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Quantity (common name/s) (Common) symbol/s Defining equation SI unit Dimension Wavefunction: ψ, Ψ : To solve from the Schrödinger equation: varies with situation and number of particles
The phenomenology of quantum physics arose roughly between 1895 and 1915, and for the 10 to 15 years before the development of quantum mechanics (around 1925) physicists continued to think of quantum theory within the confines of what is now called classical physics, and in particular within the same mathematical structures.
quantum mechanics, matrix mechanics, Hamiltonian (quantum mechanics) particle in a box; particle in a ring; particle in a spherically symmetric potential; quantum harmonic oscillator; hydrogen atom; ring wave guide; particle in a one-dimensional lattice (periodic potential) Fock symmetry in theory of hydrogen
Introductory Quantum Mechanics. Addison-Wesley. ISBN 0-8053-8714-5. Shankar, R. (1994). Principles of Quantum Mechanics. Springer. ISBN 0-306-44790-8. Claude Cohen-Tannoudji; Bernard Diu; Frank Laloë (2006). Quantum Mechanics. Wiley-Interscience. ISBN 978-0-471-56952-7. Graduate textook Sakurai, J. J. (1994). Modern Quantum Mechanics. Addison ...
Defining equation (physical chemistry) List of equations in classical mechanics; Table of thermodynamic equations; List of equations in wave theory; List of relativistic equations; List of equations in fluid mechanics; List of electromagnetism equations; List of equations in gravitation; List of photonics equations; List of equations in quantum ...
Quantum mechanics is a fundamental theory that describes the behavior of nature at and below the scale of atoms. [2]: 1.1 It is the foundation of all quantum physics, which includes quantum chemistry, quantum field theory, quantum technology, and quantum information science. Quantum mechanics can describe many systems that classical physics cannot.
Introduction to Quantum Mechanics: Schrödinger Equation and Path Integral (2nd ed.). World Scientific. ISBN 9789814397735. Sakurai, J. J.; Napolitano, Jim (2017). Modern Quantum Mechanics (2nd ed.). Cambridge University Press. ISBN 978-1-108-42241-3. Leonard I. Schiff (1968) Quantum Mechanics McGraw-Hill Education
The mathematical formulation of quantum mechanics (QM) is built upon the concept of an operator. Physical pure states in quantum mechanics are represented as unit-norm vectors (probabilities are normalized to one) in a special complex Hilbert space. Time evolution in this vector space is given by the application of the evolution operator.