Sect. 8.2 - TTU Physics
... Ch. 2 hold also in the Hamiltonian formalism. In Sect. 2.6, merely replace L with H & all else carries over directly! • This statement includes the connections between the invariance or symmetry properties of the system & the conserved generalized momenta. If the system is invariant (symmetrical) ...
... Ch. 2 hold also in the Hamiltonian formalism. In Sect. 2.6, merely replace L with H & all else carries over directly! • This statement includes the connections between the invariance or symmetry properties of the system & the conserved generalized momenta. If the system is invariant (symmetrical) ...
Workshop Modern Numerical Methods in Quantum Mechanics
... Long-time behaviour of numerical integrators for charged particle dynamics Joint work with: Christian Lubich The Boris algorithm is the most popular time integrator for charged particle motion in electric and magnetic force fields. It is a symmetric one-step method, and it preserves the phase volume ...
... Long-time behaviour of numerical integrators for charged particle dynamics Joint work with: Christian Lubich The Boris algorithm is the most popular time integrator for charged particle motion in electric and magnetic force fields. It is a symmetric one-step method, and it preserves the phase volume ...
A Note on the Switching Adiabatic Theorem
... [2]. They proved a long time result for a general family of Hamiltonians. They did not consider dependence on the gap g. In 1991 Joye and Pfister [13] obtained an estimate on the exponential decay rate for the 2 × 2 matrix case. Three years later Martinez [17] realized that the adiabatic transition ...
... [2]. They proved a long time result for a general family of Hamiltonians. They did not consider dependence on the gap g. In 1991 Joye and Pfister [13] obtained an estimate on the exponential decay rate for the 2 × 2 matrix case. Three years later Martinez [17] realized that the adiabatic transition ...
Chaotic field theory: a sketch
... of the long-time dynamics, with cycles ordered hierarchically; short cycles give good approximations to the invariant set, longer cycles re nements. Errors due to neglecting long cycles can be bounded, and for nice hyperbolic systems they fall o exponentially or even super-exponentially with the cu ...
... of the long-time dynamics, with cycles ordered hierarchically; short cycles give good approximations to the invariant set, longer cycles re nements. Errors due to neglecting long cycles can be bounded, and for nice hyperbolic systems they fall o exponentially or even super-exponentially with the cu ...
8. Superfluid to Mott-insulator transition
... Solution of the Schrödinger equation for periodic potentials Band structure Bloch oscillation of bosonic and fermionic atoms in optical lattices ...
... Solution of the Schrödinger equation for periodic potentials Band structure Bloch oscillation of bosonic and fermionic atoms in optical lattices ...
Quantum steam tables. Free energy calculations for H2O, D2O, H2S
... fully coupled accurate calculations, and these treatments reduce the errors by about a factor of 2 compared to the independent-mode harmonic oscillator model (with errors of ~ 16% ). These calculations indicate that vibrational anharmonicity and mode-mode coupling effects are significant, but that t ...
... fully coupled accurate calculations, and these treatments reduce the errors by about a factor of 2 compared to the independent-mode harmonic oscillator model (with errors of ~ 16% ). These calculations indicate that vibrational anharmonicity and mode-mode coupling effects are significant, but that t ...
Quantum Dots: Theory, Application, Synthesis
... A traditional solar cell consists of a large silicon p-n junction. When a photon with energy greater than the bandgap of silicon hits the solar cell, it excites a single electron with energy exactly equal to the silicon bandgap. Photons with energy less than the bandgap are transmitted by the silico ...
... A traditional solar cell consists of a large silicon p-n junction. When a photon with energy greater than the bandgap of silicon hits the solar cell, it excites a single electron with energy exactly equal to the silicon bandgap. Photons with energy less than the bandgap are transmitted by the silico ...
Chapter 1. Fundamental Theory
... with the single-particle potential U(rj ,s j ) depending on position and spin (s), while V is the many-particle potential: V = 0 → single-particle system; V ≠ 0 → many-particle system. This class is essentially dedicated to solving the Schrödinger Equation. (1) Single-particle quantum system (QM I, ...
... with the single-particle potential U(rj ,s j ) depending on position and spin (s), while V is the many-particle potential: V = 0 → single-particle system; V ≠ 0 → many-particle system. This class is essentially dedicated to solving the Schrödinger Equation. (1) Single-particle quantum system (QM I, ...
Notas de F´ısica
... parameter values are λ = 1.0, α = −8.0 for region I and λ = 1.0, α = −0.2 for region II. In region I we observe the presence of local minima for 4θ/N = ±π. Besides the minima at 4θ/N = ±π, two additional fixed points (a maximum and a saddle point) are apparent in region II occurring at θ = 0. Each m ...
... parameter values are λ = 1.0, α = −8.0 for region I and λ = 1.0, α = −0.2 for region II. In region I we observe the presence of local minima for 4θ/N = ±π. Besides the minima at 4θ/N = ±π, two additional fixed points (a maximum and a saddle point) are apparent in region II occurring at θ = 0. Each m ...
Conductance of a quantum wire in the Wigner crystal regime
... Experiments with short one-dimensional (1D) conductors (quantum wires) have demonstrated [1] that their conductance is quantized in units of 2e2 /h. The universality of this result is readily understood in the model of non-interacting electrons. In this approach the conductance is given by G = e2 νv ...
... Experiments with short one-dimensional (1D) conductors (quantum wires) have demonstrated [1] that their conductance is quantized in units of 2e2 /h. The universality of this result is readily understood in the model of non-interacting electrons. In this approach the conductance is given by G = e2 νv ...
PPT File
... When there is no initial correlation between the quantum system and stochastic process, we obtain the time-convolutionless (TCL) quantum master equation ...
... When there is no initial correlation between the quantum system and stochastic process, we obtain the time-convolutionless (TCL) quantum master equation ...