Classical Free Particle
The classical free particle is characterized simply by a fixed velocity v. The momentum is given by
and the kinetic energy (equal to total energy) by
where m is the mass of the particle and v is the vector velocity of the particle.
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“Et in Arcadia ego.
[I too am in Arcadia.]”
—Anonymous, Anonymous.
Tomb inscription, appearing in classical paintings by Guercino and Poussin, among others. The words probably mean that even the most ideal earthly lives are mortal. Arcadia, a mountainous region in the central Peloponnese, Greece, was the rustic abode of Pan, depicted in literature and art as a land of innocence and ease, and was the title of Sir Philip Sidney’s pastoral romance (1590)
“Opinions are not to be learned by rote, like the letters of an alphabet, or the words of a dictionary. They are conclusions to be formed, and formed by each individual in the sacred and free citadel of the mind, and there enshrined beyond the arm of law to reach, or force to shake; ay! and beyond the right of impertinent curiosity to violate, or presumptuous arrogance to threaten.”
—Frances Wright (1795–1852)
“Experience is never limited, and it is never complete; it is an immense sensibility, a kind of huge spider-web of the finest silken threads suspended in the chamber of consciousness, and catching every air-borne particle in its tissue.”
—Henry James (1843–1916)