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'Inge S. Helland, Professor Emeritus, Department of Mathematics, University of Oslo.'
Here is a Statistician's point of view on the 'Foundations of Quantum Mechanics.' where the basis is made not in terms of 'The true nature of reality and world but in terms of the Observer's knowledge of the world.'
Abstract:
"The Bell experiment is discussed in light of a new approach towards the foundation of quantum mechanics. It is concluded from the basic model that the mind of any observer must be limited in some way: In certain contexts, he is simply not able to keep enough variables in his mind when making decisions. This has consequences for Bell’s theorem, but it also seems to have wider consequences."
The simplest model of the zero-curvature eigenstate
The simplest model of the zero-curvature eigenstate
-Zafar Ahmed and Swayam Kesari
Energy eigen states obtained by applying the Schrodinger's equation on any wavefunction, with appropriate boundary conditions are one of the important quantities in Quantum mechanics. Here in this paper a special Energy eigen state model called "Zero-curvature eigen state" was described with Dirac-delta well potential.
"We consider the energy eigenvalue problem of the Dirac delta well potential,
V(x) = −V0δ(x), placed between two rigid walls at x = ±a. When the strength
parameter s = mV0a/ℏ^2 is increased, the ground state eigenvalue, E0, passes from a positive to a negative value. We show that when s = 1, EO = 0, the eigenstate is forced to be of zero-curvature: ψ0(x) = A(a − |x|), and it is orthogonal to all excited states. On the other hand, if V0 is made negative then a zero-energy and zero-curvature eigenstate does not exist."
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-Apoorva Patel
Many Biological processes involve the conversion of Energy which is used in various ways and those processes need a Quantum Mechanical Explanation. Here in this paper it is presented that how Quantum Algorithm helps to deduce the reason behind, why living organisms have 4 nucleotide bases and 20 amino acids.
"Replication of DNA and synthesis of proteins are studied from the view-point of quantum database search. Identification of a base-pairing with a quantum query gives a natural (and first ever!) explanation of why living organisms have 4 nucleotide bases and 20 amino acids. It is amazing that these numbers arise as solutions to an optimization problem. Components of the DNA structure which implement Grover’s algorithm are identified, and a physical scenario is presented for the execution of the quantum algorithm. It is proposed that enzymes play a crucial role in maintaining quantum coherence of the process. Experimental tests that can verify this scenario are pointed out. "
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–Peter Braun-Munzinger & Johanna Stachel
The ‘Quark–gluon plasma’ is thought to be the constituent of the first few microseconds of the Universe. The paper is a review of this phase of the matter, it's relation with temperature, equilibrium with hadronic matter etc, along with the interpretations of the results obtained from various experiments.
"High-energy collisions between heavy nuclei have in the past 20 years provided multiple indications of a deconfined phase of matter that exists at phenomenally high temperatures and pressures. This ‘quark–gluon plasma’ is thought to have permeated the first microseconds of the Universe. Experiments at the Large Hadron Collider should consolidate the evidence for this exotic medium’s existence, and allow its properties to be characterized."
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Position-momentum uncertainty products
Position-momentum uncertainty products
Zafar Ahmed and Indresh Yadav
"We point out two interesting features of position-momentum uncertainty product: U = ∆x∆p. We show that two special (non-differentiable) eigenstates of the Schrodinger operator with the Dirac Delta potential [V (x) = −V0δ(x)], V0 > 0, also satisfy the Heisenberg’s uncertainty principle by yielding U > h/ 2 . One of these eigenstates is a zero-energy and zero-curvature bound state. "
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