Recent content by Nate810

The oscillator model in a generalized Snyder scheme is a mathematical model that describes the dynamics of an oscillator, i.e. a system which can oscillate between two states over time. It is usually derived from a system of coupled differential equations, in which the oscillator is driven by a...

To solve this question, you will need to use the ideal gas law equation and the equation of state for a real gas. The ideal gas law equation is P*V = n*R*T, where P is the pressure, V is the volume, n is the number of moles, R is the universal gas constant, and T is the temperature. The equation...

/* * Copyright (C) 2011-2012 DarkCore <http://www.darkpeninsula.eu/> * Copyright (C) 2011-2012 Project SkyFire <http://www.projectskyfire.org/> * Copyright (C) 2008-2012 TrinityCore <http://www.trinitycore.org/> * Copyright (C) 2005-2012 MaNGOS <http://getmangos.com/> * This program is free...

The reason why the authors of your textbooks omit the magnetic contributions when calculating the momentum of the nucleon is because they are assuming a simple quark model of the nucleon, in which the quarks have only electric charge. In this scenario, the magnetic contributions from the quarks...

The energy lost by the wave is used to oscillate the electrons inside the conductor, so we can model the system as a damped driven oscillator. The equation of motion for a damped driven oscillator is given by:$$ \ddot{x} + 2 \beta \dot{x} + \omega_0^2 x = F_0 \cos(\omega t) $$ where $\beta$ is...

To calculate the normal vector in terms of U, we first need to rewrite the surface in terms of U. We can do this by writing S as a function of U:##S = S(U)##Now we can calculate the normal vector by taking the partial derivative of S with respect to U:##n^\mu = g^{\mu\nu} \partial_\nu S =...

The Schrodinger equation is used to calculate the expected behavior of quantum systems. For a single qubit, this equation can be written as: i\hbar\frac{\partial}{\partial t}\Psi(x,t) = \hat{H}\Psi(x,t)where $\hbar$ is the reduced Planck constant, $\Psi(x,t)$ is the wavefunction of the qubit...

The Ga and As atoms do interact, so $N_D = 2*10^{16} \text{cm}^{-3}$ is correct. This means that there are two different types of dopant atoms on the n-side, one type is donors and the other is acceptors. The total concentration of dopants is then $N_D + N_A = 4*10^{16} \text{cm}^{-3}$.

The tangle equation is given by:T=1/4 (C_A^2 + C_B^2 + C_C^2 - 2C_AC_B - 2C_BC_C - 2C_AC_C),where C_A, C_B and C_C are the concurrences between subsystems A, B and C respectively.To solve for the tangle, we need to first calculate the concurrence of each subsystem. This can be done using the...

A:The third equation is simply a vector identity, and can be proved by expanding the cross products. $$\mathbf{J}_2 \times \mathbf{J}_1 \times (\mathbf{r}_2 - \mathbf{r}_1) = (\mathbf{r}_2 - \mathbf{r}_1)\cdot(\mathbf{J}_2 \times \mathbf{J}_1) - (\mathbf{J}_2 \cdot (\mathbf{r}_2 -...

Yes, it is possible to construct the probability distribution for a Kadannof block with even sites such as a square lattice. The general form of the probability distribution can be written as:P(s,s')=\frac{1}{I}\sum_{i=1}^{I}\delta_{s_i,s'_i}where I is the number of blocks and...

Yes, what you have done is okay. The dotted square would be considered a primitive unit cell, while the hexagon would be a non-primitive unit cell. The non-primitive unit cell is made up of multiple primitive unit cells. The irregular shape you obtain when tracing bisectors is a Wigner Seitz...

The best place to start with this problem is by understanding what the curvature itself is. Curvature is a measure of how much a surface or space is curved. It can be defined as the rate at which a line deviates from being straight. Once you understand what the curvature is, you can then begin...

Yes, your hunch is correct. The attractive Dirac delta potential -a##\delta##(x) is a special case of the more general problem of an attractive delta potential V(x). The reflection and transmission coefficients for the attractive Dirac delta potential -a##\delta##(x) are the same as those for...

Thanks!Yes, that is correct. However, note that the third term should include a factor of $\lambda$ in the numerator (i.e., it should be $\frac{im\lambda}{v}\frac{i}{q^2 - M_H^2 +i\Gamma_H M_H}i\lambda v$). This is because this term corresponds to the exchange of a single Higgs boson between the...