Metric of a Rotating, Charged Mass
... .. Work supported by a National Science Foundation fellowship. 1 P. A. M. Dirac, The Principles of Quantum Mechanics (Clarendon Press, Oxford, England, 1958), 4th ed. 2 J. von Neumann, Mathematical Foundations of Quantum Mechanics (Princeton University Press, Princeton, New Jersey, 1955). ...
... .. Work supported by a National Science Foundation fellowship. 1 P. A. M. Dirac, The Principles of Quantum Mechanics (Clarendon Press, Oxford, England, 1958), 4th ed. 2 J. von Neumann, Mathematical Foundations of Quantum Mechanics (Princeton University Press, Princeton, New Jersey, 1955). ...
GAMOW VECTORS IN THE BAKAMJIAN-THOMAS CONSTRUCTION SUJEEV WICKRAMASEKARA
... particles [4]. He worked within the framework of a Poincaré algebra realized by Poisson brackets of dynamical variables and did not make ancillary assumptions such as the existence of fields that mediate the interactions. In classical relativistic mechanics, Dirac’s problem does not have a non-trivi ...
... particles [4]. He worked within the framework of a Poincaré algebra realized by Poisson brackets of dynamical variables and did not make ancillary assumptions such as the existence of fields that mediate the interactions. In classical relativistic mechanics, Dirac’s problem does not have a non-trivi ...
Dirac`s coincidences sixty years on
... obtain for the most recent phase transition, resulting from quark–hadron confinement at m ~ 0.15 GeV: (11) leads to uQH ~ 10–9 J/m3. This is startlingly similar to current observational constraints, and leads to the plausible implication that current cosmic dynamics are influenced by the aftermath o ...
... obtain for the most recent phase transition, resulting from quark–hadron confinement at m ~ 0.15 GeV: (11) leads to uQH ~ 10–9 J/m3. This is startlingly similar to current observational constraints, and leads to the plausible implication that current cosmic dynamics are influenced by the aftermath o ...
if on the Internet, Press on your browser to
... dimensional or Kaluza-Klein theories. It is an old speculation that the real World intrinsically has more than 3 spatial dimensions. The ones that we do not see are supposed to be "compact" (i.e., curled up on themselves in small circles). In such theories, it was found by Rafael Sorkin, David Gross ...
... dimensional or Kaluza-Klein theories. It is an old speculation that the real World intrinsically has more than 3 spatial dimensions. The ones that we do not see are supposed to be "compact" (i.e., curled up on themselves in small circles). In such theories, it was found by Rafael Sorkin, David Gross ...
The qubits and the equations of physics
... the qubit dynamical equation enters with its kinetic energy, leading to the Schrödinger equation 8. Dirac equation is properly characterized by two qubits. ...
... the qubit dynamical equation enters with its kinetic energy, leading to the Schrödinger equation 8. Dirac equation is properly characterized by two qubits. ...
Feynman Diagrams for Beginners
... We give a short introduction to Feynman diagrams, with many exercises. Text is targeted at students who had little or no prior exposure to quantum field theory. We present condensed description of single-particle Dirac equation, free quantum fields and construction of Feynman amplitude using Feynman ...
... We give a short introduction to Feynman diagrams, with many exercises. Text is targeted at students who had little or no prior exposure to quantum field theory. We present condensed description of single-particle Dirac equation, free quantum fields and construction of Feynman amplitude using Feynman ...
The Dirac equation
... The Dirac equation is a relativistic quantum mechanical wave equation formulated by British physicist Paul Dirac in 1928. ...
... The Dirac equation is a relativistic quantum mechanical wave equation formulated by British physicist Paul Dirac in 1928. ...
General Relativity, Black Holes and Quantum Field Theory in curved
... • Quantum Gravity has not yet converged into a single theory and at present several rival theories co-exist (String Theory, Loop Quantum Gravity and Noncommutative Geometry). Nevertheless, all these candidates reveal certain common or global features like noncommutativity of the coordinates at Planc ...
... • Quantum Gravity has not yet converged into a single theory and at present several rival theories co-exist (String Theory, Loop Quantum Gravity and Noncommutative Geometry). Nevertheless, all these candidates reveal certain common or global features like noncommutativity of the coordinates at Planc ...
Quantum field theory on a quantum space
... We have recently found, in closed form, the space of physical states corresponding to spherically symmetric vacuum space-times in loop quantum gravity. We wish to consider the quantization of a test scalar fields on such quantum space-times. The idea will be to represent the matter part of the Hamil ...
... We have recently found, in closed form, the space of physical states corresponding to spherically symmetric vacuum space-times in loop quantum gravity. We wish to consider the quantization of a test scalar fields on such quantum space-times. The idea will be to represent the matter part of the Hamil ...
Dirac Matrices and Lorentz Spinors
... Originally, the Klein–Gordon equation was thought to be the relativistic version of the Schrödinger equation — that is, an equation for the wave function ψ(x, t) for one relativistic particle. But pretty soon this interpretation run into trouble with bad probabilities (negative, or > 1) when a part ...
... Originally, the Klein–Gordon equation was thought to be the relativistic version of the Schrödinger equation — that is, an equation for the wave function ψ(x, t) for one relativistic particle. But pretty soon this interpretation run into trouble with bad probabilities (negative, or > 1) when a part ...
The Discovery of Dirac Equation and its Impact on Present
... relevant. (ii) It is in this paper that Dirac "officially" announces that the hole must have the same mass as that of the electron .. One can almost feel Dirac's disappointment that his electron theory may fail, since such a 'new kind of particle' is 'unknown to experimental physics'. He seems to sa ...
... relevant. (ii) It is in this paper that Dirac "officially" announces that the hole must have the same mass as that of the electron .. One can almost feel Dirac's disappointment that his electron theory may fail, since such a 'new kind of particle' is 'unknown to experimental physics'. He seems to sa ...
Dirac Equation
... It was quickly discovered that it is not possible to factor this expression over the field of the complex numbers. In fact, it can only be factored by going to the next level, that is to say quadratic forms in 4 variables, and setting one of the variables to 0. In order to understand how this is don ...
... It was quickly discovered that it is not possible to factor this expression over the field of the complex numbers. In fact, it can only be factored by going to the next level, that is to say quadratic forms in 4 variables, and setting one of the variables to 0. In order to understand how this is don ...
Numerical Methods in Quantum Field Theories
... relativistic quantum systems. It should be noted that both equations have solutions with negative energies, which was initially seen as a weakness of the theories. Reinterpretation of those solutions as a particles corresponding antiparticle resolved those issues. Of course, it is inaccurate to say ...
... relativistic quantum systems. It should be noted that both equations have solutions with negative energies, which was initially seen as a weakness of the theories. Reinterpretation of those solutions as a particles corresponding antiparticle resolved those issues. Of course, it is inaccurate to say ...
- EPJ Web of Conferences
... Although this meeting commemorates the 111 birthday of Wigner, my talk draws on the work of Dirac. I do not apologize for this. Both men (brothers-in-law) were led by mathematics to descriptions of fundamental particles: Wigner by group theory, Dirac by his differential equation. It is Dirac’s framew ...
... Although this meeting commemorates the 111 birthday of Wigner, my talk draws on the work of Dirac. I do not apologize for this. Both men (brothers-in-law) were led by mathematics to descriptions of fundamental particles: Wigner by group theory, Dirac by his differential equation. It is Dirac’s framew ...
Effective Topological Field Theories in Condensed Matter Physics
... The search for new states of matter The search for new elements led to a golden age of chemistry. The search for new particles led to the golden age of particle physics. In condensed matter physics, we ask what are the fundamental states of matter? In the classical world we have solid, liquid and g ...
... The search for new states of matter The search for new elements led to a golden age of chemistry. The search for new particles led to the golden age of particle physics. In condensed matter physics, we ask what are the fundamental states of matter? In the classical world we have solid, liquid and g ...
Lesson 5
... Furthermore, the set of eigenfunctions span the space so the wave function describing any quantum state can be expressed as a linear combination of these eigenstates as ...
... Furthermore, the set of eigenfunctions span the space so the wave function describing any quantum state can be expressed as a linear combination of these eigenstates as ...
Objective of the course Aim of the course is to introduce the basic
... Aim of the course is to introduce the basic notions of non-relativistic quantum mechanics and its interpretation. At the end of the course the students should: 1) have understood the definition of physical state and the superposition principle in quantum mechanics, the definition of physical observa ...
... Aim of the course is to introduce the basic notions of non-relativistic quantum mechanics and its interpretation. At the end of the course the students should: 1) have understood the definition of physical state and the superposition principle in quantum mechanics, the definition of physical observa ...
Interaction with the radiation field
... Transition probability Pa->b as a function of the frequency of time ...
... Transition probability Pa->b as a function of the frequency of time ...
integer QHE in graphene
... Carbon nanotubes are a beautiful material. Problem is how to make them in wafers and with reproducible properties. You can't distinguish between semiconducting and metallic nanotubes. You've got uncontrollable material. Graphene is essentially the same material, but unrolled carbon nanotubes. ...
... Carbon nanotubes are a beautiful material. Problem is how to make them in wafers and with reproducible properties. You can't distinguish between semiconducting and metallic nanotubes. You've got uncontrollable material. Graphene is essentially the same material, but unrolled carbon nanotubes. ...