Recent content by troglodyte

  1. troglodyte

    I Struggling with one step to show quantum operator equality

    Thank you for your reply. I thought I wouldn't get any reply so I have deleted them to reduce server costs.
  2. troglodyte

    I Rotation and Boost of Tensor Components: Meaning?

    Sorry,than i have misinterpreted your question a bit.
  3. troglodyte

    I Rotation and Boost of Tensor Components: Meaning?

    A tensor could be also a vector.One call it a one tensor.A rotation is only a mathematical construction.Of course, a boost is also a rotation but with a physical meaning involved .Here you make a rotation in a Lorentz invariant manner.So the (relativistic)physics holds under this specific...
  4. troglodyte

    I Directional Derivatives of a vector ----gradient of f(P)----

    I am glad that this Suggestion could help you🙂
  5. troglodyte

    I Directional Derivatives of a vector ----gradient of f(P)----

    Maybe you can also try Hubbard ,Vector Calculus,lineare Algebra and differential forms.It is didactically one of the best books on this level. Here is nice picture to the Lemma:
  6. troglodyte

    B A covariant vs contravariant vector?

    Not in all cases.In the language of mathematical physics one argue in strict mathematical language.Some theoretical physics profs prefer this language to describe physics.For example the canonical quantization for Boson particles without gauge potentials uses this formalism.I have actually one...
  7. troglodyte

    I Parallel transport vs Lie dragging along a Killing vector field

    Do we talk about closed curves?Because A curve is the image of a continuous function from an interval to a topological space(Wikipedia ).Doesn't this mean a curve implies per definition open neighbourhoods?
  8. troglodyte

    I Struggling with one step to show quantum operator equality

    Hello guys, I struggle with one step in a calculation to show a quantum operator equality .It would be nice to get some help from you.The problematic step is red marked.I make a photo of my whiteboard activities.The main problem is the step where two infinite sums pops although I work...
  9. troglodyte

    A general potential energy for a multi-particle system

    I would say no because of this pairwise description which you have stated above.Maybe some combinatorial arguments are missing to expand the concept to include also such cases.
  10. troglodyte

    I Total energy of an isolated system

    If your energy is conserved which means there exist no perturbation from outside the energy environment then you have T+V=E=constant or equivalent dE\dt=0 .So,you have an fixed Energy value which will transform from the kinetic/-to potential energy and vice versa.Therefore both types of...
  11. troglodyte

    Announcement Easy ways you can support Physics Forums

    I posted it directly in my description where everyone can see it.
  12. troglodyte

    A Off-diagonal elements in a density matrix

    Sorry,but I don't understand your question not good enough to give you an answer.Try to make your question a little bit more concrete.Maybe you should post the reference where question is related to.
  13. troglodyte

    Announcement Easy ways you can support Physics Forums

    Wasn't this link to my reddit profile not enough which I had posted yesterday ?Maybe you You can give me some straight instructions what you are concretely mean by this. Thank you and best regards
  14. troglodyte

    Announcement Easy ways you can support Physics Forums

    Pls,correct me but it should be the following one: https://www.reddit.com/user/Plancktonian/ Or should I add it to my profile here?
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