Undergrad What is an observable exactly?

  • Thread starter Thread starter dsaun777
  • Start date Start date
  • Tags Tags
    Observable
Click For Summary
SUMMARY

An observable in quantum mechanics is defined as a Hermitian operator within a specific Hilbert space. This concept is crucial for understanding quantum measurements, which are facilitated by various types of equipment, including photodetectors, magnets, polarizers, and waveplates. The discussion highlights the ongoing debate regarding the wave function collapse, with differing interpretations of quantum mechanics influencing perspectives on this phenomenon. The equipment used for quantum measurements varies based on the specific particles or phenomena being studied.

PREREQUISITES
  • Understanding of Hermitian operators in quantum mechanics
  • Familiarity with Hilbert spaces
  • Knowledge of quantum measurement techniques
  • Basic concepts of wave function collapse
NEXT STEPS
  • Research the role of photodetectors in quantum measurements
  • Explore different interpretations of quantum mechanics regarding wave function collapse
  • Study the applications of magnets and polarizers in quantum experiments
  • Learn about advanced quantum measurement techniques and their implications
USEFUL FOR

Students and professionals in physics, particularly those interested in quantum mechanics, measurement theory, and the technological applications of quantum measurement equipment.

dsaun777
Messages
296
Reaction score
39
What is an observable exactly? I hear terms that are used in physics books like an observable or a detection. What types of equipment do physicists use to make all these quantum measurements that are used in books so frequently? How small of a region of space does the wave function "collapse" into when measuring particles?
 
Physics news on Phys.org
dsaun777 said:
How small of a region of space does the wave function "collapse" into when measuring particles?
Whether wave function collapse happens at all is an open question (different interpretations of quantum mechanics say different things on this topic).
 
dsaun777 said:
What types of equipment do physicists use to make all these quantum measurements that are used in books so frequently?
One example of equipment is photodetectors. But there are other types of equipment used, depending on what is studied. Examples of additional equipment: magnets, polarizers, waveplates etc.
 
Technically, an observable is just a Hermitian operator on whatever Hilbert space you're working in.
 
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?

Similar threads

  • · Replies 3 ·
Replies
3
Views
4K
  • · Replies 2 ·
Replies
2
Views
1K
  • · Replies 11 ·
Replies
11
Views
2K
  • · Replies 4 ·
Replies
4
Views
3K
  • · Replies 5 ·
Replies
5
Views
1K
  • · Replies 7 ·
Replies
7
Views
1K
Replies
18
Views
2K
  • · Replies 14 ·
Replies
14
Views
4K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 5 ·
Replies
5
Views
1K