Multiphoton population transfer in systems violating the classical twist condition: A... study of separatrix crossing in phase space
... In order to illustrate the classical transition through separatrix crossing in a rigid rotor, we solve Hamilton’s equations using a fourth-order adaptive step-size Runga-Kutta method as described in detail in Ref. [5] using the Hamiltonian in Ref. [8]. We assume two different transitions when the ro ...
... In order to illustrate the classical transition through separatrix crossing in a rigid rotor, we solve Hamilton’s equations using a fourth-order adaptive step-size Runga-Kutta method as described in detail in Ref. [5] using the Hamiltonian in Ref. [8]. We assume two different transitions when the ro ...
Quantum centipedes with strong global constraint
... Fourier transform, Eq. 4). The rules assigning the values eiq , e−iq or 1 to matrix elements of the Hamiltonian according to configuration moves are identical to the ones worked out in [7] (see Eqs. (3.7) in Section 3 of that paper). The effect of the global constraint is just to reduce the set of a ...
... Fourier transform, Eq. 4). The rules assigning the values eiq , e−iq or 1 to matrix elements of the Hamiltonian according to configuration moves are identical to the ones worked out in [7] (see Eqs. (3.7) in Section 3 of that paper). The effect of the global constraint is just to reduce the set of a ...
Algebraic Quantum Field Theory on Curved Spacetimes
... or null. Extending this, we call a vector field v : M → T M spacelike, timelike, lightlike, or causal if it possesses this property at every point. Finally, we call a curve c : R ⊃ I → M, with I an interval, spacelike, timelike, lightlike, or causal if its tangent vector field bears this property. N ...
... or null. Extending this, we call a vector field v : M → T M spacelike, timelike, lightlike, or causal if it possesses this property at every point. Finally, we call a curve c : R ⊃ I → M, with I an interval, spacelike, timelike, lightlike, or causal if its tangent vector field bears this property. N ...
Luttinger Liquids
... To actually calculate the Fourier transform of this expression to extract the momentum distribution N(p) discussed in the context of Fermi liquids, is a bit complicated. The result is however, as expected, that the discontinuity totally disappears, which shows that there are no stable gapless charge ...
... To actually calculate the Fourier transform of this expression to extract the momentum distribution N(p) discussed in the context of Fermi liquids, is a bit complicated. The result is however, as expected, that the discontinuity totally disappears, which shows that there are no stable gapless charge ...
AN INTRODUCTION TO PHYSICS
... 1. Physics is a science. Science works according to the scientific method. The scientific method accepts only reason, logic, and experimental evidence to tell between what is scientifically correct and what is not. Scientists do not simply believe – they test, and keep testing until satisfied. Just ...
... 1. Physics is a science. Science works according to the scientific method. The scientific method accepts only reason, logic, and experimental evidence to tell between what is scientifically correct and what is not. Scientists do not simply believe – they test, and keep testing until satisfied. Just ...
UNRAVELING OPEN QUANTUM SYSTEMS: CLASSICAL
... Quantum Stochastic Flows and Semigroups extend classical Stochastic Analysis beyond commutativity. This extension is not only an abstract mathematical construction but it is deeply inspired from the theory of Open Quantum Systems in Physics. As a result, subtle questions about time scales and renorm ...
... Quantum Stochastic Flows and Semigroups extend classical Stochastic Analysis beyond commutativity. This extension is not only an abstract mathematical construction but it is deeply inspired from the theory of Open Quantum Systems in Physics. As a result, subtle questions about time scales and renorm ...
RADIATION REACTION AND SELF-FORCE IN CURVED SPACETIME IN A FIELD THEORY APPROACH
... the post-Newtonian (PN) formalism, which assumes that the two bodies, possibly spinning, are weakly gravitating sources moving at slow velocities under their mutual gravitational influences. Recently, the equations of motion for the two bodies and the radiation these emit have been computed using th ...
... the post-Newtonian (PN) formalism, which assumes that the two bodies, possibly spinning, are weakly gravitating sources moving at slow velocities under their mutual gravitational influences. Recently, the equations of motion for the two bodies and the radiation these emit have been computed using th ...
Chapter 2
... equations involve coupling forces and moments f i−1, i and N i−1, i . As shown in eqs.(6.2.1) and (6.2.2), the joint torque τi, which is the input to the robot linkage, is included in the coupling force or moment. However, τi is not explicitly involved in the Newton-Euler equations. Furthermore, the ...
... equations involve coupling forces and moments f i−1, i and N i−1, i . As shown in eqs.(6.2.1) and (6.2.2), the joint torque τi, which is the input to the robot linkage, is included in the coupling force or moment. However, τi is not explicitly involved in the Newton-Euler equations. Furthermore, the ...
4_ Chemical reactions
... The above equation with all soluble compounds shown as ions is called a complete ionic equation. Notice that the K+ and NO3- and ions don’t undergo chemical changes. They are in the exact same form on both sides of the equation. Ions that don’t undergo a chemical change during a chemical reaction ar ...
... The above equation with all soluble compounds shown as ions is called a complete ionic equation. Notice that the K+ and NO3- and ions don’t undergo chemical changes. They are in the exact same form on both sides of the equation. Ions that don’t undergo a chemical change during a chemical reaction ar ...
Paper
... the density or the phase of the superfluid has a spatial periodic modulation. The breakdown of superfluidity by such population imbalance can be understood by realizing that deep in the Fermi sea, particles cannot form a pair or even scatter off one another because their motion is “frozen” by the ex ...
... the density or the phase of the superfluid has a spatial periodic modulation. The breakdown of superfluidity by such population imbalance can be understood by realizing that deep in the Fermi sea, particles cannot form a pair or even scatter off one another because their motion is “frozen” by the ex ...
Monatomic ideal gas: partition functions and equation of state.
... • Polyatomic gas molecules – vibration and rotation • Condensed matter – dense gases and liquids (classical limit) • Distinguishable particles – crystals, magnets ...
... • Polyatomic gas molecules – vibration and rotation • Condensed matter – dense gases and liquids (classical limit) • Distinguishable particles – crystals, magnets ...