(Note: this is a collection of the meanings attributed to the cards by some occultists in the past centuries. It does not reflect my own study or opinion of the cards. It is only meant as a quick comparative reference as I develop my own take.)

Paul Foster Case (and Ann Davies)
Astrologically the Knight of Wands includes the time period from the third decanate of Scorpio through the second decanate of Sagittarius, November 12 to December 11, representing, as we have seen, the combined influences of the Moon in Scorpio and of Jupiter and Mars in Sagittarius. In Divination we find the more specific meanings of each Key, but always remember that as advanced B.O.T.A. members, treading the Path of Return, you must use this art with discretion. It is best not to give querents for your help too specific instruction. Try to act as an emissary for the Hierophant and give them the principles behind their problems as they are unveiled to you by the sequence of Keys. Leave it to those you are helping to apply universal principles to specific problems in their lives.
Well Dignified: an active, generous, impetuous, quickmoving man, younger than the King of Wands. He is secretive, probably interested in the occult, somewhat psychic and mysterious. He is friendly to the querent and may bring him news relating to his enterprises.
Ill Dignified: e vil-minded, false, cruel, bigoted, brutal young man (or situation), dangerous or unfriendly to the querent1 s affairs. This card
sometimes signifies departure or change of residence.
(From the Oracle of Tarot course)
A.E. Waite
He is shewn as if upon a journey, armed with a short wand, and although mailed is not on a warlike errand. He is passing mounds or pyramids. The motion of the horse is a key to the character of its rider, and suggests the precipitate mood, or things connected therewith. Divinatory Meanings: Departure, absence, flight, emigration. A dark young man, friendly. Change of residence. Reversed: Rupture, division, interruption, discord.
(From The Pictorial Key to the Tarot)

Aleister Crowley
(note that Crowley and the Golden Dawn made a mess with the knights and kings)
The Prince of Wands represents the airy part of Fire, with its faculty of expanding and volatilising. He rules from the 21st degree of Cancer to the 20th degree of Leo. He is a warrior in complete armour of scale mail, but his arms are bare on account of his vigour and activity. He wears a rayed crown surmounted by a lion’s head winged, and from this crown depends a curtain of flame. On his breast is the sigil of To Mega Therion. In his left hand he bears the Phoenix wand of the Second Adept in the Ritual of 5○=6□ of R.R. at A.C.), the wand of Power and Energy, while with his other arm he reins the lion which draws his chariot, the chariot which is fortified by a wheel radiating flame. He rides upon a sea of flames, both waved and salient.
The moral qualities appropriate to this figure are swiftness and strength. But he is sometimes inclined to act on impulse; sometimes easily led by external influences; sometimes, especially in trifles, a prey to indecision. He is often violent, especially in the expression of an opinion, but he does not necessarily hold the opinion about which he is so emphatic. He states a vigorous proposition for the sake of stating it. He is in fact very slow to make up his mind thoroughly on any subject, but always sees both sides of every question. He is essentially just, but always feels that justice is not to be attained in the intellectual world.
His character is intensely noble and generous. He may be an extravagant boaster, while slyly laughing both at the object of his boast and at himself for making it. He is romantic, especially in matters of history and tradition, to the point of folly, and may engineer “stunts” or play elaborate practical jokes. He might select some inoffensive nobody, and pursue him for years with every weapon of ridicule) as Swift tormented the unhappy Partridge, all without the least animus, ready to give the shirt off his back, should his victim be in need. His sense of humour is omnivorous, and may make him a mysterious figure, dreaded without reason by people who actually know nothing about him but his name-as a symbol of Terror.
This is due to the influence of the last decan of Cancer upon this card. One of his greatest faults is pride; meanness and pettiness of any kind he holds in infinite scorn. His courage is fanatically strong, and his endurance indefatigable. He is always fighting against odds, and always wins in the long-the very long-run. This is principally due to his enormous capacity for work, which he exercises for its own sake, “without lust of result”; perhaps his haughty contempt for the world at large-which however coexists with profound and ecstatic respect for “every man and every woman” as “a star”-is responsible for this.
When this card is badly dignified, the character degenerates. Each of the qualities mentioned above is found in its antithesis. There is great cruelty in him, partly sadistic and partly due to callousness arising from indifference-and, in a sense, laziness! So too he may be intolerant, prejudiced and idle-principally because it saves trouble. He may furthermore be an empty boaster and a great coward.
In the YI King, the airy part of Fire is represented by the 42nd Hexagram, Yi, which signifies addition, increase. Full of virtue, and confident therein, he contemplates work of stupendous scope, often with the idea expressed in line 5: “with sincere heart seeking to benefit all below”. In this he may achieve immense success. But this course is fraught with commensurate danger. “We see one to whose in crease none will contribute, while many will seek to assail him. He observes no regular rule in the ordering of his heart”. (line 6) This peril avoided, there come “parties adding to the store of its subject ten pairs of tortoise shells whose oracles cannot be opposed-Let the King employ them in presenting his offerings to God….” (line 2).
(From The Book of Thoth)
Note: Crowley clearly sees himself in this card, which is why he depicts the Prince as the adorable occult prankster he saw himself as.
Golden Dawn’s Book T
A KINGLY Figure with a golden, winged crown, seated on a chariot. He has large white wings. One wheel of his chariot is shewn. He wears corslet and buskins of scale armour decorated with a winged lion’s head, which symbol also surmounts his crown. His chariot is drawn by a lion. His arms are bare, save for the shoulder-pieces of the corslet, and he bears a torch or fire-wand, somewhat similar to that of the Zelator Adeptus Minor. Beneath the chariot are flames, some waved, some salient.
Swift, strong, hasty; rather violent, yet just and generous; noble and scorning meanness.
If ill dignified — cruel, intolerant, prejudiced and ill natured.
Etteilla
Departure
Upright: This card, as far as the medicine of the spirit is concerned, means, in its natural position: Departure, Displacement, Removal, Absence, Abandonment, Change, Escape, Desertion, Transmigration, Emigration. – Transposition, Translocation, Transplantation, Transmutation, Evasion.
Reversed: Disunion, Disagreement, Rupture, Dissension, Division, Competition, Separation, Partition. – Faction, Party. – Complaint, Altercation. – Cut, Fracture, Discontinuity, Interruption.