Normalize Definition and 41 Threads

Normalize function f(r) = Nexp{-alpha*r} Where alpha is positive const and r is a vector I was just wondering if the fact that we have a vector value in our equation changes anything about the solution

Say two digits numbers are given like 10,20,30,55,95,85,12,13,52...etc. Is it necessary to normalize them to numbers between 0 to 1? i.e 0.10 for 10, 0.20 for 20 and so on? I've read this to be the case for K-S test. But I'm not sure for chi-square test. I'm not 100% sure on this information as...

I'd like to plot the normalized convolution of a Gaussian with a Lorentzian (see the definitions in terms of full width half maximum (fwhm) in the attached image). Here is my attempt, but the print statements with np.trapz() do not return 1 in both cases, but rather ##\approx##0.2. I'd also like...

For normalizing this wave function, I began by finding the complex conjugate of psi and then multiplied it with the original psi. Now what I am getting is A^2 integral exp(2cx^2-4ax) dx = 1 Now I am not getting how to solve this exponential term. I tried by completing the square method but it is...

I am just solving the equation $$\frac{h}{2\pi i}\frac{\partial F}{\partial x} = pF$$, finding $$F = e^{\frac{ipx2\pi }{h}}C_{1}$$, and$$ \int_{-\infty }^{\infty }C_{1}^2 = 1$$, which gives me $$C_{1} = \frac{1}{(2\pi)^{1/2} }$$, so i am getting the answer without the h- in the denominator...

I have a basic question in elementary quantum mechanics: Consider the Hamiltonian $$H = -\frac{\hbar^2}{2m}\partial^2_x - V_0 \delta(x),$$ where ##\delta(x)## is the Dirac function. The eigen wave functions can have an odd or even parity under inversion. Amongst the even-parity wave functions...

I have calculate a serie of view factors for a given geometry and its sum is aproximately one but not exactly. My values are: 0,1134 0,1307 0,2446 0,12393 0,115053 0,010084 0,007334 0,1071 0,0145 0,0128 0,0919 0,01675 0,00463 0,00344 The sum now is equal...

Homework Statement An electron coming from the left encounters/is trapped the following potential: -a<x<0; V=0 0<x<a; V=V0 infinity elsewhere the electron has energy V0 a)Write out the wave function b)normalize th wave function Homework EquationsThe Attempt at a Solution for -a<x<0...

Homework Statement I am having trouble with part d, where they ask me to prove that the wave function is already normalized The Attempt at a Solution But that clearly doesn't give me 1. I tried to use spherical coordinates since it is in 3D? Not really sure how to proceed. EDIT: I realize...

I'm trying to prove that the wave function of Hydrogen for the fundamental state is normalized: $$ \Psi_{1s}(r)=\frac{1}{\sqrt{\pi a^3}}e^{-\frac{r}{a}} $$ What I tried is this: $$ I= \int_{-\infty}^{\infty} | \Psi^2(x) | dx = 1$$ $$ \int_{-\infty}^{\infty} \frac{1}{\pi...

Homework Statement Prove that ##\psi_n## in Eq. 2.85 is properly normalized by substituting generating functions in place of the Hermite polynomials that appear in the normalization integral, then equating the resulting Taylor series that you obtain on the two sides of your equation. As a...

Hey everyone, I understand how to normalize a second order system, but I wanted to know if the same steps are taken when the parameters of the system are not scalar but matrices. For example where the parameter phi, and gamma are both 3x3 matrices and X is a 3x1 vector. From what I've see...

I need to normalize an array, I find the max value which can be any integer. I have to output this number using cout and represent it as 'x' how ever many times. The catch is I can only have a max amount of 60 x's. If my max is 500 I need to display it as 60 'x' and normalize my whole array to...

I should start by saying that, as a novice data analyst, I have very little experience with MRI physics, but I believe I understand the absolute fundamentals. Also, this post mostly concerns data analysis issues so might be better suited for some other signal processing forum, but I'm hoping...

Hi Guy, My name is John Dolan and I am an Irish student studying Astronomy in the university of Groningen in the Netherlands. I have been interested in Physics and Astronomy since I was knee high to a grasshopper and I look forward to asking questions, finding out new ideas and new ways of...

Hey all, This question may sound daft, but how do I normalize angular frequency? For a little background: I'm trying to optimize some circuits, and I've managed to write some successful code using the "Design of Ultra Wideband Antenna Matching Networks" book, but the code requires normalized...

Homework Statement Normalize the wave function ,\psi(x), where \psi(x)=\frac{1}{1+ix}. Homework EquationsThe Attempt at a Solution \langle\psi\mid\psi\rangle= \int_{-\infty}^{\infty}\frac{1-ix}{1+x^2}\frac{1+ix}{1+x^2}dx=\int_{-\infty}^{\infty}\frac{1}{1+x^2}=\left...

and I am trying to learn the subject. Please help me to this questions!

In most textbooks I've read and programs I've work with, differential equations are normalized (made dimensionless) before being solved with some numerical method. What is the point of this? It's seems to be a lot of work for no benefice. So, after a lot of derivations, you end up with some...

I have 2 measures that I am using to rank terms that I get them by prediction (using linear regression). They are the time to transmit X bytes and the time to compute the X bytes. I do the prediction if I execute in host A, B, and C. I add the 2 measures and rank the hosts. I think adding these...

Homework Statement The solution to the Schrodinger equation for a particular potential is psi = 0 for absolute x > a and psi = Asin(pi*x/a) for -a <= x <= a, where A and a are constants. In terms of a, what value of A is required to normalize psi? Homework Equations psi = 0 for absolute...

Homework Statement The problem is attached in the picture. It is to normalize the wavefunction to find the value of A. The Attempt at a Solution The solutions used an element volume dV of a very thin shell, then integrated r from 0 to ∞. I didn't think of this way, I simply...

why is the function must be normalize ? what is the meaning of normalization I know it's ∫ψψ*=1 but what it mean ?

In quantum mechanics, most wave functions are normalized with \int |\phi|^2 dx^3 =1. But I did not see any field in the quantum field theory is normalized. I understand they maybe just plain waves and does not need to be normalized. But in some cases, if we do not expand the field as plain wave...

Can someone tell me how I can 'normalize' my dataset? My scenario is as follows. I have two datasets, A (real-life data) and B (simulated data). Dataset A contains 4 numerical values (from an actual experiment): -> E.g. 4 leaves from a binary tree each assigned with values...

Homework Statement A particle of mass m is moving in one dimension in a potential V(x,t). The wave function for the particle is: ψ = Axe^([-sqrt(km)/2h_bar]*x^2)e^([-isqrt(k/m)]*3t/2). For -infinitity < x < infinity, where k and A are constants. Normalize this wave function. Homework...

What do we meen by "Normalize Lebesgue Measure", when we talk about functions on the unit circle. If some example is introduced it will be better (how to evalutae the integral).

Why do we need to normalize vectors for? Is it just to cut down on the arithmetic when finding other quantities of the vector? Does it make life simpler to normalize vectors?

Homework Statement To find the stationary states and the corresponding energies, I need to normalize the following equations: X(x)=A_x sin(\frac{n_x\Pi}{a}x) Y(y)=A_y sin(\frac{n_y\Pi}{a}y Z(z)=A_z sin(\frac{n_z\Pi}{a}z Because of their similiraty, these value of the normalize...

Homework Statement Find the binary form of x= 7/10 Suppose that the number x= 7/10 is to be stored in a 32-bit computer, find the nearby machine numbers x_ and x+ Homework Equations The Attempt at a Solution I have found that 7/10 in binary form is: 0.101100110011001100...

At time = 0 a particle is represented by the wave function \Psi(x,0) = \left\{ \begin{array}{ccc} A\frac{x}{a}, & if 0 \leq x \leq a, \\ A\frac{b-x}{b-a}, & if a \leq x \leq b, \\ 0, & otherwise, \end{array} \right where A, a, and b are constants. (a) Normalize \Psi (that is, find A, in...

Homework Statement A hydrogen atom given the following state: \psi (r, 0) = A\psi_{100}(r) + (\frac{1}{\sqrt{5}})\psi_{311}(r) + (\frac{1}{\sqrt{3}})\psi_{422}(r) I must normalize this to solve for the normalization constant A Homework Equations The Attempt at a Solution Is it just me or...

What does it mean to normalize a non-normalized wavefuction as in psi=something?

normalize the wave function and more! Please help! Homework Statement i) Normalize the wave function ii) Calculate <x> iii) Calculate <x^{2}> iv) What would happen if a < 0? Homework Equations \psi\left(x\right) = N\left(1+i\right)exp\left(-a|x|\right), for -inf <...

Homework Statement \Psi(x) = \frac{C}{a^2 + x^2} Homework Equations I know to do this I need to solve for: \int_{-\infty}^{\infty} \left|\Psi(x)\right|^2 = 1 The Attempt at a Solution I'm not sure how to do it for this function. I've tried various methods to solve C^2...

Homework Statement I am unfamiliar with LaTeX (is there a tutorial around, or should I just wing it and risk posting a potential mess?). my problem is that I need to normalize a wave function: psi(x,t) = Ae^(-bx)e^(-iwt). there are no constraints given. Homework Equations integral of...

Hi there this is my first post here, I am having some trouble with a homework question in quantum. I need to normalize both ψ1 and ψ2 and then find the energy eigenvalues of each. The given Hamiltonian is H0 = (1 2 ) (2 -1) And ψ1 = (...

Homework Statement A Quantum mechanical particle is defined by the following wave functions: \Psi(x) = Aeax for x<0 \Psi(x) = Ae-2ax for X>0 where A and a are both real, positive constants. Normalize the wavefunction, i.e. determine an expression for A in terms of a. Homework...

i need to normalize(F/Fmax) the function: F(theta)=2*e(-theta)*sin(2*theta) where theta is <= pi/2 and F(theta) is 0 otherwise. theta can basically go to negative infinity which would make Fmax very large.

I'm trying to normalize the even wave functions for the finite square well. The wave function is: \psi(x)= \begin{cases} Fe^{\kappa x} & \text{for } x< a\\ D\cos(lx) & \text{for } -a\leq x \leq a\\ Fe^{-\kappa x} & \text{for } x> a \end{cases} How can I determine D and F? When I...

I have a homework problem here I am a little at a loss on due to not very good examples in class and the part of the book that explains them is 4 chapters ahead and loaded with words I just do not understand yet. :bugeye: If someone could give a definition or two and get me started on this bad...