Recent content by ynuo

I think I got it. Thanks.

This is the part that I have trouble with. I know that if I had a constant potential or any other type of potential, then a substitution in Schrödinger's equation will be required. From there I will have to solve a DE. But in the case of infinite potential I am not sure.

How does this potential: V(x)={Inf for x<0, bx for 0<x<a, Inf for x>a} differ from: V(x)={Inf for x<0, bx for x>0} with regards to Schrödinger's equation, wave functions, and the energy states. P.S. the tex graphics are not showing when I try to post my question using tex macros...

I am looking for integration tables online that can help me to calculate integrals of the form: x^n e^(x^n) x^n cos(k x) sin(m x) e^(x^n)*cos(k x) sin(m x) x^n [cos(k x)]^n e^x^n [cos(k x)]^n Any help is much appreciated. I will learn and use tex in my future posts :smile:.

Homework Statement Consider the wave function Psi(x, t)=1/sqrt(a) * [sin(2*pi*x/a)*e^(-i*E2*t/h_bar) + cos(3*pi*x/a)*e^(-i*E3*t/h_bar)] for the particle in the one-dimensional box. a) Calculate the expectation values <E>, <x>, and <p>. b) Show that <x> and <p> satisfy the relation...

This is a trivial question, but would I be able to approximate it using the relations: delta(x)=h_bar/sqrt(2m(V0 - E))

Homework Statement Assume that a particle in a one-dimensional box is in its first excited state. Calculate the expectation values [x], [p], and [E], and the uncertainties delta(x), delta(p), and delta(E). Verify that delta(x)*delta(p)>=h_bar/2. Homework Equations Psi=sqrt(2/a)...

I am looking for books not at the level of Sakurai and Ramamurti Shankar (Graduate level).

I am looking for a book containing a concise treatment of Quantum Physics at the level of Resnick and Brehm. I find these two books to be a bit wordy. Any suggestions are much appreciated. Thank you very much for your help.

Homework Statement Apply direct differentiation to the ground state wave function for the harmonic oscillator, Psi=A*e^(-sqrt(mk)x^2/(2*h_bar))*e^(-i*w*t/2) (unnormalized) and show that Psi has points of inflection at the extreme positions of the particle's classical motion...

Thank you very much for your reply and your help. Actually, there is a chapter devoted to the Mathematics of Newton and Leibniz in M. Baron's book the first edition. It is chapter 7. I was wondering if I can find another book to help me understand this chapter.

Is there a companion that I can use to complement "The origins of the infinitesimal Calculus" by Margaret Baron. I am having trouble following the ideas in Baron on the development of Calculus by Newton and Leibnitz. Thanks a lot.

I am looking for books that can help me to answer the following questions. 1. How Newton and Leibnitz independently invent calculus. 2. What were the controversies that followed. 3. How did the two theories continue to evolve? Did one theory win over the other? Can you please recommend...

Here is what I have done so far: For the 2nd I believe I got the answer. But for the first one I think that definition 4 contradicts definition 5 and Af3. Because by definition 5: L1=L2 and L2=L3. This means according to definition 4 that every point contained by L1 is contained by L2...

Hello, Can you please help me with the questions listed below. I would like to get hints on how I can solve them. I have listed first the axioms and then the questions at the bottom. Axioms: --------------------------------------------------------- A plane consists of: -two sets P...