Hamiltonian operator

Term · Chemistry · MLC-T-CHM-005086

A quantum mechanical operator that corresponds to the total energy of a system, including both kinetic and potential energy. When this operator acts on the wavefunction of a system, the resulting eigenvalue is the system's total energy. The time-independent Schrödinger equation is an eigenvalue equation for the Hamiltonian operator, expressed as Ĥψ = Eψ.

Table 1. Record
Identifier	MLC-T-CHM-005086
Field	Chemistry
Subject	Physical and Biophysical Chemistry
References	Green Book, 2nd ed., p. 16 (https://goldbook.iupac.org/files/pdf/green_book_2ed.pdf)

Record as JSON

{
  "id": "MLC-T-CHM-005086",
  "term": "Hamiltonian operator",
  "field": "Chemistry",
  "definition": "A quantum mechanical operator that corresponds to the total energy of a system, including both kinetic and potential energy. When this operator acts on the wavefunction of a system, the resulting eigenvalue is the system's total energy. The time-independent Schrödinger equation is an eigenvalue equation for the Hamiltonian operator, expressed as Ĥψ = Eψ.",
  "subject": "Physical and Biophysical Chemistry",
  "references": [
    "Green Book, 2nd ed., p. 16 (https://goldbook.iupac.org/files/pdf/green_book_2ed.pdf)"
  ],
  "url": "https://mlchart.com/terminology/chemistry/hamiltonian-operator/"
}

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