Interpretation Definition and 803 Threads

Bohr believed that the observer effected the outcome of an experiment at the subatomic level, and it wasn't necessarily the photons used to measure the particle like in Hesienberg's Uncertainty Principle that effected the outcome. What was the basis of this idea if the only way to measure...

In the SVD, we use the eigenvectors of AA^T and A^T A as the input and output bases for the matrix. Does anyone have any intuition about these matrices? ie. if I multiply a vector x by AA^T, what space (in terms of the column space, etc. of A) will it bring x to? Thanks, Dave

Ax = U \Sigma V^T x (A is an m by n matrix) I understand the first two steps, 1) V^T takes x and expresses it in a new basis in R^n (since x is already in R^n, this is simply a rotation) 2) \Sigma takes the result of (1) and stretches it The third step is where I'm a bit...

Hi, I am a computer science student in my final year, and preparing myself for my graduation project (GP). Please check this video: http://www.youtube.com/watch?v=d7eGypGOlOc" This program is from MIT and it is called "A Shrewd Sketch Interpretation and Simulation Tool". I am planning...

I know there are a lot of interpretation's but what is the one that mostly top's the chart's?

The Copenhagen interpretation, (the wavefunction collapse) is not what caught the interest and imagination of the scientific community. It was the Schrödinger's Cat. Is the cat alive or dead? “QGsquared” will not catch the imagination of the 10’s of thousands of interested people by saying...

Column Vectors? Alrighty. I have a silly question about column Vectors. I first learned about the concept of a vector in Physics, i.e. position, velocity, acceleration, etc. so I easily understand the premise of a row vector. For example the matrix \left[\begin{array}{ccc}1 & 2 &...

I'll reserve my opinion, but I'd appreciate yours.

Hello Everyone, This time I want to share with you my experience with the book the Interpretation of Quantum mechanics by Erwin Schrodinger. Just let me point out some of his most remarkable points in my humble opinion. In his first chapter, JULY 1952 COLLOQUIUM, he wrote: Let me say at...

[SOLVED] Interpretation of Trig Expression Homework Statement Question: Sin xy = y, find dy/dx. This was given as Homework. I did the question as Sin (xy) = y, whereas my teacher took the question as (Sin x)y = y and made a joke out of me in the class for thinking otherwise. All I want to know...

What proof is there that Born's probability interpretation of the QM wavefunction is correct? Born published two papers in 1926 that supposedly shed light on this subject. Does anyone know where I can find english translated versions of these works? Does anyone know of any accessible research...

First of all, I'm an electrical engineer, I had to take a class on modern physics, so answers don't need to be "dumbed down" so let me START with the question: Can anyone see a flaw in my logic/interpretation of what's happening? My goal is to gain a more accurate conceptual (not mathematical)...

Trying decide, apropos that famous Feynman quote, whether there is a 'real problem' with quantum physics. My own rather inexpert view is that if there is, the it's something to do with the classical limit. (The measurement problem being an interesting special case of this.) In particular...

Homework Statement Give an example of a function f for which the following assertion is false: If |f(x)-l|<\epsilon when 0<|x-a|<\delta, then |f(x)-l|<\epsilon/2, when 0<|x-a|<\delta/2 The Attempt at a Solution I am really not quite sure what I am looking for here. I think i want...

Homework Statement I'm not interested in the proof of this statement, just its geometric meaning (if it has one): Suppose T \in L(V) is self-adjoint, \lambda \in F, and \epsilon > 0. If there exists v \in V such that ||v|| = 1 and || Tv - \lambda v || < \epsilon, then T has an...

[SOLVED] Kernel &quot;stable under&quot;: is my interpretation correct? Homework Statement A[SIZE="1"]1, A[SIZE="1"]2, A[SIZE="1"]3,..., A[SIZE="1"]r are endomorphisms. W is the kernel of A[SIZE="1"]r - lambda*I, where lambda is the eigenvalue of A[SIZE="1"]r. W is stable under A[SIZE="1"]1...

This is an unusual book which uses the Scheme programming language to functionally describe the various components of classical mechanics. I would say it is at the level of a graduate mechanics course (think Goldstein), however students with a strong programming background will find it easier...

Could someone explain to me how the delayed choice experiment is described within the framework of the Copenhagen interpretation? (Double slit experiment with two slits open but a late decission to measure the path of the particle). I do not understand how the deterministic evolution of the...

Hi all, I have a little problem concerning the coupling of a fermion to CP^N (or better a 2D scalar O(3) model). Its not a mathematical type of problem. I just read on "The coupling of fermions to the three-dimensional noncommutative $CP^{N-1}$ model: minimal and supersymmetric extensions"...

Earlier today, I saw a show that had the smartest man in America with an IQ of 195 who is working on a Cognitive - Theoretic Model of the Universe. He attacks the MWI with: What do Many-Worlders think about a statement such as this coming from an intelligent person?

Just had four quick questions on the Copenhagen Interpretation (CI). 1. Where is the boundary between realm (classical) space and quantum space. I understand that there is no solid definition for this boundary, but where would we begin to see quantum events occur and see classical events...

What happens to the cat in the Bohm interpretation? If I've got it right: In MWI it splits, dead in one universe, alive in another. In CI it's not decided until observed. In TI both these absurd concepts are escaped and it's just either dead or alive(I cannot remember the details) but in...

Wow, I'm extremely frustrated with this one. Homework Statement http://img262.imageshack.us/img262/4616/probre1.jpg I forgot to label the axis's. The X is time and the Y is Velocity The Attempt at a Solution Iv done a few things on this one: First, I figured I would just count the area...

Can anybody please answer 3 questions realted to MWI: i)Suppose I measure anything, then I will also be divided into two different universes according to the no. of probable things. But I don't feel any change. I think everything is going continous. But if it really divides where does 'I' go. I...

I'm trying to understand Feynman diagrams interpretation in terms of virtual particles. What I still can't understand is how this interpretation is compatible with the fact that one should divide each diagram by its symmetry order. As far as I understand, diagram symmetry order means how many...

Just wondering what you guys think about the results of the double slit experiment...

I'm having a problem understanding solutions of differential equation in QM: \psi''(z)+\frac{p}{z}\psi(z)+k^2\psi(z)=0 (1) I usualy use Fourbenious method, and in this case I get a 3 coefficients recursion relation which is really messy. So I do it like this: for really large...

Does anyone know what the geometrical interpretation of a dot product in 3-D is? I am calculating the dot product between two vectors in 3d and need to use the |a||b|cos(theta) interpretation basically, but that is for 2d. Can I just tack on an additional cos(theta2)? Thanks a lot for your...

I am having some trouble with the interpretation of the following question (specifically, part (a)). Here is the question from the book. ---------------------------------------- Often, news stories that are reported as startling "one-in-a-million'' coincidences are actually, upon closer...

Hey everyone, I have been using COMSOL to study oxygen diffusion through a membrane coupled with a surface reaction at one end of the membrane. It is a 3D cylindrical model and when I want the data values for oxygen concentration at the reaction boundary, it gives me a list of garbled values...

First of all, I don't really know much of physics so it may very well be something silly and laughable... but I just find somewhat interesting, and from the layman's point of view at least, not worse than some ideas that I see from people from the field, such as the hypothesis of darwinian...

If two branches of the tree eventually came to be identical would they join or would they continue to exist as separate worlds? If they joined, observers in each would remember a different history. Any connection between this and relativity where people observe the same event happening in...

Hi guys, I need help on thermodynamics: 1. what is the physical interpretation of enthalpy and entropy? 2. in an open system, change in total energy = change in enthalpy? 3. every reversible process must be adiabatic? 4. what does clausius inequality means? 5. Q-W=U is for closed...

I found this in my notes, and I memorized it, but I have no idea why this is. Could anyone shed some light: Given: A mutation in A gives repressed reporter expression, while a mutation in B gives constitutive reporter expression. If: A double mutation in A and B gives repressed reporter...

From the wikipedia entry: "Suppose a particle (such as a photon) emitted from a source could interact with one of two detectors. According to TIQM, the source emits a usual (retarded) wave forward in time, the "offer wave", and when this wave reaches the detectors, each one replies with an...

I've stumbled upon what might be a geometrical interpretation of Taylor's series for sine and cosine. Instead of deriving the Taylor's series by summing infinite derivatives over factorials, I can derive the same approximation from purely geometrical constructs. I'm wondering if something...

Hi, Can we know the Copenhagen interpretation, a result of uncertainty principle? If you don't agree with that, mention your reasons to see taht will conclude a safe answer or not. Thanks. ------------------------ Formulate realities.

I recently heard about the "Transactional Interpretation", and comletely failed to understand it. I then looked it up on Wikipedia, and became even more confused. My main questions are: 1. I gathered that, after receiving a retarded wave, a detector will send out an advanced wave. What is...

Homework Statement This question arises from partial differential equations work, but concerns introductory-level physics. The interpretation is of solutions representing the displacement (a function, u(x, t), of position and time) of a vibrating bar, fixed but hinged at each end. My...

I would like to know if there is any geometric interpretation of the indefinite integral ? Or perheps to tell me what actually indefinite integral represents?? thnx in return

Why Bohmian interpretation? It's now one and half year after I took my first course on quantum mechanics, and I've already started liking it the way it is. I have trouble seeing any motivation for deterministic theory. Is there any reasons to study the Bohmian interpretation? (I haven't studied...

Can someone pleas explain to me the geometric interpretation of Torsion? Why it is true is more important. Lol i said manifolds instead of torsion!

Hi, I just had this argument with this person on another forum and the gist of it was that he was saying collapse is predictable to within a negligible precision if you average out the results a huge number of identical wave-particles that had already collapsed. My contention was that...

im a bit confused about which interpretation is experimentally favored,wave function collapse or the 'minimalist ensemble interpretation (ala L.E Ballentine' (as Doc Al wrote somewhere)?All the older literature talks about 'reduction of wave packet' but reading Ballentine has left me confused.

Let f and g be real differentiable functions. Let v be a vectorial function of a real variable t, such that: v(t) = ( f(t), g(t) ) I know that by definition v'(t) = ( f'(t), g'(t) ) In many books they give a geomtrical interpretation of this. They draw the curve (the values of f(t) in...

When we study physics at the faculty we are told that any non-sinusoidal wave can be regarded as a combination of sinusoidal waves of different frecuencies, with the ‘weight’ of the different frecuencies given by the Fourier transform. On the other hand, if we have an electromagnetic wave, we...

I thought Statistical Interpretation of quantum mechanics is a very good alternative besides the orthodox interpretation. But I just can't explain the particle-wave duality from the statistical point. How could the Statistical Interpretation explain the interference effects in the Quantum...

As more than 10 options are not allowed, I was forced to put some different (hopefully similar) interpretations together. After voting for the favored interpretation, you may also indicate what is your second best interpretation, what is the worst interpretation for you, or even make the whole...

I have showed that if the integrand f in the variational problem \delta (\int f dx ) = 0 does not depend explicitly on the independent variable x, i.e. satisfies f = f(y, \dot{y}), then the Euler equation can be integrated to \dot{y} \frac{\partial f}{\partial \dot{y}} - f = const. How can I...

I am a second year student in quantum mechanics. I heard in lecture that simultaneous diagonalization of matrices is important in quantum mechanics. I would like to know why is it significant when two matrices can be simultaneous diagonalized, and what is the geometric and physical...