Recent content by cristianbahena
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A change in the order of integration
- cristianbahena
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- Change Integration
- Replies: 4
- Forum: Calculus and Beyond Homework Help
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What is the proof for Bertrand's theorem in celestial mechanics?
- cristianbahena
- Thread
- Proof Theorem
- Replies: 1
- Forum: Advanced Physics Homework Help
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Looking for a Book on Relativistic Quantum Mechanics with One-Forms?
hi! Do you know about a good book that introduces relativistic quantum mechanics with one-forms (diferential forms) like the book a first course of general relativity of Schutz does?- cristianbahena
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- Book Gr Qm
- Replies: 5
- Forum: Science and Math Textbooks
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LaTeX Advantages and disadvantages of VIM-LaTeX
advantages and disadvantages of VIM-LaTeX?- cristianbahena
- Thread
- latex
- Replies: 2
- Forum: MATLAB, Maple, Mathematica, LaTeX
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High School The concept of a force lifting a weight and the work done
if I apply a force constant F=100N en ##y## direction to a body of mass 2kg, it is elevated 3m and I know that the force of gravity is in ##y## direction too. What is the work that I did? I think: ##W_{me}=(F_{me}-F_{g})\times 3## it is correct? and the work made by gravity is "0".- cristianbahena
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- Concept Force Gravity Lifting Weight Work Work done
- Replies: 30
- Forum: Mechanics
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Undergrad Gauss' Theorem -- Why two different notations are used?
Usually un physics triple or double integrals $$\int \int$$ $$\int \int \int$$ Are changed by only one simbol $$\int$$, so that is the same equation. The simbol $$\partial v$$ means that the integral Is computed on boundary superfice of $$v$$ or on boundary of $$v$$. $$\partial v=S$$- cristianbahena
- Post #5
- Forum: Calculus
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Undergrad How Does the Rotation Operator Affect Spin in Quantum Mechanics?
Good! Thanks- cristianbahena
- Post #11
- Forum: Quantum Physics
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Undergrad How Does the Rotation Operator Affect Spin in Quantum Mechanics?
i know that $$S_z |+ >= \frac{\hbar}{2} |+ >$$ also $$ D_z(\phi)= 1+i\frac{S_z}{\hbar}\phi$$ operator of infinitesimal rotations, if we apply this operator $$n$$ times: $$ (D_z(\phi))^n= (1+i\frac{S_z}{\hbar}\frac{\phi}{n})^n$$ in the limit $$ lim_{n\rightarrow \infty}(D_z(\phi))^n=...- cristianbahena
- Post #9
- Forum: Quantum Physics
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Undergrad How Does the Rotation Operator Affect Spin in Quantum Mechanics?
sorry! for compute: $$e^{\frac{iS_z\phi}{\hbar}}S_ x e^{\frac{-iS_z\phi}{\hbar}}$$ so, if we use $$S_x=(\frac{\hbar}{2})[(|+><-|)+(|-><+|)]$$ $$e^{\frac{iS_z\phi}{\hbar}}(\frac{\hbar}{2})[(|+><-|)+(|-><+|)] e^{\frac{-iS_z\phi}{\hbar}}$$ so, why that is equal to...- cristianbahena
- Post #7
- Forum: Quantum Physics
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Undergrad How Does the Rotation Operator Affect Spin in Quantum Mechanics?
thanks! now it is correct- cristianbahena
- Post #3
- Forum: Quantum Physics
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Undergrad How Does the Rotation Operator Affect Spin in Quantum Mechanics?
for compute: $$e^{\frac{iS_z\phi}{\hbar}}S_x e^{\frac{-iS_z\phi}{\hbar}}$$ so, if we use $$S_x=(\frac{\hbar}{2})[(|+><-|)+(|-><+|)]$$ $$e^{\frac{iS_z\phi}{\hbar}}(\frac{\hbar}{2})[(|+><-|)+(|-><+|)] e^{\frac{-iS_z\phi}{\hbar}}$$ so, why that is equal to...- cristianbahena
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- Operator Rotation Spin
- Replies: 10
- Forum: Quantum Physics
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Relativity What's the best book to learn general relativity?
What is the best book to learn general relativity for undergraduate and graduate students ? And why?- cristianbahena
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- Book General General relativity Relativity
- Replies: 6
- Forum: Science and Math Textbooks
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Graduate What are local and non-local operators in QM?
When F(r)= r One get: $${A \phi}(r)= r \phi{r}(r)$$ its a eigenvalue equation when $$f(r)= -i \hbar \partial_r$$ One get: $${A \phi}(r)= -i \hbar \partial_r \phi{r}(r)$$ it has no sense. is the why is local or no local am i right? Note: i´m using $$A\phi (r)= \int dr´\phi(r) \alpha(r-r´)...- cristianbahena
- Post #5
- Forum: Quantum Physics
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Graduate What are local and non-local operators in QM?
In Hartree-Fock method, I saw the Fock operator has two integrals: Coulomb integral and exchange integral. One can define two operator. "The exchange operator is no local operator" why? Whats de diference: local and no local operator? And why do the operators have singularities? thanks- cristianbahena
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- Local Operators Qm Quantum mechanics
- Replies: 5
- Forum: Quantum Physics
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Undergrad Why Does div[grad(1/r)] Equal -4πδ(r vec)?
I don't understand why grad(1/r)= (-1/r^2)ê_r. I know its derivate, but in cero the function is not definite and you can't find its derivative in cero.And, why div [grad(1/r)]=-4πδ(r vec) ?- cristianbahena
- Thread
- Calculus
- Replies: 2
- Forum: Calculus