On Stability of Equilibrium Solutions in the Restricted Many
... 1. Analyzing stability of the equilibrium positions S1 , S2 in linear approximation, we have shown that they are stable only if parameter Μ is sufficiently small, namely, 0 < Μ < Μmax = 0.0853217. 2. In the planar case Hq3 = p3 = 0L the equilibrium positions S1 , S2 are stable in Liapunov sense for ...
... 1. Analyzing stability of the equilibrium positions S1 , S2 in linear approximation, we have shown that they are stable only if parameter Μ is sufficiently small, namely, 0 < Μ < Μmax = 0.0853217. 2. In the planar case Hq3 = p3 = 0L the equilibrium positions S1 , S2 are stable in Liapunov sense for ...
Get the file - Eng
... gravitational one; it also allowed detailed explanations over the genesis, the shape and the stability of any elementary particle. We do not get back this way to the 19st or 20th century ideas, when the problem of space graininess was seriously taken into account; we rather make an important progres ...
... gravitational one; it also allowed detailed explanations over the genesis, the shape and the stability of any elementary particle. We do not get back this way to the 19st or 20th century ideas, when the problem of space graininess was seriously taken into account; we rather make an important progres ...
Quantum tunneling and stochastic resonance - Physik Uni
... in Josephson systems where both classical SR @19# and quantum corrections @17,20,21# have been observed, it can be in the mK region. The role of quantum fluctuations on SR has only started to be explored. As a matter of fact, the quantum tunneling mechanism for the escape rate, and hence for SR itse ...
... in Josephson systems where both classical SR @19# and quantum corrections @17,20,21# have been observed, it can be in the mK region. The role of quantum fluctuations on SR has only started to be explored. As a matter of fact, the quantum tunneling mechanism for the escape rate, and hence for SR itse ...
Generalized Entropies
... combination of Hmin and Hmax gives an expression for the classical capacity of a classical[29] or a quantum[30] channel, as well as its “reverse” capacity[31]. Additional applications can be found particularly in quantum cryptography (see, e.g., [8, 32, 33]). Smooth entropies also have operational i ...
... combination of Hmin and Hmax gives an expression for the classical capacity of a classical[29] or a quantum[30] channel, as well as its “reverse” capacity[31]. Additional applications can be found particularly in quantum cryptography (see, e.g., [8, 32, 33]). Smooth entropies also have operational i ...
Influence of Complex Exciton-Phonon Coupling on Optical
... the full state and thus all information about electronic and vibronic degrees of freedom is available. The cross-section for absorption of light with frequency Ω in dipole-approximation at zero-temperature turns out to be connected to a simple autocorrelation function: Z ∞ 4π σ(Ω) = dt eiΩt hψ(0, z ...
... the full state and thus all information about electronic and vibronic degrees of freedom is available. The cross-section for absorption of light with frequency Ω in dipole-approximation at zero-temperature turns out to be connected to a simple autocorrelation function: Z ∞ 4π σ(Ω) = dt eiΩt hψ(0, z ...
Physics 139B Solutions to Homework Set 4 Fall 2009 1. Liboff
... states of the oscillator with quantum number k ≥ 2. This is a consequence of eq. (19), which indicates that h0| x |ki = 0 for k ≥ 2. However, when higher orders of perturbation theory are taken into account, one does find that transitions from the ground state to excited states of the oscillator wit ...
... states of the oscillator with quantum number k ≥ 2. This is a consequence of eq. (19), which indicates that h0| x |ki = 0 for k ≥ 2. However, when higher orders of perturbation theory are taken into account, one does find that transitions from the ground state to excited states of the oscillator wit ...
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A relativistic wave equation with a local kinetic operator and an
... The content of the present work will be developed as outlined in the following. For pedagogical reasons, in order to introduce the main concepts (and techniques) of the present model, we shall first revise in Section 2 the well-known case of the onebody Dirac equation. For a special combination of a ...
... The content of the present work will be developed as outlined in the following. For pedagogical reasons, in order to introduce the main concepts (and techniques) of the present model, we shall first revise in Section 2 the well-known case of the onebody Dirac equation. For a special combination of a ...
Partition function (statistical mechanics)
... is a shorthand notation serving as a reminder that the ...
... is a shorthand notation serving as a reminder that the ...
Elements of Quantum Mechanics and the H Atom
... Wave equations for matter waves were derived independently by Erwin S CHRÖDINGER and PAUL D IRAC who in 1933 jointly received the N OBEL prize in physics for their ground breaking work. The nonrelativistic S CHRÖDINGER equation is most commonly used in AMO physics and will briefly be introduced here ...
... Wave equations for matter waves were derived independently by Erwin S CHRÖDINGER and PAUL D IRAC who in 1933 jointly received the N OBEL prize in physics for their ground breaking work. The nonrelativistic S CHRÖDINGER equation is most commonly used in AMO physics and will briefly be introduced here ...
Lamb shift in radical-ion pairs produces a singlet
... state. Thus the coupling Hamiltonian reads V = i (hi + h†i ), where hi = ui a†i cQS . The operator QS projects the RP state onto the electron-singlet subspace, while the raising operator a†i produces a single occupation of the i-th reservoir level. The transition amplitude ui will be detailed later. ...
... state. Thus the coupling Hamiltonian reads V = i (hi + h†i ), where hi = ui a†i cQS . The operator QS projects the RP state onto the electron-singlet subspace, while the raising operator a†i produces a single occupation of the i-th reservoir level. The transition amplitude ui will be detailed later. ...
Vortex states of a disordered quantum Hall bilayer P. R. Eastham,
... resistivity,4,5 which can be understood as excitonic superfluidity, and a zero-bias tunneling anomaly,6,7 which can be interpreted as a Josephson effect. However, the analogy is incomplete because neither the counterflow resistivity nor the width of the tunneling anomaly8 appears to vanish at finite ...
... resistivity,4,5 which can be understood as excitonic superfluidity, and a zero-bias tunneling anomaly,6,7 which can be interpreted as a Josephson effect. However, the analogy is incomplete because neither the counterflow resistivity nor the width of the tunneling anomaly8 appears to vanish at finite ...
Quantum mechanical modeling of the CNOT (XOR) gate
... 5. The symmetry considerations Here we pose the question of the symmetry group of the interaction eq. (27). A bit of care is required with this regard: whilst the states {|ii} of both the qubits can physically be virtually arbitrary (e.g., the ”ground”, |gi, and ”excited”, |ei) states, all the consi ...
... 5. The symmetry considerations Here we pose the question of the symmetry group of the interaction eq. (27). A bit of care is required with this regard: whilst the states {|ii} of both the qubits can physically be virtually arbitrary (e.g., the ”ground”, |gi, and ”excited”, |ei) states, all the consi ...