- 29.6.23 17:02
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'Mathematical formalism refers to the mathematical language and notation used to describe and analyze physical and scientific phenomena. In physics, mathematical formalism involves using mathematical equations and models to describe and predict the behavior of physical systems.
In quantum mechanics, the mathematical formalism involves using complex numbers and linear operators to describe the state of a quantum system and the evolution of that state over time. The state of a quantum system is represented by a vector in a complex vector space, and the behavior of the system is described by the Schrödinger equation, which relates the time evolution of the state to the Hamiltonian operator that describes the energy of the system.
The mathematical formalism of quantum mechanics also includes the concept of observables, which are physical properties that can be measured and observed. Observables are represented by Hermitian operators, and their measurement is related to the eigenvalues of the operator.'