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Results tagged with symmetry
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user 251599
Symmetries play a big role in modern physics and have been a source of powerful tools and techniques for understanding theories and their dynamics. We say that something is symmetric if there is some transformation we can perform on that object that leaves some property unchanged. The set of symmetry transformations of an object forms a group, and the name of this group is used as the name of the symmetry of the object.
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How are time translations understood in non-relativistic quantum mechanics?
This question is motivated by what I think is a misunderstanding I'm having in reading Fonda's Symmetry Principles in Quantum Physics. …
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Selection rules in Stark Effect using parity in particular
In the context of the Stark effect as analyzed by perturbation theory with an electric field in the z-direction, we have to examine the matrix element
$$\langle n',l',m'|z|n,l,m \rangle.$$
From angula …
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Is linearity sufficient to guarantee probabilities are invariant under change of reference f...
In his Symmetry Principles in Quantum Physics, Fonda seems to write (in a footnote at the bottom of page 13) that if a bijection $T$ on a vector space is linear or antilinear, then for any $\phi,\psi$ …
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Understanding time translations
I suppose this question ultimately boils down to: when we speak of a time translation (in nonrelativistic mechanics, so that the Galilean group is the apporpiate symmetry group under which the physics …
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Concern with Gregory's argument for particle-like mutual gravitation of two spheres
I am reading Chapter 3 of Gregory's Classical Mechanics wherein he gives, among other things, a fairly careful treatment of graviation by different extended mass distributions. Eventually, he comes to …
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The implications of symmetry + uniqueness in electromagnetism
Then I conclude that there must exist another solution obtained from my original solution via this symmetry: $E'(z) = -E(-z)$. … Where have I erred in "using symmetry"?
Edit: After HTNW, I think I follow. …
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Why is simultaneity a requirement for the distance function of Galilean space?
At the end of Chapter 2 of his Course in Mathematical Physics, Szekeres discusses the notion of a symmetry group. … The set of all transformations $g$ which leave $\mathcal{F}$ on $X$ invariant is called the symmetry group of that space. I will use the notation Sym$(X,\mathcal{F})$ for this group. …
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On state transformations and the requirement of space-time invariance in (non-relativistic) ...
I think I have a fundamental misunderstanding of what "invariant under certain space-time symmetry operations" ought to mean. …
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What is the symmetry group of a particle interacting with external fields?
I am following along with Ballentine's (in his Quantum Mechanics: A Modern Development) construction/identification of symmetry generators as operators representing the standard observables (observables …
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The use of unitary operators in translating between reference frames in quantum mechanics
In Chapter 2.6 of his Lectures on groups and vector spaces for physicists, Isham describes how different observers (different reference frames) must describe the same quantum system.
Consider two obse …
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