Recent content by paralleltransport

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    Why is engineering the toughest major (for me)?

    Regarding the material you showed: The first drawing just represent some basic thermodynamics, classic adiabatic and isothermal process and thermodynamic cycles. The mechanics of materials is standard moment calculations. At the level you are talking about, a lot of the problem solving is...
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    Science enthusiast wanting to accelerate my learning

    I did something similar when I was your age too. I just allocated extra time on the weekend to work on more advanced materials. One important thing that I realized however is it's not the quantity of material you absorb that matters but the quality of understanding. At your age, building...
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    Why is engineering the toughest major (for me)?

    You seem to require some learning skills. The way to learn math and physics usually is to work it out yourself. Passive learning as in just reading the material will not work. You have to actively ingest it and try to apply it on (many) problems. I usually do it in a few steps: 1. If it's...
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    Approaches for teaching Modern Physics in Grade School and University

    The way I think about it, the way we teach physics is just tied to the way the math curriculum is taught. If the main goal is to teach problem solving skills, then one should pick the most elegant formulation of the theory using available math that is taught in that grade, to teach as a vehicle...
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    Approaches for teaching Modern Physics in Grade School and University

    I think @vanhees71 hits on the point. The physics education has 2 parts, one is general knowledge (cultural) one would say where knowing what topics are "out there" enriches you culturally. Teaching that people think about black holes, schrodinger cats etc... in that context to inspire young...
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    A Lehmann Kallen and spectral representation

    Hello, My question pertains to the formula below: In particular, I would like to ask about the spectral density function shown below: What does the spectral function physically represent? Is there any interpretation of its meaning, whether it has a relation to the physical spectrum of the...
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    A Order parameter, symmetry breaking Landau style

    Hi: I agree that topological phase transitions do not fall under the category of symmetry breaking phase transition. I was just confused because I have seen Chern Numbers described as order parameters in various seminars in HEP, hence the confusion. Thank you for clarifying that order...
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    Prob/Stats Books on Combinatorics, Permutations and Probability

    You may want to follow the online lectures here: https://ocw.mit.edu/courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/. If it's still too hard, you may need to review high school algebra. Lecture 1 of this covers probability and axioms...
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    A Bubble nucleation and metastable vacuum

    Very cool! I think i understand now, thanks to you guys. The bubble in the quantum field theory case has a surface tension that is due to the domain wall (analog to surface tension of a 2-phase interface) while its volume is energy favored. A bubble above a certain critical value will be...
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    A Bubble nucleation and metastable vacuum

    Consider the decay in a quantum field theory from a metastable vacuum to the "true" vacuum. Here's i my understanding: 1. For a scalar field potential U(\phi), the transition amplitude is finite per unit volume for a finite energy splitting between the 2 classical minima of the potential...
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    A Metastable vacuum and tunneling

    Hi all, I'm currently reading about instantons and theta vacua (section 93, p 572 of http://web.physics.ucsb.edu/~mark/ms-qft-DRAFT.pdf) Srednicki remarks in passing the following: What is a good way to "see" 93.5 is true? Is there a slightly simpler way than below which is my current...
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    Notation clarification: SU(N) group integration

    Hello, I would like help to clarify what det( {\delta \over \delta J}) W(J) (equation 15.79) actually means, and why it returns a number (and not a matrix). This comes from the following problem statement (Kaku, Quantum Field Theory, a Modern Introduction) Naively, one would define det...
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    A Clarifying Fradkin's Terminology on Quantum Numbers of Gauge Groups

    Hi, I'd like to clarify the following terminology (Fradkin, Quantum Field Theory an integrated approach) "carry the quantum numbers of the representation of the gauge group": Does the author basically mean that the wilson loop is a charged operator, in a sense that it transforms non-trivially...
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    Intro Physics Opinions on books for (self) studies in statistical physics

    I don't know what is considered "vestigial" or "fundamental". Here's how I was taught: At a elementary level, all the ensembles are just entropy maximized distributions for the microstates of the system, with different constraints. The reason why they all give the same answers in the large...
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