Lactic acid bacteria(LAB)are a group of Gram-positive,facultative anaerobic bacteria that are widely distributed in nature and have important functions in various industrial,medical,and environmental processes[1,2].Th...Lactic acid bacteria(LAB)are a group of Gram-positive,facultative anaerobic bacteria that are widely distributed in nature and have important functions in various industrial,medical,and environmental processes[1,2].They are well-known for their ability to produce lactic acid and are thus widely used in the production of fermented foods and beverages,such as yogurt,cheese,and sauerkraut[3].Two of the most prominent and well-studied orders within the LAB group are Lactobacillales and Bifidobacteriales.展开更多
Complete relativistic corrections of an effective Hamiltonian for a single-particle system in an external electromagnetic field and their unitary equivalent form up to the order of mα^(8) are obtained.The derivation ...Complete relativistic corrections of an effective Hamiltonian for a single-particle system in an external electromagnetic field and their unitary equivalent form up to the order of mα^(8) are obtained.The derivation is based on two approaches applying Foldy-Wouthuysen(FW)transformation to the Dirac Hamiltonian for a particle in an external electromagnetic field.The results are consistent with the previous work at the mα^(6) and mα^(8) order correction[Phys.Rev.A 71012503(2005);Phys.Rev.A 100012513(2019)].We also further consider the effect of anomalous magnetic moments,namely,the Dirac-Pauli equation,and obtain FW-Hamiltonians at the same order.The results obtained can be used for the subsequent calculation of relativistic and radiation effects in simple atomic and molecular systems.展开更多
基金supported by the National Key R&D Program of China(2022YFD2100702)the National Natural Science Foundation of China(U22A20540)+1 种基金the Inner Mongolia Science&Technology Planning Project(2022YFSJ0017)the Earmarked Fund for CARS36。
文摘Lactic acid bacteria(LAB)are a group of Gram-positive,facultative anaerobic bacteria that are widely distributed in nature and have important functions in various industrial,medical,and environmental processes[1,2].They are well-known for their ability to produce lactic acid and are thus widely used in the production of fermented foods and beverages,such as yogurt,cheese,and sauerkraut[3].Two of the most prominent and well-studied orders within the LAB group are Lactobacillales and Bifidobacteriales.
基金supported by the National Natural Science Foundation of China(Grant Nos.12074295 and 12104420)。
文摘Complete relativistic corrections of an effective Hamiltonian for a single-particle system in an external electromagnetic field and their unitary equivalent form up to the order of mα^(8) are obtained.The derivation is based on two approaches applying Foldy-Wouthuysen(FW)transformation to the Dirac Hamiltonian for a particle in an external electromagnetic field.The results are consistent with the previous work at the mα^(6) and mα^(8) order correction[Phys.Rev.A 71012503(2005);Phys.Rev.A 100012513(2019)].We also further consider the effect of anomalous magnetic moments,namely,the Dirac-Pauli equation,and obtain FW-Hamiltonians at the same order.The results obtained can be used for the subsequent calculation of relativistic and radiation effects in simple atomic and molecular systems.
