Title :
Doing quantum mechanics with control theory
Author :
Rosenbrock, H.H.
Author_Institution :
Linden, Ross-on-Wye, UK
fDate :
1/1/2000 12:00:00 AM
Abstract :
Bellman and Dreyfus (1964) showed how classical mechanics can be obtained from Hamilton´s principle by dynamic programming. If we add noise in a particular way, we obtain Schrodinger´s equation and many other results from the elementary theory of quantum mechanics. Some new results can also be obtained, and there are important consequences for the philosophy of science
Keywords :
Schrodinger equation; control theory; dynamic programming; philosophical aspects; quantum theory; control theory; philosophy; quantum mechanics; Control theory; Dynamic programming; Filling; Integral equations; Probability distribution; Quantum mechanics; Schrodinger equation; White noise; Writing;
Journal_Title :
Automatic Control, IEEE Transactions on
