Proc. Indian Acad. Sci. (Math. Sci.) Vol. 112, No. 1, February 2002, pp. 55–70. © Printed in India Energy transfer in scattering by rotating potentials VOLKER ENSS1 , VADIM KOSTRYKIN2 and ROBERT SCHRADER3

Source URL: www.ias.ac.in

• Quantum mechanics
• Distribution
• Convolution
• Hamiltonian
• Bounded operator
• Spectral theory of ordinary differential equations
• Itō diffusion
• Mathematical analysis
• Operator theory
• Functional analysis

ON STABLE CYCLES AND CYCLE DOUBLE COVERS OF GRAPHS WITH LARGE CIRCUMFERENCE JONAS HÄGGLUND AND KLAS MARKSTRÖM Abstract. A cycle C in a graph is called stable if there exist no other cycle D in the same graph such that

Source URL: abel.math.umu.se

• Cycle double cover
• Petersen graph
• Hypohamiltonian graph
• Cubic graph
• Hamiltonian path
• Induced path
• Extremal graph theory
• Cycle graph
• Planar graph
• Graph theory
• Graph coloring
• Snark

Even cycle decompositions of 4-regular graphs and line graphs Klas Markstr¨ om Abstract. An even cycle decomposition of a graph is a partition of its edge into even cycles. We first give some results on the existence of

Source URL: abel.math.umu.se

• Graph operations
• Cubic graph
• Petersen graph
• Cycle double cover
• Snark
• Hamiltonian path
• Cycle graph
• Line graph
• Planar graph
• Graph theory
• Graph coloring
• Conjectures

Week 5 (due Feb[removed]Problem[removed]ab) (20pts). 2. Problem[removed]abcdefg) (50pts). 3. Consider a theory of Dirac fermions with mass m interacting via a quartic interaction ¯ µ ψ ψγ

Source URL: www.theory.caltech.edu

• Computational chemistry
• Hamiltonian
• Quantum chemistry
• Theoretical chemistry
• Schrödinger equation
• Physics
• Quantum field theory
• Quantum mechanics

Week 6 (due Nov. 13) Reading: Srednicki, sections 6 and[removed]The transition amplitude in nonrelativistic Quantum Mechanics is defined by K(q 0 , q; T ) = hq 0 |e−iHT |qi. Here H is the usual Hamiltonian, i.e.

Source URL: www.theory.caltech.edu

• Q-analogs
• Theoretical physics
• Statistical mechanics
• Creation and annihilation operators
• Operator
• Mock modular form
• Meijer G-function
• Physics
• Quantum field theory
• Quantum mechanics

Week 5 (due Nov. 7) Reading: Srednicki, sections 6 and[removed]The transition amplitude in nonrelativistic Quantum Mechanics is defined by K(q ′ , q; T ) = hq ′ |e−iHT |qi. Here H is the usual Hamiltonian, i.e.

Source URL: www.theory.caltech.edu

• Quantum mechanics
• Theoretical physics
• Creation and annihilation operators
• Operator
• Mock modular form
• Meijer G-function
• Physics
• Quantum field theory
• Q-analogs

Week 4 (due Oct[removed]The transition amplitude in nonrelativistic Quantum Mechanics is defined by K(q 0 , q; T ) = hq 0 |e−iHT |qi. Here H is the usual Hamiltonian, i.e. H=

Source URL: www.theory.caltech.edu

• Q-analogs
• Theoretical physics
• Statistical mechanics
• Creation and annihilation operators
• Operator
• Mock modular form
• Meijer G-function
• Physics
• Quantum field theory
• Quantum mechanics

Week 5 (due May[removed]Consider a classical particle on a manifold X with an action Z
pi dq i − αi dq i − H(p, q)dt . S=

Source URL: www.theory.caltech.edu

• Hamiltonian mechanics
• Theoretical physics
• Symplectic vector space
• Poisson bracket
• Symplectic manifold
• Tautological one-form
• Differential topology
• Symplectic geometry
• Algebra

Week 9 (due March[removed]its). Consider Dirac fermions coupled to a background scalar ¯ field φ(x) via the interaction Lint = g ψψφ. Compute the low-energy effective Hamiltonian for the nonrelativistic Fermi fie

Source URL: www.theory.caltech.edu

1 Content of the course ”Quantum Field Theory” by M. Srednicki, Part 1.

Source URL: www.theory.caltech.edu

• Operator
• Μ operator
• Hamiltonian
• Quantum field theory
• Creation and annihilation operators
• Self-adjoint operator
• Schrödinger equation
• Linear temporal logic
• Physics
• Quantum mechanics
• Wave function