狄拉克引入相对论量子力学方程的文章Thequantum theory of the electron,收稿日期是1928年1月2日。泡利引入泡利矩阵描述磁电子的那篇文章,收稿日期是1927年5月3日。狄拉克引用了泡利的这篇文章,以及Charles Galton Darwin,The electro...狄拉克引入相对论量子力学方程的文章Thequantum theory of the electron,收稿日期是1928年1月2日。泡利引入泡利矩阵描述磁电子的那篇文章,收稿日期是1927年5月3日。狄拉克引用了泡利的这篇文章,以及Charles Galton Darwin,The electron as a vector wave,Roy.Soc.Proc.,A116,227—253(1927)一文{此文的前驱是Charles Galton Darwin,The electron as a vectorwave,Nature 119,282—284(1927)}。达尔文明确地指出电子的波函数应该是个矢量{是说波函数自身应该是个多分量的存在},是量子力学发展过程中重要的一步。笔者识见短浅,没在中文语境中见到有人提及。展开更多
The thermal decoherence of harmonic oscillators is investigated here.The quantum system presented here is a one-dimensional oscillator with angular frequency,which is surrounded by a thermal bath of environmental osci...The thermal decoherence of harmonic oscillators is investigated here.The quantum system presented here is a one-dimensional oscillator with angular frequency,which is surrounded by a thermal bath of environmental oscillators.There are various environmental oscillators with different angular frequency(below an ultraviolet cutoff).At the beginning,the quantum system is a pure state and the environmental oscillators are in thermodynamic equilibrium with temperature.After a period,the system-environment interactions inspire significant decoherence of the quantum state.Such decoherence is displayed by explicit calculations of the purity and von Neumann entropy of the quantum system.It is worth noting that the decoherence could be significant even in the weak coupling and low temperature case due to the large amount of environmental degrees of freedom.Since the decoherence process is inspired between the quantum system and an ordinary thermal environment here,the thermal decoherence result is quite general.展开更多
Complex Field Theory (CFT) proposes that dark matter (DM) and dark energy (DE) are pervasive, complex fields of charged complex masses of equally positive and negative complex charges, respectively. It proposes that e...Complex Field Theory (CFT) proposes that dark matter (DM) and dark energy (DE) are pervasive, complex fields of charged complex masses of equally positive and negative complex charges, respectively. It proposes that each material object, including living creatures, is concomitant with a fraction of the charged complex masses of DM and DE in proportion to its mass. This perception provides new insights into the physics of nature and its constituents from subatomic to cosmic scales. This complex nature of DM and DE explains our inability to see DM or harvest DE for the last several decades. The positive complex DM is responsible for preserving the integrity of galaxies and all material systems. The negative complex charged DE induces a positive repelling force with the positively charged DM and contributes to the universe’s expansion. Both fields are Lorentz invariants in all directions and entangle the whole universe. The paper uses CFT to investigate zero-point energy, particle-wave duality, relativistic mass increase, and entanglement phenomenon and unifies Coulomb’s and Newton’s laws. The paper also verifies the existence of tachyons and explains the spooky action of quantum mechanics at a distance. The paper encourages further research into how CFT might resolve several physical mysteries in physics.展开更多
文摘狄拉克引入相对论量子力学方程的文章Thequantum theory of the electron,收稿日期是1928年1月2日。泡利引入泡利矩阵描述磁电子的那篇文章,收稿日期是1927年5月3日。狄拉克引用了泡利的这篇文章,以及Charles Galton Darwin,The electron as a vector wave,Roy.Soc.Proc.,A116,227—253(1927)一文{此文的前驱是Charles Galton Darwin,The electron as a vectorwave,Nature 119,282—284(1927)}。达尔文明确地指出电子的波函数应该是个矢量{是说波函数自身应该是个多分量的存在},是量子力学发展过程中重要的一步。笔者识见短浅,没在中文语境中见到有人提及。
文摘The thermal decoherence of harmonic oscillators is investigated here.The quantum system presented here is a one-dimensional oscillator with angular frequency,which is surrounded by a thermal bath of environmental oscillators.There are various environmental oscillators with different angular frequency(below an ultraviolet cutoff).At the beginning,the quantum system is a pure state and the environmental oscillators are in thermodynamic equilibrium with temperature.After a period,the system-environment interactions inspire significant decoherence of the quantum state.Such decoherence is displayed by explicit calculations of the purity and von Neumann entropy of the quantum system.It is worth noting that the decoherence could be significant even in the weak coupling and low temperature case due to the large amount of environmental degrees of freedom.Since the decoherence process is inspired between the quantum system and an ordinary thermal environment here,the thermal decoherence result is quite general.
文摘Complex Field Theory (CFT) proposes that dark matter (DM) and dark energy (DE) are pervasive, complex fields of charged complex masses of equally positive and negative complex charges, respectively. It proposes that each material object, including living creatures, is concomitant with a fraction of the charged complex masses of DM and DE in proportion to its mass. This perception provides new insights into the physics of nature and its constituents from subatomic to cosmic scales. This complex nature of DM and DE explains our inability to see DM or harvest DE for the last several decades. The positive complex DM is responsible for preserving the integrity of galaxies and all material systems. The negative complex charged DE induces a positive repelling force with the positively charged DM and contributes to the universe’s expansion. Both fields are Lorentz invariants in all directions and entangle the whole universe. The paper uses CFT to investigate zero-point energy, particle-wave duality, relativistic mass increase, and entanglement phenomenon and unifies Coulomb’s and Newton’s laws. The paper also verifies the existence of tachyons and explains the spooky action of quantum mechanics at a distance. The paper encourages further research into how CFT might resolve several physical mysteries in physics.