Special Issue on Quantum Optics for Fundamental Quantum Mechanics

Reconstruction of Photon Distribution with Positivity Constraints Special Issue on Quantum Optics and Quantum Information

A fascinating topic studied extensively in quantum optics over past several years is the measurement of the quantum state of simple physical systems [1]. The central question is how to reconstruct a family of observables characterizing the quantum state from data that can be obtained using a feasible experimental scheme [2]. Most of the initial work on this topic was based on considerations of ...

From Classical to Quantum Mechanics through Optics

According to Arnold Sommerfeld mechanics is “the backbone of mathematical physics”; it is a highly elaborated theory emerging from Newton’s laws which, in turn, summarize in precise form the whole body of experience. Classical mechanics describes with great precision the motion of macroscopic bodies, including astronomical bodies, except when velocities and masses involved are excessively large...

The Fundamental Logic Structure in Quantum Mechanics

In this article we present the logical structure given by four axioms of Mackey [3] in the set of propositions of Quantum Mechanics. The equivalence relation (PropRel(Q)) in the set of propositions (Prop Q) for given Quantum Mechanics Q is considered. The main text for this article is [6] where the structure of quotient space and the properties of equivalence relations, classes and partitions a...

Quantum Mechanics: Fundamental Principles and Applications

Why special relativity should not be a template for a fundamental reformulation of quantum mechanics

In a comparison of the principles of special relativity and of quantum mechanics, the former theory is marked by its relative economy and apparent explanatory simplicity. A number of theorists have thus been led to search for a small number of postulates—essentially information theoretic in nature—that would play the role in quantum mechanics that the relativity principle and the light postulat...