In a QM course,
I learn that an operator can be represented by basis vectors
If the basis vector is complete, the following relation holds
There exist coefficient Mij such that
Sigma Mij |i > < j|. = I , |i> is the basis! and I is the identity matrix
But isn't that in linear algebra
We...
I am learning about the basic quantum mechanics
I know that an operator ,call it M^, is generally a matrix
And we also can be represent it b a matrix representation M, associated with certain basis |e>
M^ = sigma ( Mij |e> <e|)
I,j
Where Mij is matrix element of M
So now I wonder...
I have just learned the quantum harmonic oscillator
When we start to Solve the schodinger equation. y"= (K - x^2) y
We look at large x behaviour and use a substitution y = u(x)* exp(-x^2 /2)
to approximate the large x behaviour first,
then we use series method to solve the equation...
Homework Statement
Hi everyone
In an isochoric process ( a solid heat body with T1 temp. connected with heat bath with T2 temp)
we could calculate its entropy change(heat body) from dS = Cv/T dT
and entropy change of heat bath from dS = dQ / T2, using dQ = Cv dT in 1st equation
( i...
Homework Statement
f(x,y) = y^2 + (x^3)*sin(1/x) when x =/= 0
= y^2 when x = 0
i want to prove fx(x,y) is not continuous at (0,0)
Homework Equations
The Attempt at a Solution
i found when x=/=0 , fx = 3(x^2)sin(1/x) - xcos(1/x) -----eq(1)...
i know what you mean, you guide me to consider the motion of small portion of chain
to obtain N1 = v * dm/dt
but i still don't understand why the term m *dv/dt vanish even it should be in equation of Newton 2nd law
Homework Statement
the question is about a very flexible strain falling on a rigid table and ask for expression of normal reaction of table at a certain instant
Homework Equations
when i was trying to solve problem , i resolve N(normal reaction) into N1, N2
which N2 is the weight of...
sorry i don't know what does 'The charges on the inner surface arrange themselves to cancel any field from the charge within the cavity' mean. does it mean that the e field within the cavity and the metal shell , both e field is zero or only with the shell. and why does the 'self arrangement of...
hey i got some problems in doing this question
http://i4.photobucket.com/albums/y117/tkm20022001/AL%20PHY/phy03mc_32_33.jpg"
the official ans is A
i don't know why the 2nd statement is wrong. i think it's right as it;s at equilibrium state if not the charge will accelerate due to e field...