What Does It Mean When an Operator Has Two Normalized Eigenstates?

Slepton
Messages
20
Reaction score
0
I am confused about operators and eigenstates. What does "an operator has two normalized eigenstates" mean ? Is there a way I can make a physical interpretation ? How are measurements made with these ?
 
Physics news on Phys.org
Keep reading and learning: these question are answered.
 
Slepton said:
What does "an operator has two normalized eigenstates" mean ? Is there a way I can make a physical interpretation ?
It means that when you make the measurement corresponding to the operator you will measure one of two values.
 

Thread 'Quantum Entanglement is a Kinematic Fact, not a Dynamical Effect'

Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. Towards the end of the first lecture for the Qiskit Global Summer School 2025, Foundations of Quantum Mechanics, Olivia Lanes (Global Lead, Content and Education IBM) stated... Source: https://www.physicsforums.com/insights/quantum-entanglement-is-a-kinematic-fact-not-a-dynamical-effect/ by @RUTA
View full post »

Thread 'Quantum behaviour of an electron around a positively charged sphere'

If we release an electron around a positively charged sphere, the initial state of electron is a linear combination of Hydrogen-like states. According to quantum mechanics, evolution of time would not change this initial state because the potential is time independent. However, classically we expect the electron to collide with the sphere. So, it seems that the quantum and classics predict different behaviours!
View full post »

Similar threads

I Eigenstates of particle with 1/2 spin (qbit)
Replies
24
Views
2K
I Measurements and uncertainty principle
Replies
12
Views
2K
I Tensor products and simultaneous eigenstates
Replies
1
Views
512
I Why is this 3D operator with degeneracies only giving me 2 eigenstates
Replies
2
Views
992
I Eigenstate of two observable operators
Replies
5
Views
2K
A Simultanious eigenstate of Hubbard Hamiltonian and Spin operator in tw
Replies
2
Views
2K
I What is the physical interpretation of eigenstates in quantum mechanics?
Replies
5
Views
2K
I The Wavefunction and eigenstates
Replies
13
Views
3K
I How are good quantum numbers related to perturbation theory?
Replies
18
Views
3K
I If operators commute then eigenstates are shared
Replies
14
Views
4K

Hot Threads

Recent Insights

Back
Top