Undergrad Dark Matter and quantum observable

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SUMMARY

This discussion addresses the confusion surrounding the concepts of Hilbert space bases and observables in the context of Dark Matter and quantum mechanics. The moderator emphasizes that the questions posed are vague and lack clarity, suggesting that the inquirer should first study fundamental quantum mechanics principles. The discussion highlights the importance of understanding basic quantum ingredients such as spin, momentum, energy, and position before delving into more complex topics like Dark Matter.

PREREQUISITES
  • Basic understanding of quantum mechanics principles
  • Familiarity with Hilbert space concepts
  • Knowledge of quantum observables such as spin and momentum
  • Understanding of Dark Matter in the context of quantum physics
NEXT STEPS
  • Study introductory quantum mechanics textbooks to grasp fundamental concepts
  • Research Hilbert space and its role in quantum mechanics
  • Explore the significance of quantum observables in physical theories
  • Investigate current research on Dark Matter and its quantum implications
USEFUL FOR

Students of quantum physics, researchers in theoretical physics, and anyone interested in the intersection of quantum mechanics and cosmology will benefit from this discussion.

new6ton
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Are there any research about Dark Matter missing some Hilbert space bases or observable?

Are bases or observables like spin, momentum, energy, position the basic quantum ingredients of any matter, what is the apriori explanation?
 
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new6ton said:
Are there any research about Dark Matter missing some Hilbert space bases or observable?

Are bases or observables like spin, momentum, energy, position the basic quantum ingredients of any matter, what is the apriori explanation?

First, these questions belong in the Quantum Physics forum, not the Cosmology forum, so I am moving this thread there for future reference.

Second, these questions are too vague and don't make enough sense to even answer. Because of that, I am closing this thread. You need to take some time to learn the basics of quantum mechanics from a textbook. It doesn't even make sense to ask about "missing some Hilbert space bases or observable".
 

Thread 'Two equivalent statements of time reversal symmetric Hamiltonian'

Time reversal invariant Hamiltonians must satisfy ##[H,\Theta]=0## where ##\Theta## is time reversal operator. However, in some texts (for example see Many-body Quantum Theory in Condensed Matter Physics an introduction, HENRIK BRUUS and KARSTEN FLENSBERG, Corrected version: 14 January 2016, section 7.1.4) the time reversal invariant condition is introduced as ##H=H^*##. How these two conditions are identical?
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