S-matrix

quantum mechanics
verifiedCite
While every effort has been made to follow citation style rules, there may be some discrepancies. Please refer to the appropriate style manual or other sources if you have any questions.
Select Citation Style
Share
Share to social media
URL
https://www.britannica.com/science/S-matrix
Feedback
Corrections? Updates? Omissions? Let us know if you have suggestions to improve this article (requires login).
Thank you for your feedback

Our editors will review what you’ve submitted and determine whether to revise the article.

Print
verifiedCite
While every effort has been made to follow citation style rules, there may be some discrepancies. Please refer to the appropriate style manual or other sources if you have any questions.
Select Citation Style
Share
Share to social media
URL
https://www.britannica.com/science/S-matrix
Feedback
Corrections? Updates? Omissions? Let us know if you have suggestions to improve this article (requires login).
Thank you for your feedback

Our editors will review what you’ve submitted and determine whether to revise the article.

Also known as: scattering matrix
Also called:
scattering matrix

S-matrix, in quantum mechanics, array of mathematical quantities that predicts the probabilities of all possible outcomes of a given experimental situation. For instance, two particles in collision may alter in speed and direction or even change into entirely new particles: the S-matrix for the collision gives the likelihood of each possibility. Complete knowledge of the S-matrix for all processes would amount to complete understanding of all physical laws.

An S-matrix is expressed in terms of observable quantities, and its application circumvents the discussion, common in modern physics, of the unobservable phenomena that are supposed to occur in the mysterious interval between the time that free particles enter their region of interaction and the time that they emerge. In its pure form, the mathematical pursuit of S-matrix theory has produced important results, but the method is so general that it must be augmented by a great amount of additional physics to deal with the details of experimental fact.

This article was most recently revised and updated by William L. Hosch.