Question

state trigonometic quantum equations (no spam)
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Answer 1

Explanation:

A complete set of invariants for three states in the quantum space of states Script P is obtained together with a complete set of relationships linking them. This is done in a way that preserves the self-duality of Script P and leads to a clear geometric description of invariants (distances, lateral phases; Hermitian angles, angular phases; and two purely triangular phases). Some of these invariants appear here for the first time. Symplectic area (and hence the triangle geometric phase) is proportional to a 'mixed phase excess', thus extending to Script P the relation 'area-angular excess' in the real sphere. The new triangle lateral phases provide a description, intrinsic to Script P, of relative phases in a superposition. This approach also provides closed expressions for the triangle holonomy associated with the usual Fubini–Study metric in Script P, as well as many other expressions for similar 'loop' operators along the triangle, including closed and exact expressions for the triangle Aharonov–Anandan geometric phase.

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Answer 2

Explanation:

Quantum is the Latin word for amount and, in modern understanding, means the smallest possible discrete unit of any physical property, such as energy or matter. ... Planck wrote a mathematical equation involving a figure to represent individual units of energy. He called the units quanta .

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