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Quantum Theology2

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QUANTUM THEOLOGY : M. M. NINAN<br />

2.9 Operators and <strong>Quantum</strong> Mechanics<br />

In quantum mechanics, physical observables (e.g., energy,<br />

momentum, position, etc.) are represented mathematically by<br />

operators. For instance, the operator corresponding to energy is<br />

the Hamiltonian operator<br />

Where i is an index over all the particles of the system.<br />

Later Dirac (1902-1984) developed the Matrix<br />

method and is known as Dirac Bracket formalism.<br />

matrix equation<br />

In this mechanism the operators are replaced by<br />

matrices and the wave equation then reduce to a<br />

2.10 <strong>Quantum</strong> Wave Functions and State Vectors<br />

While operators represent the observables, the operand – the<br />

function on which the operators act is known as the wavefunction<br />

, which is a function of the position for stationary solutions.<br />

Postulates of <strong>Quantum</strong> Mechanics were developed later as<br />

below:<br />

Postulate 1. The state of a quantum mechanical system is<br />

completely specified by a function<br />

that depends on the<br />

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