Harmonic analysis is a branch of mathematics concerned with investigating the connections between a function and its representation in frequency. The frequency representation is found by using the Fourier transform for functions on the real line, or by Fourier series for periodic functions. Generalizing these transforms to other domains is generally called Fourier analysis, although the term is sometimes used interchangeably with harmonic analysis. Harmonic Analysis has become a vast subject with applications in areas as diverse as number theory, representation theory, signal processing, quantum mechanics, tidal analysis and neuroscience.
The mathematical formulations of quantum mechanics are those mathematical formalisms that permit a rigorous description of quantum mechanics. This mathematical formalism uses mainly a part of functional analysis, especially Hilbert spaces, which are a kind of linear space. Such are distinguished from mathematical formalisms for physics theories developed prior to the early 1900s by the use of abstract mathematical structures, such as infinite-dimensional Hilbert spaces, and operators on these spaces. In brief, values of physical observables such as energy and momentum were no longer considered as values of functions on phase space, but as eigenvalues; more precisely as spectral values of linear operators in Hilbert space.
Quantum mechanics is a fundamental theory in physics that provides a description of the physical properties of nature at the scale of atoms and subatomic particles. It is the foundation of all quantum physics including quantum chemistry, quantum field theory, quantum technology, and quantum information science.
The Schrödinger equation is a linear partial differential equation that governs the wave function of a quantum-mechanical system. It is a key result in quantum mechanics, and its discovery was a significant landmark in the development of the subject. The equation is named after Erwin Schrödinger, who postulated the equation in 1925, and published it in 1926, forming the basis for the work that resulted in his Nobel Prize in Physics in 1933.
In mathematics and physical science, spherical harmonics are special functions defined on the surface of a sphere. They are often employed in solving partial differential equations in many scientific fields.
Catherine Ann Asaro is an American science fiction and fantasy author, singer and teacher. She is best known for her books about the Ruby Dynasty, called the Saga of the Skolian Empire.
Catch the Lightning is a novel by Catherine Asaro in the Saga of the Skolian Empire, also known as Tales of the Ruby Dynasty. The novel won the 1998 Sapphire Award for Best Science Fiction Romance and the UTC Readers Choice Award for Best Science Fiction Novel.
Schism is a novel in the Saga of the Skolian Empire, a series of science fiction books by Catherine Asaro. It was first published in 2004.
Skyfall is a 2003 novel by Catherine Asaro which tells the story of how Roca met her husband Eldrinson, Bard of Dalvador, ruler of a province on Skyfall.
The Moon's Shadow is a novel from the Saga of the Skolian Empire by Catherine Asaro which tells the story of Jaibriol Qox III—how he became emperor of Eube after the interstellar Radiance War, and founded peace talks between his people, the Eubians, and those of the Skolian Imperialate.
Ascendant Sun is a novel which tells the story of how Kelric made it back to Earth, to become Imperator of the Skolian Empire and lead his people towards peace with the Eubians in the Saga of the Skolian Empire series by Catherine Asaro.
The Eubians refers to the fictional people of the Eubian Concord in the Saga of the Skolian Empire by Catherine Asaro. They are often portrayed as antagonists in those novels, enemy to the rivaling Skolian Empire.
The Saga of the Skolian Empire, informally called the Skolian Saga or Tales of the Ruby Dynasty, is a series of science fiction novels, novellas and novelettes by Catherine Asaro, revolving around characters from an interstellar empire known as the Skolian Empire and their power struggle with the rival Eubian Concord. The plot of the book unfolds over several generations of characters and revolves around political intrigues, but also contains subplots regarding physics, bio-enhancements, virtual computer networks, romance, mathematics, and military conflict as it is affected by superluminal space travel.
The Quantum Rose is a science fiction novel by Catherine Asaro which tells the story of Kamoj Argali and Skolian Prince Havyrl Valdoria. The book is set in her Saga of the Skolian Empire. It won the 2001 Nebula Award for Best Novel and the 2001 Affaire de Coeur Award for Best Science Fiction. The first third of the novel appeared as a three-part serialization in Analog magazine in the 1999 May, June and July/August issues. Tor Books published the full novel in 2000.
Rhon psions, also known as Ruby psions are a fictional group of extremely powerful psionics in the Saga of the Skolian Empire by Catherine Asaro.
Primary Inversion is a science fiction novel in the Saga of the Skolian Empire by Catherine Asaro. As Asaro's debut novel, it first appeared as a hardcover in 1995. It was nominated for the 1996 Compton Crook/Stephen Tall Memorial Award and placed tenth on the list for the Locus Award for Best First Novel.
The Final Key is a science fiction novel in the Saga of the Skolian Empire, a series of books by American writer Catherine Asaro. As the direct sequel to Schism, it tells the story of a major Eubian assault against the Skolian government and Eldrinson's rise from a rustic farmer to a member of the powerful imperial Triad.
The Radiant Seas is a novel from the Saga of the Skolian Empire series of books by Catherine Asaro. The book continues where Primary Inversion ended and centers on the story of the devastating interstellar Radiance War. It won the HOMer Award for Best Novel of 2000 from the SF and Fantasy forum on CompuServe.
This is the bibliography of American space opera and hard science fiction author Catherine Asaro.
