# Tagged Questions

To be used for linear algebra, and closely related disciplines such as tensor algebras and maybe clifford algebras.

50 views

### Please explain this project to me [closed]

I've been struggling with this project for a few months now and I frankly can't break out of my way of thinking. The questions I'm struggling with understanding are written down below. The questions ...
58 views

### Relation between coherent states [closed]

Suppose $\left|\alpha\right\rangle$ and $\left|-\alpha\right\rangle$ be two coherent states. Is there any relation between them or are they completely different coherent states?
143 views

### What is the difference between active and passive transformations in Quantum Mechanics?

I am trying to understand what each transformation means and what their differences are but many books that don't state which transformation they are referring to make it a bit confusing to understand ...
60 views

### Basis/Projection Notation Question Quantum Mechanics

Lets say you have a inner product between two state vectors with an operator in between A|X|B. I can write this as a summation over I and j as A|i i|X|j j|B (sorry for notation). But I don't ...
50 views

### Block Diagonal Matrix Shankar Quantum Page 45

On page 45 of Shankar's intro to qm (you can find a pdf of it online if you want) he says that a specific operator has a block diagonal form because when it operates on some element of an eigenspace ...
73 views

### Conservation of energy in the form of y=kx +b?

I am doing an experiment on method of mixtures and specific heat capacities. During my experiment I have to use the graph as a means of finding the SHC of the subject. So I did the experiment with ...
51 views

### Can a quantum mechanical system have more than one wave-function?

I was told that a quantum mechanical system is completely determined by its wave function. But superposition principle says that given two wave functions of some system, a linear combination of them ...
197 views

### Why do we use orthogonal axes?

I have been asked several times that “why do we use orthogonal axes in coordinate systems?” and I was always replying that “because of simplicity”. But, today morning, someone asked me that question ...
131 views

53 views

### Determine the point at which moment vector is zero on a 3D body

I have information about total force and moment on a body for three points, whose coordinates I know. From this information I would like to determine the point at which moment would be zero. ...
43 views

98 views

### Is there an online course in Mathematical Methods for Physics, Covering Matrices and Vector Analysis? [duplicate]

I am taking a course in Mathematical Methods for physicsPhysics (Junior Level). We are working from > Mathematical Methods for physicists, George B.Arfken . I just need online resources ...
128 views

### Prove that a translation operator times a reflection operator is unitary and Hermitian [closed]

I am trying to prove some properties of the product of the (unitary) translation operator $\hat{T}(a)\psi(x) = \psi(x-a)$ and the (Hermitian) reflection operator $\hat{R} \psi(x) = \psi(-x)$. In ...
107 views

### Griffiths use of a linear transformation on basis vectors. Need help with derivation

In Griffiths' intro to Quantum Mechanics 2nd edition, in the appendix A.3 which is a review on linear algebra and matrixes (on page 441), he states that a linear transformation on a set of basis ...
25 views

### LinAlg based physics textbooks [duplicate]

I'm in my second year studying physics, and ever since I took LinAlg, I've been noticing LinAlg-related concepts pop up all over the place, but it has never been presented directly as matrices, bases, ...
62 views

### What is The most detailed Mathematical Methods for physics book? [duplicate]

I am taking a course in Mathematical Physics Junior Level (Undergraduate). We are working from Arfken's "Mathematical Methods for physicists", but i am finding trouble with it specially in the ...
238 views

For small oscillations, my textbook equation for amplitude says: $(V-\omega^2T) \cdot a=0$ where $a$ is a column vector in which each component $a_i$ is related to $q_i$ as $q_i=a_i\cos(\omega t-\... 1answer 58 views ### Unitary Transfomation from One Basis to Another [closed] So we have two orthonormal linearly independent basis$\{ |\phi_1 \rangle, \dots, |\phi_n \rangle \}$and$\{ |\psi_1 \rangle, \dots, |\psi_n \rangle \}$. We can express the basis vectors of the ... 0answers 46 views ### Why can differentiating a function carry it out from Hilbert space? I was just doing a QM Griffiths Problem. I was able to get it correct, but I have a few questions. Let$f(x)=x^v$be defined on$[0,1]$where$v= 1/2$then$df/dx = \frac{x^{-1}}2\$ Then, we know ...
In general for two operators to be equal, all their (matrix) elements must be equal $$A = B \rightarrow \langle \phi_1|A| \phi_2\rangle=\langle \phi_1|B| \phi_2\rangle$$ However, I am asked to show ...