I Can subspaces be used to determine probabilities in quantum mechanics?

  • I
  • Thread starter Thread starter friend
  • Start date Start date
  • Tags Tags
    Qm Subspaces
friend
Messages
1,448
Reaction score
9
Suppose we have an observable with a certain number of eigenstates. We would normalize all these possibilities to 1 in order to give each eigenstate an appropriate probability of being measured. Can we then only consider the data of many measurements for only a subset of those eigenstates and normalize that subset to 1 and get different probabilities for considering only that subset of alternatives? Is that subset called a subspace of the original Hilbert space? And can this be done for any arbitrary subset of the original eigenstates?
 
Last edited:
Physics news on Phys.org

Thread 'Schrödinger equation and classical wave equation'

Not an expert in QM. AFAIK, Schrödinger's equation is quite different from the classical wave equation. The former is an equation for the dynamics of the state of a (quantum?) system, the latter is an equation for the dynamics of a (classical) degree of freedom. As a matter of fact, Schrödinger's equation is first order in time derivatives, while the classical wave equation is second order. But, AFAIK, Schrödinger's equation is a wave equation; only its interpretation makes it non-classical...
View full post »

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 'Is Maxwell's electromagnetism an effective (field) theory?'

Is it possible, and fruitful, to use certain conceptual and technical tools from effective field theory (coarse-graining/integrating-out, power-counting, matching, RG) to think about the relationship between the fundamental (quantum) and the emergent (classical), both to account for the quasi-autonomy of the classical level and to quantify residual quantum corrections? By “emergent,” I mean the following: after integrating out fast/irrelevant quantum degrees of freedom (high-energy modes...
View full post »

Similar threads

A Does the quantum space of states have countable or uncountable basis?
2
Replies
67
Views
7K
I Measurements and uncertainty principle
Replies
12
Views
2K
B Can Everett Branches Break Quantum Laws?
Replies
17
Views
2K
I Vector subspace and basis vectors in the context of data science
Replies
6
Views
3K
I Tensor products and simultaneous eigenstates
Replies
1
Views
585
I On a constructive method of quantum state preparation (Ballentine)
Replies
2
Views
1K
I Physical interpretation of phase in solutions to Schrodinger's Eqn?
Replies
12
Views
4K
I Significance of the Exchange Operator commuting with the Hamiltonian
Replies
9
Views
2K
I Role of determinate states in quantum mechanics
Replies
2
Views
3K
I Why observables are represented as operators in QM?
Replies
4
Views
3K

Hot Threads

Recent Insights

Back
Top