query: Similarity in the solution for diffusion and Schrödinger equations
positive_passages.docid: 24903
positive_passages.text: Connection between Schrödinger equation and heat equation
negative_passages.docid: 133609
negative_passages.text: orthonormal system in a Hilbert space
negative_passages.docid: 93848
negative_passages.text: Proving energy conservation for wave equation
negative_passages.docid: 17785
negative_passages.text: Variational Derivation of Schrodinger Equation
negative_passages.docid: 59370
negative_passages.text: Weak solutions to the Neumann's problem (Evans PDE)
negative_passages.docid: 116718
negative_passages.text: Motivating the ansatz for the infinitesimal translation operator
negative_passages.docid: 65077
negative_passages.text: Differential Equations, unique solution
negative_passages.docid: 137349
negative_passages.text: Solving Wave Equation with Initial Values
negative_passages.docid: 29130
negative_passages.text: Abstract Wave with Particle System
negative_passages.docid: 137152
negative_passages.text: Free particle Schrodinger equation: propagator
negative_passages.docid: 8145
negative_passages.text: Comparison theorem for ODE
negative_passages.docid: 59235
negative_passages.text: Finding eigenvalues of a differential operator
negative_passages.docid: 114562
negative_passages.text: Boundary conditions for calculus of variations in phase space and under canonical transformations
negative_passages.docid: 52997
negative_passages.text: How to reformulate differential equation problem as OrnsteinUhlenbeckProcess
negative_passages.docid: 18942
negative_passages.text: An equivalent definition of uniform integrability
negative_passages.docid: 51644
negative_passages.text: Differential Equations for Physicists
negative_passages.docid: 95717
negative_passages.text: Same eigenvalues, but not similar