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anuttarasammyak's latest activity
anuttarasammyak
replied to the thread
I
Completeness of Eigenfunctions of Hermitian Operators
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In other words in momentum representation \phi(p) \sim p^{-2} for infinite square well and \phi(p) \sim p^{-3} for finite square well...
Yesterday, 6:20 AM
anuttarasammyak
replied to the thread
I
Completeness of Eigenfunctions of Hermitian Operators
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Making use of your counter example, let me express my concern using Heaviside function. H_a(-x)+H_a(x)=2a for x=0 and 1 otherwise...
Monday, 4:40 PM
anuttarasammyak
replied to the thread
I
Completeness of Eigenfunctions of Hermitian Operators
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Yes, I guess so. I think a hydrogen atom hamiltonian satisfies this condition except the origin.
Saturday, 4:14 PM
anuttarasammyak
replied to the thread
I
Completeness of Eigenfunctions of Hermitian Operators
.
Your concern is completeness. There exists ##C^\infty## wave function, e.g. Gaussian wave function, which is a member of state vectors...
Saturday, 5:55 AM
anuttarasammyak
replied to the thread
I
Completeness of Eigenfunctions of Hermitian Operators
.
For infinite square well ##\frac{\partial^2 \phi}{\partial x^2}## diverges or has delta functions peaked at x=-w/2,w/2 For finite square...
Friday, 9:06 PM
anuttarasammyak
replied to the thread
I
Completeness of Eigenfunctions of Hermitian Operators
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As for square well potential, rectangular shape of edge cause discontinuity in derivatives of wave function. <p^4> and higher order ones...
Friday, 4:56 PM
anuttarasammyak
replied to the thread
Why is source force + electrostatic force = 0 inside battery?
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Following your taste, say f_s=-E+a Charge undertakes acceleration. When charge reach plus plate, it has got surplus kinetic energy of...
Apr 14, 2024
anuttarasammyak
replied to the thread
Why is source force + electrostatic force = 0 inside battery?
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Because the work which source force per unit charge does is \int_{minus \ plate}^{plus \ plate} f_s dx =\int_{minus \ plate}^{plus \...
Apr 14, 2024
anuttarasammyak
replied to the thread
I
On integral of simple function and representation
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\phi=\sum_{i=1}^N c_i \chi_{E_i}=\sum_{i=1}^M b_i \chi_{F_i} \int d\mu \ \phi=\int d\mu\sum_{i=1}^N c_i \chi_{E_i}=\int...
Apr 14, 2024
anuttarasammyak
replied to the thread
I
Biot Savart law gives us magnetic field strength or magnetic flux density?
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>Biot Savart law gives us magnetic field strength or magnetic flux density? Biot Savart Law is expressed by B or H. It is difficult...
Apr 14, 2024
anuttarasammyak
replied to the thread
I
On integral of simple function and representation
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May I interpret that \mu(E_i)=\int \chi _{Ei} d\mu ? Then the definition seems obvious.
Apr 14, 2024
anuttarasammyak
replied to the thread
Find the position vector of ##Q##
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Triangle OPC and QPB are similar with ratio 3.
Apr 13, 2024
anuttarasammyak
replied to the thread
Find the position vector of ##Q##
.
Apr 13, 2024
anuttarasammyak
replied to the thread
Understanding the math of definition of electromotive force
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Combination of these,i.e. we have time changing magnetic field and we have a rectangular current loop where one of the sides is movable...
Apr 12, 2024
anuttarasammyak
replied to the thread
I
Completeness of Eigenfunctions of Hermitian Operators
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Yes, it is, not from mathematical proof but from physical insights for me. If it were not, there should be states energy of which we...
Apr 12, 2024
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