Search results for "quantum mechanics"
showing 10 items of 2468 documents
About the role of Galois groups in TGD framework
2021
This article was inspired by the inverse problem of Galois theory. Galois groups are realized as number theoretic symmetry groups realized physically in TGD a symmetries of space-time surfaces. Galois confinement is as analog of color confinement is proposed in TGD inspired quantum biology. Two instances of the inverse Galois problem, which are especially interesting in TGD, are following: Q1: Can a given finite group appear as Galois group over Q? The answer is not known. Q2: Can a given finite group G appear as a Galois group over some EQ? Answer to Q2 is positive as will be found and the extensions for a given G can be explicitly constructed.
Generalization of thermodynamics allowing negentropic entanglement and a model for conscious information processing
2011
Costa de Beauregard considers a model for information processing by a computer based on an analogy with Carnot's heat engine. I am grateful for Stephen Paul King for bringing this article to my attention in Time discussion group and also for inspiring discussions which also led to the birth of this section. As such the model Beauregard for computer does not look convincing as a model for what happens in biological information processing. Combined with TGD based vision about living matter, the model however inspires a model for how conscious information is generated and how the second law of thermodynamics must be modified in TGD framework. The basic formulas of thermodynamics remain as such…
The problems of the dialogue of quantum mechanics and theology
2005
The paper is a review of bordering problems between quantum mechanics, describing the microworld, and Christian theology. The basic concepts of quantum mechanics and their essential distinctions from our notions about the macroworld are given in a popular way. The outlined methodological principles of quantum mechanics are used as an analogy for the illustration of Christian faith miracle, taking as an example the celebration of Holy Communion. The problem of relationships between the methodology of quantum mechanics and the observer’s consciousness is analyzed. The critical appraisal of the many-worlds interpretation of quantum mechanics is given. The possibilty of a deeper understanding o…
Erratum to: “Low lying S=−1 excited baryons and chiral symmetry”
2002
Limits to the fixed center approximation to Faddeev equations: The case of theϕ(2170)
2011
The fixed center approximation to the Faddeev equations has been used lately with success in the study of bound systems of three hadrons. It is also important to set the limits of the approach in those problems to prevent proliferation of inaccurate predictions. In this paper, we study the case of the $\ensuremath{\phi}(2170)$, which has been described by means of Faddeev equations as a resonant state of $\ensuremath{\phi}$ and $K\overline{K}$, and show the problems derived from the use of the fixed center approximation in its study. At the same time, we also expose the limitations of an alternative approach recently proposed.
Hidden-charm pentaquark state inΛb0→J/ψpπ−decay
2016
We study here the ${\mathrm{\ensuremath{\Lambda}}}_{b}^{0}\ensuremath{\rightarrow}J/\ensuremath{\psi}p{\ensuremath{\pi}}^{\ensuremath{-}}$ reaction in analogy to the ${\mathrm{\ensuremath{\Lambda}}}_{b}^{0}\ensuremath{\rightarrow}J/\ensuremath{\psi}p{K}^{\ensuremath{-}}$ one, and we note that in both decays there is a sharp structure (dip or peak) in the $J/\ensuremath{\psi}p$ mass distribution around 4450 MeV, which is associated in the ${\mathrm{\ensuremath{\Lambda}}}_{b}^{0}\ensuremath{\rightarrow}J/\ensuremath{\psi}p{K}^{\ensuremath{-}}$ experiment to an exotic pentaquark baryonic state, although in ${\mathrm{\ensuremath{\Lambda}}}_{b}^{0}\ensuremath{\rightarrow}J/\ensuremath{\psi}p{\en…
ERRATUM: “RELIABILITY OF THE DETECTION OF THE BARYON ACOUSTIC PEAK” (2009, ApJ, 696, L93)
2009
Due to an error in applying the passive evolution to transform Mg (z = 0) magnitudes to Mg (z = 0.3), the values of the magnitude limits for the samples DR7-LRG and DR7-LRG-VL quoted in Table 1 were not correct. The corrected Table 1 is appended below. Note that although the redshift limits of the sample DR7-LRG are the same as in Eisenstein et al. (2005), the magnitude limits are therefore slightly shifted (see Table 1). Once this fact is considered, figures and results are completely unaffected. We are very grateful to Eyal Kazin for pointing out the error.
Totally dressed SDCI calculations: An application to HF and F2
1995
A previously proposed procedure including the linked and unlinked contributions due to Triple and Quadruple excitations into a size-consistent SDCI-like model has been applied to HF and F2 single-bond systems. The procedure is a non-iterative approximation to the more general total dressing model, which is based on the intermediate Hamiltonians theory. Three basis sets have been employed: the correlation consistent cc-pVTZ basis, a similar one including 3d1f polarization functions, and another including one set of g polarization functions. Excellent agreement with experiment and high-quality calculations is obtained for both equilibrium distances and spectroscopic constants. The possibiliti…
Explicitly Correlated Electrons in Molecules
2011
3/4-efficient Bell measurement with passive linear optics and unentangled ancillae
2014
It is well known that an unambiguous discrimination of the four optically encoded Bell states is possible with a probability of $50\%$ at best, when using static, passive linear optics and arbitrarily many vacuum mode ancillae. By adding unentangled single-photon ancillae, we are able to surpass this limit and reach a success probability of at least $75\%$. We discuss the error robustness of the proposed scheme and a generalization to reach a success probability arbitrarily close to $100\%$.