A strategy is suggested for teaching mathematically literate students, with no background in physics, just enough quantum mechanics for them to understand and develop algorithms in quantum computation and quantum information theory. Although the article as a whole addresses teachers of physics, well versed in quantum mechanics, the central pedagogical development is addressed directly to comput...

The list of basic axioms of quantum mechanics as it was formulated by von Neumann includes only the mathematical formalism of the Hilbert space and its statistical interpretation. We point out that such an approach is too general to be considered as the foundation of quantum mechanics. In particular in this approach any finitedimensional Hilbert space describes a quantum system. Though such a t...

In this paper, we will explore some of the basic elements of the mathematical formulation of quantum mechanics. In the first section, I will list the motivations for introducing a probability model that is quite different from that of the classical probability theory, but still shares quite a few significant commonalities. Later in the paper, I will discuss the quantum probability theory in det...

The accuracies of measurements of almost all fundamental physical constants have increased by factors of about 10,coo during the past 60 years. Although some of the improvements are due to greater care, most are due to new techniques based on quatum mechanics. In popular accounts of quantum mechanics, such great emphases is placed on the Heisenberg Uncertainty Principle that it often appears th...

Dasatinib is a tyrosine kinase inhibitor (TKI) that is used to treat chronic myeloid leukemia and in the management of ulcerative colitis (UC) and to provide appropriate results in treatment. Dasatinib is significantly higher and faster than full cytogenetic and large molecular responses as compared to imatinib. In the recent study, using the NMR data, the frequency and thermochemical propertie...

In our previous papers we were interested in making a reconstruction of quantum mechanics according to classical mechanics. In this paper we suspend this program for a while and turn our attention to a theme in the frontier of quantum mechanics itself—that is, the formation of operators. We then investigate all the subtleties involved in forming operators from their classical counterparts. We s...

In classical mechanics, the system of two coupled harmonic oscillators is shown to possess the symmetry of the Lorentz group O(3, 3) applicable to a six-dimensional space consisting of three space-like and three time-like coordinates, or SL(4, r) in the four-dimensional phase space consisting of two position and two momentum variables. In quantum mechanics, the symmetry is reduced to that of O(...

Carlo Rovelli’s inspiring “Relational Quantum Mechanics” serves several aims at once: it provides a new vision of what the world of quantum mechanics is like, and it offers a program to derive the theory’s formalism from a set of simple postulates pertaining to information processing. I propose here to concentrate entirely on the former, to explore the world of quantum mechanics as Rovelli depi...