psi function
The term "psi function" has multiple meanings in mathematics and physics, often denoted by the Greek letter Ο, and is used in various specialized contexts.
πΊπΈ US Voice:
π¬π§ UK Voice:
Definition
C2Quantum Mechanics
(technical, academic)A mathematical description of the quantum state of a system, used to calculate the probabilities of different outcomes in measurements.
Example
- The psi function is essential for determining the probability density of a particle's position.
C1Special Functions
(technical, academic)The logarithmic derivative of the gamma function, used in calculus and complex analysis.
Example
- The digamma function, or psi function, appears frequently in advanced mathematical problems.
C2Number Theory
(technical, academic)A summatory function related to the distribution of prime numbers.
Example
- The Chebyshev psi function helps in the study of prime number distribution.