Recent content by charlesmartin14
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How to compute the surface an N-sphere using delta functions
No I was thinking more to use a relation like $$\delta[g(x)]=\dfrac{\delta(x-x_{0})}{|g'(x)|_{x=x_{0}}}$$ or maybe the simpler relation $$\delta[(x^{2}-a^{2})]=\dfrac{1}{2|a|}[\delta(x+a)+\delta(x-a)]$$ so that we can reduce...- charlesmartin14
- Post #4
- Forum: Advanced Physics Homework Help
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How to compute the surface an N-sphere using delta functions
∫dJδ(J2-N)≈exp(N/2(1+ln2π)) The area of an N-sphere goes like 2πN/2 so I know this is close but I am haven't remembered the trick yet how to get the exact result- charlesmartin14
- Post #2
- Forum: Advanced Physics Homework Help
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How to compute the surface an N-sphere using delta functions
Problem Statement: I am trying to understand how to compute the surface an N-sphere , for large N, to leading order (and exactly) Given a vector J with norm N, with N large, how does one compute the volume integral ? That is, what representation of the delta function. And what is the exact...- charlesmartin14
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- Delta Functions Surface
- Replies: 3
- Forum: Advanced Physics Homework Help
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Graduate What Other Phenomena Involve Nuclear Excitations Coupling with Lattice Phonons?
Mossbauer spectroscopy is an example of a nuclear (de)excitation coupling to a lattice phonons Are there any other examples of this phenomena ?- charlesmartin14
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- Coupling Lattice Nuclear Phonon
- Replies: 1
- Forum: Atomic and Condensed Matter
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High School In Fermi V-A theory, where does the Weak Interaction occur
Whatever the experimentalists tell me their best estimate it. The nuclear radius can be estimated using a simple formula R\sim A^{\frac{1}{3}} where A is the Atomic mass number. I am asking how the Fermi VA theory is typically used in very detailed calculations.- charlesmartin14
- Post #5
- Forum: High Energy, Nuclear, Particle Physics
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High School In Fermi V-A theory, where does the Weak Interaction occur
The Lagrangian contains a 'contact potential' , which Fermi assumed is a contact coupling of two vector currents. (prior to when parity breaking was discovered. This is now part of the Standard Model, in some cryptic form. IMHO, you can not see it obviously in the Lagrangian until you specify...- charlesmartin14
- Post #3
- Forum: High Energy, Nuclear, Particle Physics
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High School In Fermi V-A theory, where does the Weak Interaction occur
Where is the electron-nucleon interaction? On the surface of the nucleus, or at the origin (R-0) ?- charlesmartin14
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- Fermi Interaction Theory Weak Weak interaction
- Replies: 6
- Forum: High Energy, Nuclear, Particle Physics
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Undergrad Do Fermi and Gamow-Teller transitions only refer to isospin
Do Fermi and Gamow-Teller transitions only refer to changes in isospin , as in beta decay and orbital electron capture- charlesmartin14
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- Beta decay Electron capture Fermi Isospin
- Replies: 1
- Forum: High Energy, Nuclear, Particle Physics
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Graduate Is beta decay a weak charge-current processes?
Im try to understand this paper http://citeseerx.ist.psu.edu/vie... and see if I correctly understand which processes are charge-current processes, and which are charge neutral, as listed in Figure 1. Thanks- charlesmartin14
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- Beta Beta decay Decay Weak Weak interaction
- Replies: 4
- Forum: High Energy, Nuclear, Particle Physics
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Help with derivation of two-body relativistic cross section
Thanks ! That makes perfect sense. this is a great forum- charlesmartin14
- Post #6
- Forum: Advanced Physics Homework Help
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Help with derivation of two-body relativistic cross section
I am trying to derive the 2+2 body relativisitic cross section, as given in https://web2.ph.utexas.edu/~schwitte/PHY362L/QMnote.pdf a+b -> c+d I want the form of the cross section dσ/dΩ ~ 1/((v_i)(v_f)) I am stuck on step (13)-(14) and I don't understand why d√s/dp_f=v_f Here, s is the...- charlesmartin14
- Post #3
- Forum: Advanced Physics Homework Help
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Help with derivation of two-body relativistic cross section
Homework Statement I am trying to derive the 2 body cross section, as given in https://web2.ph.utexas.edu/~schwitte/PHY362L/QMnote.pdf dσ/dΩ Homework Equations I am stuck on d√s/dp=v where √s=(Ea+Eb)=E The Attempt at a Solution p=Ev (relativisitic energy-momentum relationship) √s=E...- charlesmartin14
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- Cross Cross section Derivation Relativistic Section
- Replies: 5
- Forum: Advanced Physics Homework Help
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What is Relativistic Theory and Why is it Important for Scientists?
I have a PhD in Theoretical chemistry and did my postdoctoral work in the Theoretical Bio/Physics group. I am finally getting around to learning some relativisitic theory.- charlesmartin14
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- Replies: 1
- Forum: New Member Introductions