1. Find the equation of constraints? 2. Find the Langrangian of the system?
Q: Consider a system consisting of four energy levels (ground state and three excited states) separated…
A: Let us find the expression for energy for N-indistinguishable particles for the given configuration.
Q: A particle of mass m moving in one dimension is subject to the potential (x) = V₁²²2e-², a>0. a)…
A: We will first plot the graph of of given function qualitatively. Then we will do derivative test…
Q: 3. The Hamiltonian has discrete nondegenerate eigenvalues Eñ, n = 1, 2, . . .. What is the general…
A: The objective of the question is to find the general solution of the time-dependent Schrödinger…
Q: laplace and poisson equation Assume that V is a function of y and at y =2, V=5 volt and at y = 4, V…
A:
Q: Write the General form of Schrödinger equation? Define all its terms? What is the name and formula…
A:
Q: 9. Show that the Laplacian defined a2f , a2f V²f = dx² ' ðy² as is isotropic (invariant to…
A: Given,∇2f=∂2f∂x2+∂2f∂y2x=x'cosθ-y'sinθy=x'sinθ+y'cosθ ...(1)Let's find…
Q: Question 2 Prove the following equation P.v (x,1) = pp (x,t) with P=2 2x-1) Knowing that v (x,1) =…
A:
Q: Two thin lenses with focal lengths p and q and separated by a distance d have their combined focal…
A: Two thin lenses with focal lengths p and q and separated by distance d have their combined focal…
Q: A ball of mass m, slides over a sliding inclined plane of mass M and angle a. Denote by X. the…
A: The Euler-Lagrange equations are a set of second-order ordinary differential equations in the…
Q: The Hamiltonian of a system has the form 1 d² 2 dx² अ = • 1⁄2 x² + √4x¹ = Ĥ0 + V4Xª Let ½(x) = |n)…
A:
Q: 2. Ein d lagranges e quation
A: Given data, Lagrangian of a system is given as following :- Lq,q.,t=q.4-q29
Q: 3. The effective one-body Hamiltonian for a single particle in a central well can be written in…
A:
Q: 2. It is known that the harmonic oscillator has a Hamiltonian (p²) x² + mw? 2m H, 2 and an electric…
A: Let us find the first and second order energy correction due to given perturbation in the harmonic…
Q: Consider a one-dimensional anharmonic oscillator for which the potential function is V(x)=1/2kx?+…
A: Hey dear have a look
Q: 2. The wavefunctions for the particle in a 1-D box are given as Pn (X) = , nTX sin (a) Show that…
A:
Q: Which of the following statements is true? I. Every one-particle Hamiltonian operator commutes with…
A: I-Every one particle Hamiltonian operator commutes with L2 and Lz , this statement is not true…
Q: Q2. Find the Flux of E(x.y.2) = (2x'+ siny+8x) i -6y'i +( 3z+5z-2)k Out of the ellipsoid (x-5), -8)'…
A:
Q: A system of two particles each with spin 1/2 is described by an efective Hamiltonian H = A(s12 +…
A:
Q: Polystrenes # of Scans Resolution wavelength cm Uncertainty in intensity 0.482 3.857 16 1 2 16 8 3…
A: Uncertanity = (max - min) / 2 = (7.714 - 0.482) / 2 Uncertanity = 3.616 /cm
Q: В
A:
Q: Consider a simple plane pendulum consisting of a mass m attached to a string of length I. After the…
A:
Q: A circular plate is placed inside the liquid that has a density of 980 kg/m3. Write down an integral…
A: Draw the schematic diagram as below. Equation of circle whose center use on origin having radius,…
Q: 1. Find the Matrix that represents the operator of the second derivative with respect to position.…
A:
Q: k20, y[0] - 1, у1] - 0
A: Given equation : yk+2-yk=0.5ukHere,k≥0, y0=1 and y1=0
Q: 4. Consider a set of orthonormal eigenfunctions 4i of the operator 4 (where 4 = a, 9. ) and the so…
A: Here we have a very important as well as easy question. The trick here is to first check for…
Q: Draw truth tables and circuit diagrams of the following boolean equations: a.(A.B.C).(A+B+C) b.…
A: Given: Boolean equations: a) A.B.C.A+B+C b) BC'D+A'B'CD'+ABD'
Q: 2.12 A gun is fired straight up. Assuming that the air drag on the bullet varies quadratically with…
A:
Q: Find the sum-of-products expansions of these Boolean functions. 1) 11) F(x, y, z) = x+ y+z F(x, y,…
A: Hey, since there are multiple questions posted, we will answer first question. If you want any…
Q: Question 3 If the Lagrange's function for mechanical system is L = ;k (é² + g²(sin 0)² ) + g cos e.…
A: The Lagrangian is L=12kθ˙2+12kϕ˙2sin2θ-gcosθ
Q: Consider a particle of mass m moving in two dimensions (neglect gravity). The particle feels a…
A:
Q: 2. Show that the following functions are harmonic, that is, that they satisfy Laplace's equation,…
A: So we have to prove the following functions are harmonic i.e they satisfy the Laplace equation.…
Q: Ti Find the value of Stokes theorem for A = x ay +y a, + z az. The state of the function will be a.…
A: Using the stokes theorem , we will find curl of the function . If curl of function is zero ;…
Q: 3. Let's have another swing at the one-dimensional harmonic oscillator. Suppose that the oscillator…
A:
Q: Find all eigenvalues and eigenvectors of the Hamiltonian defined over the Hilbert space of two…
A:
Q: A hemispherical bowl of radius a is held fixed with its rim upwards and horizontal. A particle of…
A: Lagrangian is nothing but the difference between kinetic energy and the potential energy of an…
Q: Solve the following system by graphing and verify that your solution satisfies the system. {2x + y…
A: Given : 2x+y=20 x+y=12 In this question we have to find the value of x and y by plotting a graph.
Q: Given that: R= 2.1, V1=2.4, V2=8.1, Using Superposition theory, Find Vab due to V2 only ? ww- V1 ww-…
A: Given, V2= 8.1 V R=2.1 ohm
Q: The Longrongion of 1D harmonic is, ()- write Euler-Congrange equation of system? ().write…
A:
Q: Choose the correct number below. In Lagrangian mechanics, one needs to know the number of degrees…
A: Introduction: Degrees of freedom can be defined as the number of independent ways in which the space…
Q: 4. Does the condition dp/dt reference systems? Explain. 0 mean the same thing in the Lagrange and…
A: dρdt=0(given),langraingian formula for electromagnetism current is conserved, dρdt+∇·J⇀=0if…
Q: 2. Show that the first two wavefunctions of the harmonic oscillator (McQuarrie Table 5.3, p. 170)…
A:
Q: The energy absorbed in the transition from n=1 to n=2 for a 1-dimensional harmonic oscillator is hv.…
A: Given that: Transition from n=2 to n=1
Q: 1- by using the Covariance theory to find the wave function of a harmonic oscillator, we use the…
A:
Step by step
Solved in 2 steps with 1 images
