The classical and quantum mechanics of a particle on a knot.
... arise when we make a transition to quantum mechanics. In particular, the fact that the conjugate operators pθ and θ do not commute requires us to perform an operator-ordering of the classical Hamiltonian. The above analysis shows that while toroidal coordinates are ideally suited to consider the mot ...
... arise when we make a transition to quantum mechanics. In particular, the fact that the conjugate operators pθ and θ do not commute requires us to perform an operator-ordering of the classical Hamiltonian. The above analysis shows that while toroidal coordinates are ideally suited to consider the mot ...
Electric field dependence of magnetic properties
... been hampered by a strong dependence on such aspects as the choice of the gauge origin, the choice of the basis set, and the description of electron correlation. In this work we study the electric field dependence of magnetic properties. The problems encountered in the calculation of magnetic proper ...
... been hampered by a strong dependence on such aspects as the choice of the gauge origin, the choice of the basis set, and the description of electron correlation. In this work we study the electric field dependence of magnetic properties. The problems encountered in the calculation of magnetic proper ...
E d
... A simple case is a system consisting of only two point charges + e and - e at a distance a. Such a system is called a (physical) electric dipole, its moment is equal to ea, the vector a pointing from the negative to the positive charge. Under the influence of the external electrical field, the posit ...
... A simple case is a system consisting of only two point charges + e and - e at a distance a. Such a system is called a (physical) electric dipole, its moment is equal to ea, the vector a pointing from the negative to the positive charge. Under the influence of the external electrical field, the posit ...
Are pulsars born with a hidden magnetic field? Alejandro Torres-Forné
... The boundary between the unmagnetized material falling back and the force-free magnetosphere, i.e. the magnetopause, can be easily compressed at long distances (r & 108 cm ) due to the large difference of the pressure of the infalling material with respect to the magnetic pressure. The dynamical eff ...
... The boundary between the unmagnetized material falling back and the force-free magnetosphere, i.e. the magnetopause, can be easily compressed at long distances (r & 108 cm ) due to the large difference of the pressure of the infalling material with respect to the magnetic pressure. The dynamical eff ...
Magnetism
... • Bring a magnet to an electrically charged object and nothing happens. No forces. • Bring a magnet near some metals (Co, Fe, Ni …) and it will be attracted to the magnet. – The metal will be attracted to both the N and S ...
... • Bring a magnet to an electrically charged object and nothing happens. No forces. • Bring a magnet near some metals (Co, Fe, Ni …) and it will be attracted to the magnet. – The metal will be attracted to both the N and S ...
Lecture Notes 14: Electromagnetic Radiation from An Arbitrary Source, Radiation Reaction on a Moving Point Charge
... bubble) – the latter of which very definitely can propagate / create sound precisely because sound waves are longitudinal, not transverse waves!! Now think about the electron – for EM radiation fields, electric dipole / quadrupole / etc. higher EM moments break the rotational invariance / rotational ...
... bubble) – the latter of which very definitely can propagate / create sound precisely because sound waves are longitudinal, not transverse waves!! Now think about the electron – for EM radiation fields, electric dipole / quadrupole / etc. higher EM moments break the rotational invariance / rotational ...
Lecture Notes in Physics Introduction to Plasma Physics Michael Gedalin
... charges of the opposite sign, thus making the system neutral. More precisely, we have to neutralize locally, so that the positive charge density should balance the negative charge density. Now let us add a test charge Q which make slight imbalance. We are interested to know what would be the electri ...
... charges of the opposite sign, thus making the system neutral. More precisely, we have to neutralize locally, so that the positive charge density should balance the negative charge density. Now let us add a test charge Q which make slight imbalance. We are interested to know what would be the electri ...
Excitation of an Atomic Electron to a Coherent Superposition of
... quantum state distribution of our atomic cat state. This technique consists of ramping on a dc electric field which ionizes the population from different Rydberg states at different times as each state’s ionization potential is reached during the ramp. The ions are collected with an electron multipl ...
... quantum state distribution of our atomic cat state. This technique consists of ramping on a dc electric field which ionizes the population from different Rydberg states at different times as each state’s ionization potential is reached during the ramp. The ions are collected with an electron multipl ...
QUANTUM COMPUTING WITH SUPERCONDUCTORS I: ARCHITECTURES Michael R. Geller Andrew T. Sornborger
... The modern era of superconducting quantum computation began in 2002. That year, the group of Siyuan Han at the University of Kansas and the group of John Martinis, then at NIST Boulder and currently at UC Santa Barbara, independently showed that long-lived quantum states in a current-biassed JJ can ...
... The modern era of superconducting quantum computation began in 2002. That year, the group of Siyuan Han at the University of Kansas and the group of John Martinis, then at NIST Boulder and currently at UC Santa Barbara, independently showed that long-lived quantum states in a current-biassed JJ can ...
Rotational Doppler effect in left
... rotation sense as the LHM or in the opposite sense. The frequency of an incident LG beam whose wave-front is screwing as the LHM is downshifted to ω ′ = ω − (σ + l)Ω, whereas a LG beam of the opposite sense is upshifted to ω ′ = ω −(σ−l)Ω. Unexpectedly, the rotational frequency shift in LHMs is unre ...
... rotation sense as the LHM or in the opposite sense. The frequency of an incident LG beam whose wave-front is screwing as the LHM is downshifted to ω ′ = ω − (σ + l)Ω, whereas a LG beam of the opposite sense is upshifted to ω ′ = ω −(σ−l)Ω. Unexpectedly, the rotational frequency shift in LHMs is unre ...
Lecture 6: Maxwell´s Equations
... They relate the electromagnetic field to the properties of the material, in which the field exists. Together with the Maxwell’s equations, the constitutive relations completely describe the electromagnetic field. Even the EM fields in a nonlinear media can be described through a nonlinearity existin ...
... They relate the electromagnetic field to the properties of the material, in which the field exists. Together with the Maxwell’s equations, the constitutive relations completely describe the electromagnetic field. Even the EM fields in a nonlinear media can be described through a nonlinearity existin ...
