Recent content by danny271828

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    Solving Cross Product w/ Determinants: Setting Up Equations

    well that's kind of what I'm asking... is there a way to arrive at that determinant form without knowing a x b equals |a||b|sin(theta)? So we want to construct a vector that is perpendicular to 2 vectors in a plane and has a magnitude that somehow expresses the amount of rotation.
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    What is the mathematical logic behind scalar and cross product definitions?

    the dot product allows you to multiply a vector A with the component of another vector B that lies along A. For instance in order to find the quantity work which is force times distance, we multiply the component of force applied in the direction of the displacement with the displacement. We...
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    Solving Cross Product w/ Determinants: Setting Up Equations

    I guess another way of what I am asking is - is there any way to arrive at the component form of the cross product without knowing it is equal to absin(theta)?
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    Solving Cross Product w/ Determinants: Setting Up Equations

    I'm having trouble relating the cross product form |a||b|sin(theta) to its component form (a1b2 - a2b1) ... and so on... I know how to do this mathematically so please don't just suggest some proof that I can find in every textbook... The component form involves the solutions to equations...
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    Hermitian Conjugate of an Operator

    Homework Statement a = x + \frac{d}{dx} Construct the Hermitian conjugate of a. Is a Hermitian? 2. The attempt at a solution <\phi|(x+\frac{d}{dx})\Psi> \int\phi^{*}(x\Psi)dx + <-\frac{d}{dx}\phi|\Psi> I figured out the second term already but need help with first term... am...
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    Solving Differential Equations: Getting Started with Initial Conditions

    I need to solve the equation \frac{d^{2}}{dx^{2}}\Psi + \frac{2}{x}\frac{d}{dx}\Psi = \lambda\Psi Can anyone help me get a start on this problem? I've been guessing at a few solutions with no results... I'm not asking anyone to solve the problem... just a few hints on starting... maybe...
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    Second Order Differential Equation

    I need to solve the equation \frac{d^{2}}{dx^{2}}\Psi + \frac{2}{x}\frac{d}{dx}\Psi = \lambda\Psi Can anyone help me get a start on this problem? I've been guessing at a few solutions with no results... I'm not asking anyone to solve the problem... just a few hints on starting... maybe...
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    QM - Eigenfunction / Eigenvalue Problem

    Thanks Eugene... Sorry about that... Kind of new to this... I havn't seen a way to delete your own posts... but there probably is one...
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    QM - Eigenfunction / Eigenvalue Problem

    Homework Statement Find the eigenfunctions and eigenvalues for the operator: a = x + \frac{d}{dx} 2. The attempt at a solution a = x + \frac{d}{dx} a\Psi = \lambda\Psi x\Psi + \frac{d\Psi}{dx} = \lambda\Psi x + \frac{1}{\Psi} \frac{d\Psi}{dx} = \lambda x + \frac{d}{dx}...
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    Classical Physics - Pulley Problem

    Yeh i should have stepped away from it for a while... after 3 hours or staring my brain went numb... thanks again man...
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    Classical Physics - Pulley Problem

    Thank you much for your infinite patience... I appreciate it :D
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    Classical Physics - Pulley Problem

    just been staring at this problem way too long...
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    Classical Physics - Pulley Problem

    you still there? i don't really feel like I am getting anywhere... in fact i think I've been here before heh..
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