m L = 1 {i² + (1+r)²a²} _K__ r ² 2 2 d L dt dr ƏL ər = mř − ma² (1 + r) + Kr = 0
Q: The normalized wave function for a state is given by (r) = (z+ ix)f(r). a) Describe the angular…
A: The normalized wave function for a state is given by
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: Is the following total differential exact? df(g,h) = 7g(g^3+ h^2)jdg + 2h^4(3g^2 + 7h^2)jdh. Could…
A:
Q: Straight Wire Segment A straight wire segment of length I makes an angle of 23 degrees with respect…
A:
Q: Find the gradient and the Laplacian at V(x19, 2) = √(x-1)^-+ (13-b)+(2-c)
A:
Q: What does your result for the potential energy U(x=+L) become in the limit a→0?
A: We want to calculate lima→0qQ8πε0alnL+aL-a=qQ8πε0lima→0lnL+aL-aa
Q: 2.21. Plot the following curves, locate any fixed points, and obtain asymp- totic expansions to…
A: Given: 2y2k+1-5yk+1yk+2y2k=2 Let the variable yk+1=y and yk=x.…
Q: う
A: Given: [L^2,L^z]=0
Q: Use the facts that det(E3E2E1E0A) = 1 and Eo is a scale matrix (-949,: → A9,:) E₁ is a swap matrix…
A:
Q: Consider the similarity transform of a matrix a to A’ given A’ = S-1AS. You need to prove | A n | =…
A: as A'=S-1AStherefore1. (A')n=S-1ASS-1ASS-1AS...........S-1AS where the term in square…
Q: Add the 2x2 identity matrix along with the three 2x2 Pauli matrices (see image 1), and show that any…
A: Let M be any 2×2 arbitrary matrix described as below, Here C is the set of all the complex numbers.
Q: How is the highlighted section the lagrangian? what about the kinetic energy?
A: The highlighted section (∫ y(x)√(y'(x)² + 1) dx) is not the Lagrangian itself, but it's a part of…
Q: Suppose that you have the Lagrangian L = (;2 + 0ʻr²) + 420 for a 2D 20 system in plane polar…
A: Conjugate momenta Pq corresponding to conjugate variable q is given by Where L = Lagrangian of the…
Q: Check the divergence theorem for the provided function (see attatched image), using as your volume…
A:
Q: The Henmitian CoNTugate of the operator is ?
A:
Q: A ring of mass M rests on a smooth horizontal surface and is pinned at a point on its circumference…
A: Given: The mass of the ring is M The mass of the bug is m
evaluate the Lagrangian and show that it equals the answer in pink
We have to show,
Lagrangian in blue is equals the answer in pink
Step by step
Solved in 2 steps with 1 images
- Prove that ||A + B|| ≤ ||A|| + ||B||. This is called the triangle inequality; in twoor three dimensions, it simply says that the length of one side of a triangle ≤sum of the lengths of the other 2 sides. Hint: To prove it in n-dimensional space, write the square of the desired inequality using (10.2) and also use the Schwarz inequality (10.4). Generalize the theorem to complex Euclidean space by using (10.7) and (10.9).Taking into account that the product of two Hermitian operators Aˆ and Bˆ can be written as a) Prove that kˆ and hˆ are Hermitians.please solve
- Bit confused you say with is the definition of a complex conjugate but all I've ever seen is |X|^2=(X*)(X). Can you provide maybe a reference or proof of this?Prove that adding a constant to the Lagrangian L or else multiplying the Lagrangian by a constant produces a new Lagrangian L′ that is physically equivalent to L. (Physically equivalent means that the Euler-Lagrange equations for the q(t) remain the same under this change of Lagrangian).Find a potential function for F or determine that F is not conservative. (If F is not conservative, enter NOT CONSERVATIVE.) F = (2xy + 3, x2 – 22, -2y)