Bethe Ansatz in AdS/CFT: from local operators to classical
... • BMN limit Berenstein, Maldacena, Nastase’02; Metsaev’02;… • Near-BMN limit Callan, Lee,McLoughlin,Schwarz,Swanson,Wu’03;… • Quantum corrections to classical string solutions Frolov, Tseytlin’03 Frolov, Park, Tsetlin’04 Park, Tirziu, Tseytlin’05 ...
... • BMN limit Berenstein, Maldacena, Nastase’02; Metsaev’02;… • Near-BMN limit Callan, Lee,McLoughlin,Schwarz,Swanson,Wu’03;… • Quantum corrections to classical string solutions Frolov, Tseytlin’03 Frolov, Park, Tsetlin’04 Park, Tirziu, Tseytlin’05 ...
Weeks_4
... Remark 13: Integrating the equations of motion for r yields Kepler’s (transcendental) equation ...
... Remark 13: Integrating the equations of motion for r yields Kepler’s (transcendental) equation ...
R - McGraw Hill Higher Education
... This is the equation of a conic of eccentricity e = Ch2/GM. The conic is an ellipse if e < 1, a parabola if e =1, and a hyperbola if e > 1. The constants C and h can be determined from the initial conditions; if the particle is projected from point A with an initial velocity v0 perpendicular to OA, ...
... This is the equation of a conic of eccentricity e = Ch2/GM. The conic is an ellipse if e < 1, a parabola if e =1, and a hyperbola if e > 1. The constants C and h can be determined from the initial conditions; if the particle is projected from point A with an initial velocity v0 perpendicular to OA, ...
constructing relative reactivity tables
... b) Equation (2) indicates no reaction. However, this means no forward reaction. The reverse reaction will take place: C- + A2 → A- + C2 • C2 reacts with B-, ∴ C2 is above B2 in table • A2 reacts with C-, ∴ A2 is above C2 • B2 reacts with D-, ∴ B2 is above D2 • This works out to A2 is above C2 , C2 ...
... b) Equation (2) indicates no reaction. However, this means no forward reaction. The reverse reaction will take place: C- + A2 → A- + C2 • C2 reacts with B-, ∴ C2 is above B2 in table • A2 reacts with C-, ∴ A2 is above C2 • B2 reacts with D-, ∴ B2 is above D2 • This works out to A2 is above C2 , C2 ...
Dynamical systems
... A phase space is a space in which all possible states of a system are represented, with each possible state of the system corresponding to one unique point in the phase space. The phase space of a two-dimensional system is called a phase plane, which occurs in classical mechanics for a single partic ...
... A phase space is a space in which all possible states of a system are represented, with each possible state of the system corresponding to one unique point in the phase space. The phase space of a two-dimensional system is called a phase plane, which occurs in classical mechanics for a single partic ...
1 - Penn Math
... A cyclist is on a long straight road leading from her home to a nearby lake. Assume that the speed of travel toward the lake is taken as positive (and speed toward home is negative) The graph below shows the cyclist’s speed as a function of time. She reaches the lake at the point labeled A, stops fo ...
... A cyclist is on a long straight road leading from her home to a nearby lake. Assume that the speed of travel toward the lake is taken as positive (and speed toward home is negative) The graph below shows the cyclist’s speed as a function of time. She reaches the lake at the point labeled A, stops fo ...
ch3-Projectile Motion1
... • The equations of motion for velocity and constant acceleration are used to analyze projectile motion quantitatively. • The x-component (in the horizontal direction) of a projectile's acceleration is zero. • The y-component (in the vertical direction) of a projectile's acceleration is –g. – The for ...
... • The equations of motion for velocity and constant acceleration are used to analyze projectile motion quantitatively. • The x-component (in the horizontal direction) of a projectile's acceleration is zero. • The y-component (in the vertical direction) of a projectile's acceleration is –g. – The for ...
WKB quantization for completely bound quadratic dissipative systems
... under a quadratic velocity dissipative field where only bound states are allowed, i.e. the particle is completely spatially confined for any energy. For this type of quantum systems an effective Hamiltonian will be proposed which not only yields the correct equations of motion for position and momen ...
... under a quadratic velocity dissipative field where only bound states are allowed, i.e. the particle is completely spatially confined for any energy. For this type of quantum systems an effective Hamiltonian will be proposed which not only yields the correct equations of motion for position and momen ...