Generally, circulated Seated Liberty dollars from 1863 with average wear can range from approximately $30 to $70. Uncirculated specimens in mint state (MS) condition can be significantly more valuable. High-grade uncirculated Seated Liberty dollars, especially those graded MS65 or higher, can command prices in the thousands of dollars or even more.
If your 1863 US silver dollar has any unique characteristics, mint errors, or significant historical significance, its value could potentially be higher. However, a proper evaluation by a numismatic expert is crucial for determining its true worth.