Recent content by jasony

yes why does the ground state has no node? Can anyone provide a simple maths proof?

Anyone who can help? please...

Anyone who can help? please...

Can we always write the wavefunction as \psi_n(x)=N_ng_n(x)\sum_i{c_{n,i}x^i}? Why? Is there other simple proof for the nodeless property of ground state wavefunction?

Anyone knows any simple proof?

But generally speaking, is it true that ground state must have no node? Why?

I am looking at some of the notes but don't quite understand this. What are the physical explanation of the graphs (Fig 4(a) and 4(b)) on Page 4 ? http://www.pma.caltech.edu/~mcc/Ph127/b/Lecture3.pdf" Why V_{g} decreases with temperature but V_{l} increases with temperature?

Why must the ground state not have a node？ And the first excited state must have 1 node.

Homework Statement Why is the ground state always symmetric and first excited state anti-symmetric? OR Why does the ground state always have no node and first excited state has one node? Homework Equations The Attempt at a Solution

Homework Statement Give the physical explanation of the graphs (Fig 4(a) and 4(b)) on Page 4 http://www.pma.caltech.edu/~mcc/Ph127/b/Lecture3.pdf" Homework Equations 1) Why V_{g} decreases with temperature but V_{l} increases with temperature 2) Why must phase transition happen at...

Homework Statement A yo-yo consists of two uniform heavy discs, each of mass M and radius R, connected by a light axle of radius a around which one end of a string is wound. One end of the string is attached to the axle and the other to a fixed point P. The yo-yo is held with its centre of mass...