Singularity of the time-energy uncertainty in adiabatic perturbation
... sphere is a cycloid traced by a circle rolling along an adiabatic path. As the magnetic field rotates more and more slowly, the time-energy uncertainty, proportional to the length of the quantum trajectory, calculated by the exact solution is entirely different from the one obtained by the adiabatic ...
... sphere is a cycloid traced by a circle rolling along an adiabatic path. As the magnetic field rotates more and more slowly, the time-energy uncertainty, proportional to the length of the quantum trajectory, calculated by the exact solution is entirely different from the one obtained by the adiabatic ...
Application of Quantum Computing principles to Natural Language Processing
... The layout of this thesis is as follows. First the principles of quantum computing are presented which the familiar reader can skip. This chapter is then followed by a broad analysis of various search and optimization techniques used classically in NLP. The intent of this section is two-fold. First, ...
... The layout of this thesis is as follows. First the principles of quantum computing are presented which the familiar reader can skip. This chapter is then followed by a broad analysis of various search and optimization techniques used classically in NLP. The intent of this section is two-fold. First, ...
Quantum Gravity as Sum over Spacetimes
... and may require a reformulation of (part of) the standard scenario sketched above. We will return to this issue later. Our proposed non-perturbative formulation of four-dimensional quantum gravity has a number of nice properties. First, it sums over a class of piecewise linear geometries. The charac ...
... and may require a reformulation of (part of) the standard scenario sketched above. We will return to this issue later. Our proposed non-perturbative formulation of four-dimensional quantum gravity has a number of nice properties. First, it sums over a class of piecewise linear geometries. The charac ...
ELECTROSTATIC LATTICE for srEDM
... The second step is to alternately change the deflector parameters and thereby alternating the rotation of the spin. In mathematical terms, this means minimizing all the factors F0 , F1, F2 and by averaging them in time ...
... The second step is to alternately change the deflector parameters and thereby alternating the rotation of the spin. In mathematical terms, this means minimizing all the factors F0 , F1, F2 and by averaging them in time ...
Spin Algebra, Spin Eigenvalues, Pauli Matrices Lecture 10
... But bbot (a) must be smaller than btop (a), so only the second solution works. Therefore bbot (a) = −btop (a). Hence b, which is the eigenvalue of Sz , ranges from −btop (a) to btop (a). Furthermore, since S− lowers this value by ~ each time it is applied, these two values must differ by an integer ...
... But bbot (a) must be smaller than btop (a), so only the second solution works. Therefore bbot (a) = −btop (a). Hence b, which is the eigenvalue of Sz , ranges from −btop (a) to btop (a). Furthermore, since S− lowers this value by ~ each time it is applied, these two values must differ by an integer ...
Some insights on theoretical reaction dynamics: Use
... In particular we have studied a member of the series X + H^ reactions, where X = He, Ne, Ar, for which a considerable amount of experimental data is available. Besides, the Ne + H} NeH"^ + H reaction is commonly found in the field of plasma physics, where atoms of Ne are introduced into H2 plasma to ...
... In particular we have studied a member of the series X + H^ reactions, where X = He, Ne, Ar, for which a considerable amount of experimental data is available. Besides, the Ne + H} NeH"^ + H reaction is commonly found in the field of plasma physics, where atoms of Ne are introduced into H2 plasma to ...
Theory of a Probe in a Strong Magnetic Field*
... An asymptotic analysis of the Langmuir-probe problem in a quiescent, fully ionized plasma in a strong magnetic field is performed, for electron cyclotron radius and Debye length much smaller than probe radius, and this not larger than either ion cyclotron radius or mean free path. It is found that t ...
... An asymptotic analysis of the Langmuir-probe problem in a quiescent, fully ionized plasma in a strong magnetic field is performed, for electron cyclotron radius and Debye length much smaller than probe radius, and this not larger than either ion cyclotron radius or mean free path. It is found that t ...
第三次工業革命
... Originally, dealing with the statistics of eigen-values and eigenfunctions of complex many-body quantum systems, e. g. slow neutron resonances. ...
... Originally, dealing with the statistics of eigen-values and eigenfunctions of complex many-body quantum systems, e. g. slow neutron resonances. ...
Calculations with Chemical Formulas and Chemical Reactions
... The calculation of either weight is straightforward; it is the sum of the individual atomic weights of all atoms or ions present in one particle of the substance. The average atomic weight of an ...
... The calculation of either weight is straightforward; it is the sum of the individual atomic weights of all atoms or ions present in one particle of the substance. The average atomic weight of an ...
Aalborg Universitet The effect of time-dependent coupling on non-equilibrium steady states
... Schrödinger operators with step-like potentials were firstly considered by Buslaev and Fomin in [8]. For that reason we call them Buslaev-Fomin operators. The inverse scattering problem for such Buslaev-Fomin operators was subsequently investigated in [1–3,10,11,18]. In order to rigorously describe ...
... Schrödinger operators with step-like potentials were firstly considered by Buslaev and Fomin in [8]. For that reason we call them Buslaev-Fomin operators. The inverse scattering problem for such Buslaev-Fomin operators was subsequently investigated in [1–3,10,11,18]. In order to rigorously describe ...
Supmech: the Geometro-statistical Formalism Underlying Quantum
... theory) and serves to develop quantum mechanics autonomously (i.e. without having to quantize classical systems). Integrating noncommutative symplectic geometry and noncommutative probability in an algebraic setting, it associates, with every ‘experimentally accessible’ system, a symplectic superalg ...
... theory) and serves to develop quantum mechanics autonomously (i.e. without having to quantize classical systems). Integrating noncommutative symplectic geometry and noncommutative probability in an algebraic setting, it associates, with every ‘experimentally accessible’ system, a symplectic superalg ...
Quantum heating of a parametrically modulated oscillator: Spectral signatures M. Marthaler,
... in vibrational systems. It makes the energy levels nonequidistant and the frequencies of different interlevel transitions different, which in turn enables spectroscopic observation of the quantum energy levels. In addition, nonlinearity leads to an interesting behavior of vibrational systems in exte ...
... in vibrational systems. It makes the energy levels nonequidistant and the frequencies of different interlevel transitions different, which in turn enables spectroscopic observation of the quantum energy levels. In addition, nonlinearity leads to an interesting behavior of vibrational systems in exte ...
Ramsey Interference in One-Dimensional Systems: The Full
... the full distribution functions (FDF) of spin operators, Pal ð; tÞ [11]. In particular, high moments of Sal ðtÞ can be obtained from these FDFs Pal ð; tÞ. Physically, Pal ð; tÞd is the probability that a single measurement of the spin operator Sal at time t gives a value between and þ d. In ...
... the full distribution functions (FDF) of spin operators, Pal ð; tÞ [11]. In particular, high moments of Sal ðtÞ can be obtained from these FDFs Pal ð; tÞ. Physically, Pal ð; tÞd is the probability that a single measurement of the spin operator Sal at time t gives a value between and þ d. In ...
Atomic Physics Division Fachverband - DPG
... of the correlated final spin system. Explicit spin-dependent interactions are neglected and electron exchange only is taken into account. It is shown that the final spin system is completely characterized by a single spin correlation parameter depending on scattering angle and energy. Its numerical ...
... of the correlated final spin system. Explicit spin-dependent interactions are neglected and electron exchange only is taken into account. It is shown that the final spin system is completely characterized by a single spin correlation parameter depending on scattering angle and energy. Its numerical ...
Quantum Computing - Department of Computing
... Quantum mechanics is a very accurate description of nature as it predicts quantum effects up to an astonishing precision of 14 decimal places. But we do not know why nature works like that and why quantum mechanics gives such a good description of nature. In other words, quantum mechanics tells us h ...
... Quantum mechanics is a very accurate description of nature as it predicts quantum effects up to an astonishing precision of 14 decimal places. But we do not know why nature works like that and why quantum mechanics gives such a good description of nature. In other words, quantum mechanics tells us h ...
Paper
... atoms). The stability of large condensates requires repulsive interactions (positive a). For attractive interactions (negative a), the condensate becomes unstable against collapse if it grows above a certain size. Early theoretical work has led to the Gross–Pitaevskii equation39,40, which is a wave ...
... atoms). The stability of large condensates requires repulsive interactions (positive a). For attractive interactions (negative a), the condensate becomes unstable against collapse if it grows above a certain size. Early theoretical work has led to the Gross–Pitaevskii equation39,40, which is a wave ...
Hydrogen atom
A hydrogen atom is an atom of the chemical element hydrogen. The electrically neutral atom contains a single positively charged proton and a single negatively charged electron bound to the nucleus by the Coulomb force. Atomic hydrogen constitutes about 75% of the elemental (baryonic) mass of the universe.In everyday life on Earth, isolated hydrogen atoms (usually called ""atomic hydrogen"" or, more precisely, ""monatomic hydrogen"") are extremely rare. Instead, hydrogen tends to combine with other atoms in compounds, or with itself to form ordinary (diatomic) hydrogen gas, H2. ""Atomic hydrogen"" and ""hydrogen atom"" in ordinary English use have overlapping, yet distinct, meanings. For example, a water molecule contains two hydrogen atoms, but does not contain atomic hydrogen (which would refer to isolated hydrogen atoms).