Recent content by Juan Carlos
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J
Phase shifts for a localized Coulomb and harmonic potential
Hello, First of all, it would be nice to see explicitly your attempt of the solution. However, I don't think that you should use the power series method to solve the Radial Schroedinger equation at ##r<a##. In this approach, the problem arises once you impose boundary conditions. NOTE: I will...- Juan Carlos
- Post #2
- Forum: Advanced Physics Homework Help
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J
Small deviations from equilibrium and Lagrange multipliers
Hello Ted. Looking through your expressions, I guess that you are using the same notation of the book ("Principles of Statistical Mechanics" by Amnon Katz). Two points: What is the expression of your statistical functions ##f##'s? I assume that it should be something like this for system...- Juan Carlos
- Post #2
- Forum: Advanced Physics Homework Help
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J
Graduate Second Order Differential equation Bessel-type
Thanks I will try with this "factorization" procedure.- Juan Carlos
- Post #5
- Forum: Differential Equations
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J
Graduate Second Order Differential equation Bessel-type
Variation of parameters! I'll give it a try! Thanks- Juan Carlos
- Post #4
- Forum: Differential Equations
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J
Graduate Second Order Differential equation Bessel-type
Hello! Im trying to solve this second order differential equation: \begin{equation*} -\dfrac{d^2y}{dx^2}+\dfrac{3}{x}\dfrac{dy}{dx}+(x^2+gx^4+2)y=0 \end{equation*} Any idea? Maybe it could be converted to a Bessel-like equation (?) with an appropriate change of variables. The equation...- Juan Carlos
- Thread
- Differential Differential equation Second order
- Replies: 5
- Forum: Differential Equations
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J
Classical Mechanics: Lagrangian for pendulum with oscillating support
for sure, there is a total derivated connecting both.- Juan Carlos
- Post #2
- Forum: Advanced Physics Homework Help
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J
Graduate Gauge Freedom Quantum Electrodynamics
and the reason is? I repeat, equations of motion don't change.- Juan Carlos
- Post #10
- Forum: Quantum Physics
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J
Graduate Gauge Freedom Quantum Electrodynamics
I get your point, is the usual treatment for one particle. But what I'm saying is related to the two particle system, where the question is: Is it correct use two different gauges, one for each particle? Thank you- Juan Carlos
- Post #8
- Forum: Quantum Physics
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J
Graduate Gauge Freedom Quantum Electrodynamics
For Example: Let's suppose we have the magnetic field in the z direction, for example two Landau's gauges: \vec{A_{1}}=B(-y,0,0) and \vec{A_{2}}=B(0,x,0) where both satisfy \vec{B}=B\vec{k} . So in particular I could say that my Hamiltonian for the two particle system is...- Juan Carlos
- Post #7
- Forum: Quantum Physics
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J
Graduate Gauge Freedom Quantum Electrodynamics
It's the standard construction. It's the standard construction.- Juan Carlos
- Post #6
- Forum: Quantum Physics
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J
Graduate Gauge Transformation Quantum Electrodynamics
It's well known when if we are working on problems related to particles in presence of an electromanetic field, the way we state the problem can be done using the next Hamiltonian: H=\dfrac{(p-\frac{e}{c}A)^2}{2m} +e \phi where the only condition for A is: \vec{\nabla } \times \vec{A} =\vec{B}...- Juan Carlos
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- Electrodynamics Gauge Gauge transformation Quantum Quantum electrodynamics Transformation
- Replies: 1
- Forum: Quantum Physics
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J
Graduate Gauge Freedom Quantum Electrodynamics
It's well known when if we are working on problems related to particles in presence of an electromanetic field, the way we state the problem can be done using the next Hamiltonian: H=\dfrac{(p-\frac{e}{c}A)^2}{2m} +e \phi where the only condition for A is: \vec{\nabla } \times \vec{A} =\vec{B}...- Juan Carlos
- Thread
- Electrodynamics Gauge Quantum Quantum electrodynamics
- Replies: 8
- Forum: Quantum Physics
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J
How to Determine the Hamiltonian for a Two-Level System with Tunneling?
Hi! I'm having problems with this simple problem: Consider two level system: a box containing one particle, the box is divided by a thin membrane. Let Ψ1 and Ψ2 the probability amplitude (time-dependent only) of being on the left and right side. The particle can tunnel through the partition: so...- Juan Carlos
- Post #2
- Forum: Advanced Physics Homework Help
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J
How to Determine the Hamiltonian for a Two-Level System with Tunneling?
Hi! I'm having problems with this simple problem: Consider two level system: a box divided by a thin membrane. Let- Juan Carlos
- Thread
- System
- Replies: 1
- Forum: Advanced Physics Homework Help
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J
Can a Unitary Operator Be Expressed in Exponential Form?
I agree. And I used those properties. Thanks- Juan Carlos
- Post #5
- Forum: Advanced Physics Homework Help