After receiving his Bachelor of Surgery undergraduate degree from the City College of New York in 1952, he studied under Richard Feynman and John R. Pellam at California Institute of Technology where he received his Doctor of Philosophy in in 1961.
Thereafter he spent the following 31 years (1961 to 1992) as a faculty member in the department at University of California, Los Los Angeles
Doctor Chester is perhaps best known for his text book for student physicists called Primer of Quantum Mechanics which connects the mathematical machinery of quantum mechanics directly to its philosophical underpinnings. Among his more substantial contributions to the field, he predicted and demonstrated a Bernoulli Effect in the electron gas. He is known for playing with and challenging the formal constructs of the scientific publication.
One example of this can be found in An experiment regarding the wave function of superfluid helium.
A published technical description of an experiment to detect the diffraction, because of its order parameter wave function property, of bulk superfluid helium flow through a grating - written in rhymed verse. He showed that the notion of identity ( identification ) is connected to the concept of symmetry.
He established the connection via the mathematical apparatus of group theory, the abstract formulation of symmetry. He proposed that the following statement is a fundamental principle governing nature: "The effect on the environment of a population’s success is to alter that environment in a way that opposes the success." By showing how to formulate it quantitatively he enabled the principle to be tested empirically in the laboratory.
