We compared the cDNA sequences and amino acid sequences of Chalcone synthase (CHS), Chalcone isomerase (CH1), and lsoflavone synthase (IFS) in isoflavone biosynthesis pathway, found that their similarity were no...We compared the cDNA sequences and amino acid sequences of Chalcone synthase (CHS), Chalcone isomerase (CH1), and lsoflavone synthase (IFS) in isoflavone biosynthesis pathway, found that their similarity were not always consistent; then we compared the amino acid sequences of CHS, CHI, and IFS, found that the clustering relationship of CHS and CHI were different in 13 kind of species; CHS and IFS were the same or similar in leguminous plants Medicago sativa, Medicago truncatula, Pisum sativum, Pueraria Montana, and Glycine max however disaccording with CHI. We prefer the amino acid sequence for cDNA sequence for evolution analysis, and think that the secondary metabolism mostly attributing to environmental stresses, and the functional genes on secondary metabolism pathway are unsuitable for taxonomy analysis.展开更多
In this note we make a test of the open topological string version of the OSV conjecture in the toric Calabi-Yau manifold X = O(-3) → P^2 with background D4-branes wrapped on Lagrangian submanifolds. The Dbrahe par...In this note we make a test of the open topological string version of the OSV conjecture in the toric Calabi-Yau manifold X = O(-3) → P^2 with background D4-branes wrapped on Lagrangian submanifolds. The Dbrahe partition function reduces to an expectation value of some inserted operators of a q-deformed Yang Mills theory living on a chain of P^1 's in the base p2 of X. At large N this partition function can be written as a sum over squares of chiral blocks, which are related to the open topological string amplitudes in the local p2 geometry with branes at both the outer and inner edges of the toric diagram. This is in agreement with the conjecture.展开更多
Using the bosonic coherent state representation and the Schwinger bosonic operator realization of angular momentum we find the formula for the quantum Hamiltonian H =iaiUijUjl a1 for SU(2) rotation U, in this way w...Using the bosonic coherent state representation and the Schwinger bosonic operator realization of angular momentum we find the formula for the quantum Hamiltonian H =iaiUijUjl a1 for SU(2) rotation U, in this way we further specify the angular velocity w, iUU = (1/2)σ·ω, where σ is the Pauli matrix. Though the spin as a quantum observable has no classical correspondence, we may still mimic it as a rigid body rotation characterized by 3 Euler angles, and calculate its Pseudo-classical rotational partition function of spin one-half.展开更多
The free electron gas in a uniform magnetic field at low temperature is restudied. The grand partition function previously obtained by Landau's quantitative calculation contains three parts, which are all approximate...The free electron gas in a uniform magnetic field at low temperature is restudied. The grand partition function previously obtained by Landau's quantitative calculation contains three parts, which are all approximate. An improved calculation is presented, in which two of the three parts are obtained in exact forms. A simple remedy for Landau and Lifshitz's qualitative calculation in the textbook is also given, which turns the qualitative result into the same one as obtained by the improved quantitative calculation. The chemical potential is solved approximately and the thermodynamic quantities are caiculated explicitly in both a weak field and a strong field. The thermodynamic quantities in a strong field obtained here contain both non-oscillating and oscillating corrections to the corresponding results derived from Landau's grand partition function. In particular, Landau's grand partition function is not sufficiently accurate to yield our nonzero results for the specific heat and the entropy. An error in the Laplace-transform method for the problem is corrected. The results previously obtained by this method are also improved.展开更多
Using the Unruh-Verlinde temperature obtained by the idea of entropy force,we directly calculated the partition functions of Boson field in Reissner-Nordstro¨m spacetime with quantum statistical method.We obtain ...Using the Unruh-Verlinde temperature obtained by the idea of entropy force,we directly calculated the partition functions of Boson field in Reissner-Nordstro¨m spacetime with quantum statistical method.We obtain the expression of the black hole quantum statistical entropy.We find that the term is proportional to the area of black hole horizon and the logarithmic correction term appears.Our result is valid for flat spacetime.展开更多
文摘We compared the cDNA sequences and amino acid sequences of Chalcone synthase (CHS), Chalcone isomerase (CH1), and lsoflavone synthase (IFS) in isoflavone biosynthesis pathway, found that their similarity were not always consistent; then we compared the amino acid sequences of CHS, CHI, and IFS, found that the clustering relationship of CHS and CHI were different in 13 kind of species; CHS and IFS were the same or similar in leguminous plants Medicago sativa, Medicago truncatula, Pisum sativum, Pueraria Montana, and Glycine max however disaccording with CHI. We prefer the amino acid sequence for cDNA sequence for evolution analysis, and think that the secondary metabolism mostly attributing to environmental stresses, and the functional genes on secondary metabolism pathway are unsuitable for taxonomy analysis.
文摘In this note we make a test of the open topological string version of the OSV conjecture in the toric Calabi-Yau manifold X = O(-3) → P^2 with background D4-branes wrapped on Lagrangian submanifolds. The Dbrahe partition function reduces to an expectation value of some inserted operators of a q-deformed Yang Mills theory living on a chain of P^1 's in the base p2 of X. At large N this partition function can be written as a sum over squares of chiral blocks, which are related to the open topological string amplitudes in the local p2 geometry with branes at both the outer and inner edges of the toric diagram. This is in agreement with the conjecture.
基金Supported by National Natural Science Foundation of China under Grant Nos.10874174 and 90203002
文摘Using the bosonic coherent state representation and the Schwinger bosonic operator realization of angular momentum we find the formula for the quantum Hamiltonian H =iaiUijUjl a1 for SU(2) rotation U, in this way we further specify the angular velocity w, iUU = (1/2)σ·ω, where σ is the Pauli matrix. Though the spin as a quantum observable has no classical correspondence, we may still mimic it as a rigid body rotation characterized by 3 Euler angles, and calculate its Pseudo-classical rotational partition function of spin one-half.
基金Supported by the National Natural Science Foundation of China under Grant No.10675174
文摘The free electron gas in a uniform magnetic field at low temperature is restudied. The grand partition function previously obtained by Landau's quantitative calculation contains three parts, which are all approximate. An improved calculation is presented, in which two of the three parts are obtained in exact forms. A simple remedy for Landau and Lifshitz's qualitative calculation in the textbook is also given, which turns the qualitative result into the same one as obtained by the improved quantitative calculation. The chemical potential is solved approximately and the thermodynamic quantities are caiculated explicitly in both a weak field and a strong field. The thermodynamic quantities in a strong field obtained here contain both non-oscillating and oscillating corrections to the corresponding results derived from Landau's grand partition function. In particular, Landau's grand partition function is not sufficiently accurate to yield our nonzero results for the specific heat and the entropy. An error in the Laplace-transform method for the problem is corrected. The results previously obtained by this method are also improved.
基金supported by the National Natural Science Foundation of China (Grant Nos.11175109 and 11075098)the Shanxi Datong University Doctoral Sustentation Fund (Grant Nos.2008-B-06,2011-B-04 and 2008Q8)
文摘Using the Unruh-Verlinde temperature obtained by the idea of entropy force,we directly calculated the partition functions of Boson field in Reissner-Nordstro¨m spacetime with quantum statistical method.We obtain the expression of the black hole quantum statistical entropy.We find that the term is proportional to the area of black hole horizon and the logarithmic correction term appears.Our result is valid for flat spacetime.