If x is a character of a finite-dimensional representation of a finite group G, show that x(g) is maximum for g = e, the identity element of G.
Q: Is there any relation between the automorphism of the group and group of permutation? If exists,…
A:
Q: xy + xy + xy
A:
Q: Verify Divergence Theorem for the function F = yi + xj + z? k over the region bounded by x + y? = 9,…
A:
Q: we have Â* = -AÂ. A
A:
Q: Use the method of separation of variables to construct the energy eigenfunctions for the particle…
A: Given equation, −ℏ −ℏ22m[∂2ϕ(x,y)∂x2 +∂2ϕ(x,y)∂y2] =Eϕ(x,y) ---------(1)To apply seperation…
Q: The Hamiltonian of a certain system is given by [1 0 0 H = hw |0 0 0 Lo 0 1 Two other observables A…
A:
Q: Let T:V to V be linear with finite dimV=n, if f(x)=(-1)^n (x-λ_1)^α_1...(x-λ_r)^α_r Let W be a…
A: Its given That f(x)=(-1)n (x-λ1)α1...(x-λr)αr
Q: Find the principal invariants, principal values and principal directions of the order tensor T,…
A: The tensor given in the question is T=3-10-130001 This is a symmetric tensor. TT=T Let us calculate…
Q: Find the measures of the angles of the triangle whose vertices are A = (5, 8, 9), B = (4, 3,9), and…
A:
Q: state,prove and explain the Cauchy's Residue Theorem. (course:Mathematical Method for Physics)
A: Cauchy’s residue theorem is a consequence of Cauchy’s integral theorem. Theorem: Suppose f(z) is…
Q: Consider the solid D given by {(r, y, 2) € R°; ² +y° <z<2- V + y?}. D = Let F(x, y, z) = (2rz + e)i+…
A: The Divergence Theorem or Gauss's Divergence Theorem was invented and proved for the first time by…
Q: Let f(x) = {*," Sx + 2 kx2 x 1) The value of k that will make f continuous on R is If f (x) = 1 –…
A: For f(x) to be continuous the left hand limit must be equal to right hand limit.
Q: For a cyclic group, show that every element is a class by itself. Show this also for an Abelian…
A: Cyclic groups are abelian. "An element always commutes with powers of itself." The key with cyclic…
Q: Find the norm of each of the following functions on the given interval and state the normalized…
A: we need to evaluate the integral of the square of the function over the interval, and then take the…
Q: Find the following commutators by applying the operators to an arbitrary function f(x) [e, x+d²/dx²]…
A: Given Data:The first commutator is [ex,x+d2dx2]And the second commutator is [x3−ddx,x+d2dx2]The…
Q: 2(a) Verify Cayley-Hamilton theorem for the given matrix B. [1 B = |2 -1 (b) Find the inverse of…
A:
Q: 4. For the function 2-1 z³(z − 2) 1 (4) find the first few terms of the Laurent series about the…
A: Since we know that residue at origin means at z=0 is coefficient of 1/z.
Q: Consider the gaussian distribution p(x) = A[e^L (x-a)^2] where A, a, and L are positive real…
A: Gaussian distribution function is also called as the probability distribution function which is used…
Q: has the following no
A:
Q: In considering two operators that correspond to physical observables, if the operators commute, then…
A: If two operators A and B commute, that is, [A,B]=AB-BA=0, then they share a complete set of…
Q: The Hamiltonian of a certain system is given by 1 0 0 H = hw|0 0 0 Lo 0 1 Two other observables A…
A: Given: The Hamiltonian of the system is
Q: Let Z = 0X0|- |1X1| in the Hilbert space C². Calculate HZH |0) and HZH|1), where H is the Hadamard…
A:
Q: (b) If a micro-system is in a state [a), then we can expand [a) using the orthogonal- normalized…
A: Given:|a>=∑ici|i> where \)" data-mce-style="cursor: default;">|i> are orthonormal eigen…
Q: Starting from the definition of the partition function, Z = Ei e-Bei, prove the following: a) (E): =…
A: We know that expextation value of a physical quantity is average value of that physical quantity…
Q: For an operator to represent a physically observable property, it must be Hermitian, but need not be…
A: Given that- For an operator to represent a physically observable property,it must be hermitian,But…
Q: Let X and Y be random variables such that E[X] = E[Y] = 0 and Var (X), Var(Y) Var(Y) then P(|X| >…
A: Solution: Let X and Y be random variables, such that E(X)=E(Y)=0 and Var(X)<∞, Var(Y)<∞
Q: alar quantizer =
A: Given as, 1- bit scalar quantizer U~N(0, 1)
Q: Draw a truth table and circuit diagram of the following boolean equation: (A.B.C)+(A+B+C)
A: Truth table for (A.B.C)+(A+B+C) :-
Q: Find the Expression for the Energy Eigenvalues, En.
A:
Q: The Hamiltonian of a system has the form 1 d² 1 · + ²⁄3 x² + √4x² = Ĥo + Y₁X² 2 dx2 2 Ĥ = == Let…
A:
Q: Define the nth Taylor polynomial of f(x) at x = a.
A: let us consider a function; y=fx The…
Q: 6. In lecture we considered the infinite square well located from 0 1/1/201 a) Determine the…
A:
Q: Find the eigen states of the operators S, and S, in terms of the eigen states of the operator S;:…
A: The problem is based on spin angular momentum. On the basis of experimental observations, Uhlenbeck…
Q: Consider the two planes (5x+y-z=0) and (x-2y+3z=-1) Argue why the intersection of these two planes…
A: Intersection of two planes:
Q: Let (Gen, H) be a collision-resistant hash function, where H maps strings of length 2n to strings of…
A: Given that,Gen H be a collision-resistant hash function,H maps strings of length 2n to strings of…
Q: Define a random variable X : [0, 1] → R on the probability triple ([0, 1], B[0, 1],Leb ) by X(w) = –…
A:
Q: 11. Show that the set of nonunits in Z, is an ideal of Zs
A: Solution:- The set of nonunits in Z8 is an ideal of Z8.…
Q: Consider the dispersion relation w²u²k²-2лGбok, which describes the gravitational stability of a…
A:
Q: #1: Find the time depended wave functions V(x, t) = ?
A:
Q: (c) Let the Hilbert space be H = C³ (which could be used to describe a three-level atom). Let us…
A: Given that, A^=-2000-3000α and B^=200001010 Also, A and B have common set of eigen vectors. It is…
Q: Prove that the eigen value of hermitian operator are real.
A: Let λ be an eigen value of hermitian operator in the state described by normalized wave function ψ.…
Q: Sketch f(y) versus y. Show that y is increasing as a function of t for y < 1 and also for y >…
A:
Step by step
Solved in 3 steps with 17 images
