9 Matching Annotations
 Mar 2023

 Feb 2023

www.youtube.com www.youtube.com

 physics/mathematics  Classical Physics  Quantum Mechanics <br /> <br />  State Space  fields satisfying equations of laws<br> the state is given by a point in the space  vector in a complex vector space with a Hermitian inner product (wavefunctions) <br />  Observables  functions of fields<br> usually differential equations with realvalued solutions  selfadjoint linear operators on the state space<br> some confusion may result when operators don't commute; there are usually no simple (realvalued) numerical solutions 



Principle (Observables). States for which the value of an observable can becharacterized by a welldefined number are the states that are eigenvectors forthe corresponding selfadjoint operator. The value of the observable in such astate will be a real number, the eigenvalue of the operator.
What does he mean precisely by "principle"?

Axiom (Dynamics). There is a distinguished quantum observable, the Hamiltonian H. Time evolution of states ψ(t)〉 ∈ H is given by the Schr ̈odingerequationi~ ddt ψ(t)〉 = Hψ(t)〉 (1.1)

Axiom (Quantum observables). The observables of a quantum mechanical system are given by selfadjoint linear operators on H.

 Jan 2019

angular.io angular.io

function sequenceSubscriber(observer) { // synchronously deliver 1, 2, and 3, then complete observer.next(1); observer.next(2); observer.next(3); observer.complete(); // unsubscribe function doesn't need to do anything in this // because values are delivered synchronously return {unsubscribe() {}};} // Create a new Observable that will deliver the above sequenceconst sequence = new Observable(sequenceSubscriber);
key point as this is a 'classical' implementation of the Observable.

 Dec 2018

angular.io angular.io

As a publisher, you create an Observable instance that defines a subscriber function
this is how you create an observable others can observe and get updates from

 Oct 2018