum correlations;
- Improving the mathematical formalism of generalized quantum measurements and measurement incompatibility;
- Quantum channel, CPTP map.
Dr. Debarshi Das
Guest Editor
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